{"id":30861,"date":"2026-04-01T11:41:01","date_gmt":"2026-04-01T06:11:01","guid":{"rendered":"https:\/\/icert.org.in\/?page_id=30861"},"modified":"2026-04-03T08:14:30","modified_gmt":"2026-04-03T02:44:30","slug":"advancing-inclusive-mathematics-education-through-logic-based-instruction-gender-perspectives-on-upper-basic-students-achievement-in-directed-numbers-in-egbeda-oyo-state","status":"publish","type":"page","link":"https:\/\/icert.org.in\/index.php\/advancing-inclusive-mathematics-education-through-logic-based-instruction-gender-perspectives-on-upper-basic-students-achievement-in-directed-numbers-in-egbeda-oyo-state\/","title":{"rendered":"Advancing Inclusive Mathematics Education through Logic-Based Instruction: Gender Perspectives on Upper Basic Students\u2019 Achievement in Directed Numbers in Egbeda, Oyo State"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"30861\" class=\"elementor elementor-30861\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b455901 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b455901\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e208dd9\" data-id=\"e208dd9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d023dc4 elementor-widget elementor-widget-heading\" data-id=\"d023dc4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Shodh Sari-An International Multidisciplinary Journal<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53adb2b elementor-widget elementor-widget-heading\" data-id=\"53adb2b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Vol-05, Issue-02(Apr - Jun 2026)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8d7ed11 elementor-widget elementor-widget-heading\" data-id=\"8d7ed11\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">An International scholarly\/ academic journal, peer-reviewed\/ refereed journal, ISSN : 2959-1376<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e703063 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e703063\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a12ec03\" data-id=\"a12ec03\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7a2a208 elementor-widget elementor-widget-heading\" data-id=\"7a2a208\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Advancing Inclusive Mathematics Education through Logic-Based Instruction: Gender Perspectives on Upper Basic Students\u2019 Achievement in Directed Numbers in Egbeda, Oyo State\n<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4c67856 elementor-widget elementor-widget-text-editor\" data-id=\"4c67856\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Raheem, Tunde Rasheed<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">1<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> and Sam-Kayode, Christianah Olajumoke<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">2<\/span><\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">\u00a0<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">1<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Department of Computer Science (Mathematics Unit), Faculty of Natural and Applied Sciences;<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">2<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Department of Science and Technology Education, Faculty of Education.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">1,2<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Lead City University, Ibadan, Oyo State, Nigeria<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">ORCiD: <\/span><a style=\"font-style: inherit; font-weight: inherit; background-color: #ffffff;\" href=\"https:\/\/orcid.org\/0009-0008-1002-1354\"><span style=\"background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline;\"><span style=\"color: #000000; font-family: Arial, sans-serif;\"><span style=\"font-size: 16px; white-space-collapse: preserve;\"><span style=\"font-size: 12pt; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; font-variant-emoji: normal; vertical-align: baseline;\"><span style=\"font-size: 0.6em; vertical-align: super;\">2<\/span><\/span><span style=\"color: #3366ff;\">0009-0008-1002-1354<\/span><\/span><\/span><\/span><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-943ce82 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"943ce82\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-310d173\" data-id=\"310d173\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-96b76c0 elementor-widget__width-inherit elementor-widget elementor-widget-elementskit-simple-tab\" data-id=\"96b76c0\" data-element_type=\"widget\" data-widget_type=\"elementskit-simple-tab.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"ekit-wid-con\" >        <div class=\"elementkit-tab-wraper vertical  elementskit-fitcontent-tab \">\n            <ul class=\"nav nav-tabs elementkit-tab-nav \">\n                                    <li class=\"elementkit-nav-item elementor-repeater-item-ca158ed\">\n                        <a class=\"elementkit-nav-link  active show left-pos\" id=\"content-ca158ed69d8da69baf44-tab\" data-ekit-handler-id=\"abstract\" data-ekit-toggle=\"tab\" data-target=\"#content-ca158ed69d8da69baf44\" href=\"#Content-ca158ed69d8da69baf44\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-ca158ed69d8da69baf44\">\n                            <span class=\"far fa-file-alt elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Abstract<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-62e3348\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-62e334869d8da69baf44-tab\" data-ekit-handler-id=\"about-author\" data-ekit-toggle=\"tab\" data-target=\"#content-62e334869d8da69baf44\" href=\"#Content-62e334869d8da69baf44\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-62e334869d8da69baf44\">\n                            <span class=\"far fa-user elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> About Author<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-e351830\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-e35183069d8da69baf44-tab\" data-ekit-handler-id=\"impact-statement\" data-ekit-toggle=\"tab\" data-target=\"#content-e35183069d8da69baf44\" href=\"#Content-e35183069d8da69baf44\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-e35183069d8da69baf44\">\n                            <span class=\"fas fa-file-import elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Impact Statement<\/span>\n                        <\/a>\n                    <\/li>\n                                        <li class=\"elementkit-nav-item elementor-repeater-item-bb8dae5\">\n                        <a class=\"elementkit-nav-link  left-pos\" id=\"content-bb8dae569d8da69baf44-tab\" data-ekit-handler-id=\"cite-this-article\" data-ekit-toggle=\"tab\" data-target=\"#content-bb8dae569d8da69baf44\" href=\"#Content-bb8dae569d8da69baf44\"\n                            data-ekit-toggle-trigger=\"click\"\n                            aria-describedby=\"Content-bb8dae569d8da69baf44\">\n                            <span class=\"far fa-address-card elementskit-tab-icon\"><\/span>                            <span class=\"elementskit-tab-title\"> Cite this Article<\/span>\n                        <\/a>\n                    <\/li>\n                                <\/ul>\n\n            <div class=\"tab-content elementkit-tab-content\">\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-ca158ed  active show\" id=\"content-ca158ed69d8da69baf44\" role=\"tabpanel\"\n                         aria-labelledby=\"content-ca158ed69d8da69baf44-tab\">\n                        <div class=\"animated fadeIn\">\n                            <p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Abstract<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Inclusive and equitable Mathematics education is essential for sustainable development, particularly at the upper basic level were foundational concepts shape future learning pathways. Directed numbers introduce learners to integers, additive inverse relationships, and inequalities, yet persistent learning difficulties and concerns about gender disparities continue to affect students\u2019 achievement. This study investigated the main and interaction effects of gender and a logic-based teaching strategy on upper basic students\u2019 achievement in directed numbers in Egbeda Local Government Area, Oyo State. Two hypotheses were formulated and tested at the 0.05 level of significance. A quasi-experimental pre-test, post-test control group design was adopted. Using a multistage sampling procedure, two public junior secondary schools were selected, yielding a sample of 49 JSS II students (23 males and 26 females). Data were collected using the Integer Operations Achievement Test (IOAT) (KR-20 = 0.76) and analyzed using Analysis of Covariance (ANCOVA). Results revealed no significant main effect of gender (F<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\"> (1; 46)<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> = 0.192, p &gt; 0.05, partial \u03b7\u00b2 = 0.004) and no significant interaction effect of gender and logic-based teaching strategy (F<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\"> (3; 44)<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> = 0.926, p &gt; 0.05, partial \u03b7\u00b2 = 0.059) on upper basic students\u2019 achievement in directed numbers. However, descriptive results indicated that the logic-based strategy reduced observable gender performance gaps when compared with the traditional teaching approach, suggesting a more balanced learning environment for both male and female students. In contrast, the traditional strategy displayed wider gender disparities in achievement. Although the interaction effects did not reach statistical significance, the study highlights the potential of logic-based instructional approaches to promote inclusivity and equity in Mathematics learning. It concludes that fostering inclusive futures in education requires sustained exploration of learner-centered and cognitively supportive strategies capable of narrowing gender gaps and strengthening conceptual understanding in foundational Mathematics topics. It is recommended that Mathematics teachers should integrate logic-based and learner-centered strategies alongside existing methods to strengthen conceptual understanding and promote equity.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Keywords: <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Inclusive Mathematics,<\/span> <span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Academic Achievement, Directed Numbers, Gender, Logic Based Teaching Strategy\u00a0<\/span><\/p>                        <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-62e3348 \" id=\"content-62e334869d8da69baf44\" role=\"tabpanel\"\n                         aria-labelledby=\"content-62e334869d8da69baf44-tab\">\n                        <div class=\"animated fadeIn\">\n                            <p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Authors\u2019 Profiles<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Tunde Rasheed Raheem is an Assistant Lecturer in the Department of Computer Science (Mathematics Unit), Faculty of Natural and Applied Sciences, Lead City University, Ibadan, Nigeria. He holds Bachelor of Science (Education) and Master of Science (Education) degrees in Mathematics Education from Lead City University and is currently pursuing a Doctor of Philosophy degree in Mathematics Education. His research interests include ethno-Mathematics, mathematical logic, coding systems, artificial intelligence in Mathematics Education, and innovative teaching and learning of Mathematics and Sciences. He has authored and co-authored articles in peer-reviewed journals and has presented scholarly papers at national and international conferences. He is a registered and active member of the Teachers Registration Council of Nigeria (TRCN), the Mathematical Association of Nigeria (MAN), and the Education Dialogue Association (EDUDIA).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Christianah Olajumoke Sam-Kayode is a Senior Lecturer in the Department of Science and Technology Education, Faculty of Education, Lead City University, Ibadan, Nigeria. She holds a Doctor of Philosophy degree, Master of Education degree, and Bachelor of Science (Education) degree in Mathematics Education from the University of Ilorin, Nigeria, as well as a Postgraduate Diploma in Statistics from Olabisi Onabanjo University. Her research focuses on innovative teaching and learning of Mathematics and Sciences, teachers\u2019 pedagogical practices, and students\u2019 learning experiences across educational levels. She has supervised over seventy undergraduate and postgraduate research projects, published extensively in reputable peer-reviewed journals, and presented papers at national and international conferences. She also serves as a reviewer for international journals and is an active member of several professional academic bodies, including TRCN, MAN, STAN, ASSEREN, TRENIS, and EDUDIA.<\/span><\/p>                        <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-e351830 \" id=\"content-e35183069d8da69baf44\" role=\"tabpanel\"\n                         aria-labelledby=\"content-e35183069d8da69baf44-tab\">\n                        <div class=\"animated fadeIn\">\n                            <p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Impact Statement<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">This study underscores the importance of inclusive and equitable Mathematics education in shaping students\u2019 foundational understanding and future learning pathways. The findings demonstrate that a logic-based teaching strategy can reduce gender disparities in achievement in directed numbers, highlighting a practical approach for creating more balanced and supportive learning environments. Although gender and strategy interactions were not statistically significant, the observable narrowing of performance gaps suggests that structured, concept-focused instruction benefits all learners, regardless of gender. These results have important implications for curriculum design and classroom practice, emphasizing the adoption of learner-centered and cognitively supportive methods that strengthen conceptual understanding while promoting fairness and inclusivity. Over time, such approaches can advance educational equity, empower learners with robust mathematical reasoning skills, and support sustainable development goals by ensuring that all students have opportunities to succeed in foundational Mathematics.<\/span><\/p>                        <\/div>\n                    <\/div>\n                                    <div class=\"tab-pane elementkit-tab-pane elementor-repeater-item-bb8dae5 \" id=\"content-bb8dae569d8da69baf44\" role=\"tabpanel\"\n                         aria-labelledby=\"content-bb8dae569d8da69baf44-tab\">\n                        <div class=\"animated fadeIn\">\n                            <p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: center; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Cite This Article<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">APA (7th Edition): Raheem, T. R., &amp; Sam-Kayode, C. O. (2026). Advancing inclusive mathematics education through logic-based instruction: Gender perspectives on upper basic students\u2019 achievement in directed numbers in Egbeda, Oyo State. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Shodh Sari-An International Multidisciplinary Journal<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">5<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">(2), 64\u201388. <\/span><a style=\"text-decoration: none;\" href=\"https:\/\/doi.org\/10.59231\/SARI7915\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #0563c1; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: underline; -webkit-text-decoration-skip: none; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;\">https:\/\/doi.org\/10.59231\/SARI7915<\/span><\/a><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">MLA (9th Edition): Raheem, Tunde Rasheed, and Christianah Olajumoke Sam-Kayode. &#8220;Advancing Inclusive Mathematics Education through Logic-Based Instruction: Gender Perspectives on Upper Basic Students\u2019 Achievement in Directed Numbers in Egbeda, Oyo State.&#8221; <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Shodh Sari-An International Multidisciplinary Journal<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, vol. 5, no. 2, 2026, pp. 64\u201388, doi:10.59231\/SARI7915.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Chicago (17th Edition): Raheem, Tunde Rasheed, and Christianah Olajumoke Sam-Kayode. &#8220;Advancing Inclusive Mathematics Education through Logic-Based Instruction: Gender Perspectives on Upper Basic Students\u2019 Achievement in Directed Numbers in Egbeda, Oyo State.&#8221; <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Shodh Sari-An International Multidisciplinary Journal<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> 5, no. 2 (2026): 64\u201388. <\/span><a style=\"text-decoration: none;\" href=\"https:\/\/doi.org\/10.59231\/SARI7915\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #0563c1; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: underline; -webkit-text-decoration-skip: none; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;\">https:\/\/doi.org\/10.59231\/SARI7915<\/span><\/a><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">.<\/span><\/p>                        <\/div>\n                    <\/div>\n                                \n            <\/div>\n                    <\/div>\n    <\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-946a149 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"946a149\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-9d2c544\" data-id=\"9d2c544\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0ed76fe elementor-align-justify elementor-mobile-align-left elementor-widget-tablet__width-initial elementor-widget 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data-id=\"950b07a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8d25ee0 elementor-align-justify elementor-mobile-align-left elementor-widget-tablet__width-initial elementor-widget elementor-widget-button\" data-id=\"8d25ee0\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/archive.org\/download\/371.-advancing-inclusive-mathematics-education-through-logic-based-instruction-g\/371.%20Advancing%20Inclusive%20Mathematics%20Education%20through%20Logic-Based%20Instruction%20Gender%20Perspectives%20on%20Upper%20Basic%20Students%E2%80%99%20Achievement%20in%20Directed%20Numbers%20in%20Egbeda%2C%20Oyo%20State.pdf\">\n\t\t\t\t\t\t<span 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class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bbc1695 elementor-widget-tablet__width-initial elementor-widget elementor-widget-shortcode\" data-id=\"bbc1695\" data-element_type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><div class=\"sdm_download_count\"><span class=\"sdm_count_number\">22<\/span><span class=\"sdm_count_string\"> Downloads<\/span><\/div><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3fa85e0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3fa85e0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-56bed69\" data-id=\"56bed69\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-b015a33 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b015a33\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-cfeb02d\" data-id=\"cfeb02d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b833d90 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"b833d90\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p dir=\"ltr\" style=\"line-height: 1.2; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">DOI: <\/span><a style=\"text-decoration: none;\" href=\"https:\/\/doi.org\/10.59231\/SARI7915\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #0563c1; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: underline; -webkit-text-decoration-skip: none; text-decoration-skip-ink: none; vertical-align: baseline; white-space: pre-wrap;\">https:\/\/doi.org\/10.59231\/SARI7915<\/span><\/a><\/p><p dir=\"ltr\" style=\"line-height: 1.2; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Subject: Mathematics Education \/ STEM<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.2; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Page Numbers: 64\u201388<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-ddcca9f\" data-id=\"ddcca9f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5f99029 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"5f99029\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p dir=\"ltr\" style=\"line-height: 1.2; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Received: Feb 10, 2026<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.2; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Accepted: Mar 06, 2026<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.2; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Published: Apr 01, 2026<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-41eab58 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"41eab58\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p dir=\"ltr\" style=\"line-height: 1.2; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Thematic Classification: Inclusive Education, Logic-Based Instruction (LBI), Gender Studies in Mathematics, and Basic Education Curriculum Development.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-90d524a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"90d524a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e25e19d\" data-id=\"e25e19d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-040f7b1 elementor-widget elementor-widget-heading\" data-id=\"040f7b1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h6 class=\"elementor-heading-title elementor-size-default\">Introduction\n<\/h6>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-602b037 elementor-widget elementor-widget-text-editor\" data-id=\"602b037\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Inclusive and equitable quality education remains central to sustainable development, particularly within science and Mathematics classrooms where foundational concepts shape learners\u2019 future participation in society (Jangde &amp; Ahmad, 2025). Mathematics is a cornerstone of the Nigerian educational system and a key driver of such inclusive and equitable education. At the upper basic level, Mathematics instruction plays a critical role in shaping learners\u2019 cognitive development, logical reasoning, and readiness for advanced scientific and technological learning (Ikyanyi et al., 2023). Among these foundational concepts is Directed Numbers, which serves as the formal introduction to integers and their operations. Through directed numbers, learners are expected to understand positive and negative values, the additive inverse, and comparisons using inequality symbols; skills that are fundamental to proficiency in broader integer operations. Despite the importance of this topic, many upper basic school students continue to struggle with persistent misconceptions that impede accurate computation and meaningful problem-solving (Gyampoh et al., 2020; Kwakye et al., 2022).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Research consistently shows that students demonstrate a wide range of misconceptions in learning integer operations. Common errors include adding and subtracting signed numbers incorrectly, misapplying multiplication and division rules, and making persistent mistakes when converting verbal statements into mathematical expressions (Harun et al., 2024; Rosyidah et al., 2021). For instance, in addition of integers, learners often ignore the rule of combining unlike signs, producing incorrect answers such as 3 + (\u20133) = 6 or (\u201340) + 10 = \u201350. Similarly, in subtraction tasks such as \u201csubtract 41 from \u201357,\u201d students frequently reverse the operation or misinterpret the phrase, giving responses like 41 \u2013 57 instead of \u201357 \u2013 41 = \u201398. These misconceptions become more pronounced when dealing with larger or smaller numbers or when transforming word problems into symbolic form (Harun et al., 2024).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">The same problem is evident in multiplication and division. Many students forget or confuse sign rules, solving (\u20135) \u00d7 6 or 16 \u00d7 (\u20134) as positive values, or mishandling like signs by concluding that (\u20138) \u00d7 (\u20135) = \u201340 instead of 40. In division, students often calculate the correct numerical value but assign the wrong sign, for example solving 45 \u00f7 (\u20139) as 5 instead of \u20135. These errors are strongly linked to procedural gaps, rule confusion, and difficulty with negative signs (Harun et al., 2024).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Another critical gap relates to the misinterpretation of inequality symbols. A study involving pre-service teachers revealed that less than half correctly placed appropriate symbols between integers such as \u201312 and 8. Error rates increased when participants attempted to supply integers for inequalities such as y &lt; \u20135 and \u201310 &lt; k, with many listings incorrect positive or negative values. These misconceptions were traced to early instructional practices that encouraged mechanical interpretation rather than conceptual understanding (Toxtle-Colotl et al., 2025).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">A further gap concerns difficulties with additive inverse operations, where learners fail to transfer knowledge correctly when solving algebraic equations. For example, in the equation \u2013x + 4 = 7, many students incorrectly conclude that x = 3 instead of the correct solution x = \u20133. Similar errors occur when inequalities involve inverse operations, such as \u2013x &gt; \u20133 and \u2013x &gt; 3, where students often fail to reverse the inequality sign appropriately. These challenges reflect confusion in handling inverse relationships involving negative integers (Raheem et al., 2025).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Altogether, these gaps reveal deep-rooted challenges in students\u2019 conceptual understanding of integer operations. Misconceptions in addition, subtraction, multiplication, and division of signed numbers, alongside persistent difficulties with additive inverse and inequality symbols, underscore the urgent need for instructional approaches that prioritize conceptual clarity over procedural memorization.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Traditional methods of teaching, often characterized by rote memorization and repetitive drills, have not sufficiently addressed these challenges. Students may memorize rules for integer operations without developing the logical reasoning needed to apply them flexibly in new contexts. As a result, errors persist and learners struggle to transfer knowledge to unfamiliar or word-based problems. This limitation highlights the need for instructional strategies that promote logical reasoning and structured problem-solving (Raheem et al., 2025).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Another important dimension in Mathematics achievement is gender disparity. Research presents mixed findings on whether male or female students perform better in Mathematics. While some studies suggest that males often perform better in problem-solving tasks, others report that females perform equally well when supported by appropriate instructional strategies (Cahyadi et al., 2023; Norhaslina et al., 2025). In Nigeria, cultural expectations, classroom interactions, and learner confidence further influence how gender differences manifest in Mathematics learning outcomes.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Addressing these challenges requires instructional approaches that are both effective and inclusive. Inclusive Mathematics instruction accommodates diverse learning needs, backgrounds, and cognitive strengths. In this regard, logic-based teaching strategies provide a promising framework. Drawing on logical reasoning and coding principles particularly the use of truth tables and structured logical patterns; this strategy presents integer concepts in a systematic and visual manner. By mapping possible outcomes of operations involving directed numbers, the approach reduces reliance on rote memorization, strengthens conceptual understanding, and supports learners who struggle with abstract numerical relationships (Phalguni et al., 2023; Raheem et al., 2025).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">In Egbeda local government area of Oyo state, where upper basic school students are expected to acquire mastery of directed numbers as part of the national curriculum, persistent underachievement in Mathematics raises concerns for educators and policymakers alike. The integration of a logic-based teaching strategy into classroom instruction may provide a pathway to improving students\u2019 achievement in directed numbers, while also shedding light on how gender moderates its effectiveness.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Taken together, the evidence reveals three important gaps. First, despite the centrality of integer operations; misconceptions in additive inverse, sign rules, and inequality interpretation persist among learners in directed numbers, suggesting that current instructional methods are inadequate. Second, logic-based teaching strategy, though widely used in computing and engineering, remain underexplored in the context of Nigerian secondary Mathematics classrooms, particularly in addressing students\u2019 difficulties with integers. Third, there is limited empirical evidence on how such strategies might interact with gender differences in Mathematics achievement. Addressing these gaps is crucial, not only for improving student outcomes in directed numbers but also for promoting gender equity in Mathematics education.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Anchored on this perspective, the present study examines the gender and logic-based teaching strategy effects on upper basic students\u2019 achievement in directed numbers in Egbeda Local Government Area, Oyo State, with attention to how the strategy compares with the traditional method and how factors such as gender may influence learning outcomes.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Literature Review<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Inclusive and equitable education has increasingly been positioned as a foundation for sustainable development, particularly in disciplines such as Mathematics where early conceptual understanding shapes later academic progression and societal participation (Jangde &amp; Ahmad, 2025). In the Nigerian context, Mathematics occupies a central place in the curriculum and serves as a gateway to science, technology, and innovation. At the upper basic level, instruction is expected to strengthen learners\u2019 logical reasoning, analytical thinking, and readiness for more advanced studies (Ikyanyi et al., 2023). Within this framework, directed numbers represent a critical transition point, introducing students to integers, additive inverses, and inequality relationships that underpin algebraic reasoning. Despite its foundational importance, research continues to report persistent underachievement and widespread misconceptions in this topic (Gyampoh et al., 2020; Kwakye et al., 2022).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Empirical studies consistently document conceptual and procedural difficulties in students\u2019 understanding of integer operations. Learners frequently misinterpret the rules governing signed numbers, particularly in addition and subtraction, where unlike signs are often combined incorrectly (Harun et al., 2024; Rosyidah et al., 2021). Errors also arise in interpreting verbal statements and translating them into symbolic representations, indicating gaps in conceptual clarity rather than simple computational weakness. Similar patterns are evident in multiplication and division of integers, where confusion about sign rules leads to systematic mistakes. Such misconceptions tend to intensify when tasks involve larger numbers, contextual word problems, or multiple-step reasoning (Harun et al., 2024).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Beyond computation, challenges extend to inequalities and inverse relationships. Research involving both students and pre-service teachers have shown limited understanding of comparing negative and positive integers and determining values that satisfy inequality statements (Toxtle-Colotl et al., 2025). Difficulties are further compounded when inverse operations are introduced in algebraic contexts, particularly where negative variables require careful manipulation and sign reversal (Raheem et al., 2025). These findings suggest that early exposure to integer operations often emphasizes procedural memorization without sufficiently developing conceptual reasoning, resulting in persistent misunderstandings.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Concerns about instructional effectiveness have therefore attracted considerable scholarly attention. Traditional approaches, largely characterized by teacher-centered explanations and repetitive drills, have been criticized for reinforcing rule memorization at the expense of conceptual insight. Although such methods may improve short-term performance, they often fail to support flexible application of knowledge in unfamiliar situations. In response, researchers have advocated for instructional strategies that emphasize reasoning, structured representation, and active engagement (Raheem et al., 2025). Intervention studies indicate that concept-focused and scaffolded approaches can enhance mastery of integer operations and reduce recurring errors (Harun et al., 2024; Anggraeni et al., 2025). Similarly, the use of visual models and manipulatives has demonstrated positive effects on students\u2019 understanding of negative numbers and operational relationships (Lacaba, 2025).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">One emerging approach is logic-based instruction, which draws on principles of structured reasoning, symbolic consistency, and pattern recognition. Grounded in logical frameworks such as truth tables and systematic coding structures, this strategy organizes mathematical relationships in ways that make operational patterns explicit (Phalguni et al., 2023; Raheem et al., 2025). By presenting directed numbers through logical mappings of possible outcomes, learners are encouraged to analyze relationships rather than rely solely on memorized rules. Such structured representation has been associated with improved reasoning skills and clearer conceptual understanding, particularly in topics that require consistent application of sign conventions.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Another dimension frequently examined in Mathematics education research is gender disparity. Findings on gender differences in achievement remain inconclusive. Some studies suggest marginal male advantages in specific problem-solving contexts, while others report no significant differences when learners receive structured and supportive instruction (Cahyadi et al., 2023; Norhaslina et al., 2025). Additional research indicates that observed disparities may be influenced by sociocultural expectations, classroom interaction patterns, and learner confidence rather than inherent cognitive differences (Abdussakir et al., 2024). Notably, several intervention studies have shown that when instructional methods are conceptually grounded and inclusive, gender-based performance gaps tend to diminish (Harun et al., 2024; Norhaslina et al., 2025; Raheem et al., 2025).<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Despite growing interest in innovative pedagogies, limited empirical attention has been given to the application of logic-based teaching strategies within Nigerian upper basic Mathematics classrooms. Furthermore, few studies have systematically examined whether such strategies interact with gender in influencing achievement in directed numbers. Given persistent misconceptions in integer operations and ongoing concerns about equity in Mathematics learning, there is a clear need for context-specific research that evaluates both instructional effectiveness and gender-related outcomes.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">The existing literature therefore highlights three interrelated issues: enduring conceptual difficulties in directed numbers, limitations of traditional instructional practices, and inconsistent evidence regarding gender differences in Mathematics achievement. Exploring logic-based instructional strategies within this context provides an opportunity to address these gaps while contributing to broader efforts aimed at strengthening conceptual understanding and promoting inclusive, equitable learning environments in Mathematics education.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Statement of the Problem<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Directed Numbers introduce learners to the foundational principles of integers, including positive and negative values, the additive inverse, and inequality relationships. Despite their importance, evidence from classroom observations, internal assessments, and national examinations consistently shows that many upper basic school students experience substantial difficulties with this topic. Students often rely on memorized rules without understanding the underlying logic, leading to persistent misconceptions such as confusing the signs of numbers, misapplying addition and subtraction rules, and incorrectly interpreting inequalities. These challenges hinder their ability to solve problems accurately and limit their readiness for more advanced mathematical concepts that depend on integer reasoning. As classrooms become increasingly diverse, there is a growing need for inclusive instructional strategies that can address varying learning styles and cognitive strengths. The logic-based teaching strategy, which employs truth tables, logical patterns, and coding structures, offers a systematic and transparent way of presenting integer relationships and may help reduce misconceptions by strengthening conceptual clarity. However, empirical evidence on the effectiveness of this approach in the Nigerian upper basic school context especially in relation to students\u2019 achievement in directed numbers is limited. Furthermore, it remains unclear whether gender differences influence how students respond to such a logic-driven instructional method. These gaps create uncertainty about the suitability and effectiveness of the logic-based teaching strategy for improving students&#8217; achievement in directed numbers. Therefore, there is a need for a study that examines its effect on student learning outcomes and explores whether gender interacts with this strategy to influence achievement.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Aim and Objectives of the Study<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">The aim of this study is to investigate the Gender and Logic-Based Teaching Strategy Effects on Upper Basic Students\u2019 Achievement in Directed Numbers in Egbeda Local Government Area, Oyo State, with a view to advancing inclusive Mathematics education. The objectives are to:<\/span><\/p><ol style=\"margin-top: 0; margin-bottom: 0; padding-inline-start: 48px;\"><li dir=\"ltr\" style=\"list-style-type: lower-roman; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">determine the main effect of gender on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state; and<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: lower-roman; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">examine the interaction effect of gender and logic-based teaching strategy on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state.<\/span><\/p><\/li><\/ol><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Hypotheses<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">The following null hypotheses will be tested at 0.05 level of significance:<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">H<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\">0<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1:<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> There will be no significant main effect of gender on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">H<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\">0<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">2:<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> There will be no significant interaction effect of gender and logic-based teaching strategy on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-indent: -27pt; text-align: justify; margin-top: 0pt; margin-bottom: 10pt; padding: 0pt 0pt 0pt 27pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Methodology<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">This study adopted a quasi-experimental research design, specifically the pre-test, post-test control group design. At the time of this study, the total population of JSS II students in the local government area was 4,301, made up of 2,135 males and 2,166 females (Oyo State Universal Basic Education Board, 2025). JSS II students were chosen because they had already been introduced to basic number operations in earlier classes and were at an appropriate stage for more advanced learning of integer operations. A two-stage multistage sampling procedure was employed. In the first stage, schools were stratified according to wards: Stratum 1 consisted of Wards 1 to 5, while Stratum 2 comprised Wards 6 to 11. In the second stage, one school was randomly selected from each stratum. By balloting, School A in Ward 1 was selected and assigned to the experimental group, while School B in Ward 6 was selected and assigned to the control group. Each school contributed one intact JSS II class, giving a total sample of 49 students. The experimental group consisted of 30 students (14 males and 16 females) taught directed numbers using the logic-based teaching strategy, while the control group comprised 19 students (9 males and 10 females) taught the same content using the traditional teacher-centered method. Integer Operations Achievement Test (IOAT) and Directed Numbers Teaching Instructional Guides for both logic-based and traditional teaching strategies were used as research instruments for data collection and subjected to face and content validation, while Kuder-Richardson (KR-20) formula was applied to establish reliability of IOAT yielding 0.76 as an acceptable reliability coefficient for the study. Data collection lasted for eight weeks, the process adhered to the following time schedule: Week One: Training of research assistants; Week Two: Administration of pre-test; Week Three \u2013 Seven: Implementation of the treatment; and Week Eight: Administration of post-test. Analysis of Covariance (ANCOVA) was employed for data analysis to test the hypotheses at the 0.05 level of significance.<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><br \/><\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Results: Test of Hypotheses<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">H<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\">0<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1:<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> There will be no significant main effect of gender on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state.<\/span><\/p><div dir=\"ltr\" style=\"margin-left: 0pt;\" align=\"left\"><table style=\"border: none; border-collapse: collapse;\"><colgroup><col width=\"114\" \/><col width=\"101\" \/><col width=\"70\" \/><col width=\"97\" \/><col width=\"70\" \/><col width=\"70\" \/><col width=\"101\" \/><\/colgroup><tbody><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"7\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-indent: -44.1pt; text-align: justify; margin-top: 0pt; margin-bottom: 0pt; padding: 0pt 0pt 0pt 44.1pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 1: Tests of Between-Subjects Effects of Gender on Upper Basic Students\u2019<\/span> <span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Achievement in Directed Numbers\u00a0<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"7\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Dependent Variable: \u00a0 Posttest\u00a0\u00a0<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Source<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Type III Sum of Squares<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">df<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Mean Square<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">F<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Sig.<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Partial Eta Squared<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Corrected Model<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">540.606<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">2<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">270.303<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">23.578<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.506<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Intercept<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">40.498<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">40.498<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">3.533<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.067<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.071<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Pretest<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">538.299<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">538.299<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">46.955<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.505<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Gender<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">2.197<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">2.197<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.192<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.664<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.004<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Error<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">527.353<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">46<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">11.464<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Total<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">9611.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">49<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Corrected Total<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1067.959<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">48<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"7\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">a. R Squared = 0.506 (Adjusted R Squared = 0.485)<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Source: <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Researcher\u2019s Fieldwork, 2026.<\/span><\/p><\/td><\/tr><\/tbody><\/table><b id=\"docs-internal-guid-28011be8-7fff-b87b-a175-67315a8f0201\" style=\"font-weight: normal;\"><\/b><\/div><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">From Table 1: The Analysis of Covariance (ANCOVA) result on the main effect of gender on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state was; F<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\"> (1; 46)<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> = 0.192, p &gt; 0.05, partial \u03b7\u00b2 = 0.004. The findings clearly demonstrate that the gender did not make a meaningful contribution to students\u2019 post-test performance. Therefore, there was no significant main effect of gender on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state. Since p &gt; 0.05, the difference in performance between male and female students was not statistically significant. Male and female students performed similarly when exposed to the instructional activities, suggesting that the concept of directed numbers did not favour one gender over the other in this study<\/span><b style=\"font-weight: normal;\"><\/b><\/p><div dir=\"ltr\" style=\"margin-left: 0pt;\" align=\"left\"><table style=\"border: none; border-collapse: collapse;\"><colgroup><col width=\"136\" \/><col width=\"64\" \/><col width=\"70\" \/><col width=\"67\" \/><col width=\"67\" \/><col width=\"71\" \/><col width=\"68\" \/><col width=\"80\" \/><\/colgroup><tbody><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"8\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; margin-right: 3pt; text-indent: -44.1pt; text-align: justify; margin-top: 0pt; margin-bottom: 0pt; padding: 0pt 0pt 0pt 44.1pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 2: Parameter Estimates of Gender on Upper Basic Students\u2019<\/span> <span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Achievement in Directed Numbers<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"8\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Dependent Variable: \u00a0 Posttest\u00a0\u00a0<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Parameter<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">B<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Std. Error<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">t<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Sig.<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">95% Confidence Interval<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Partial Eta Squared<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Lower Bound<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Upper Bound<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Intercept<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">3.170<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.656<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.914<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.062<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-.163<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">6.503<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.074<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Pretest<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.898<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.131<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">6.852<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.634<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.161<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.505<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">[Gender=Female]<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-0.424<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.969<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-0.438<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.664<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-2.375<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.527<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.004<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">[Gender=Male]<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"8\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">a. This parameter is set to zero because it is redundant.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Source: <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Researcher\u2019s Fieldwork, 2026.<\/span><\/p><\/td><\/tr><\/tbody><\/table><b style=\"font-weight: normal;\"><\/b><\/div><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 2: The parameter estimates provide further insight into whether gender influenced students\u2019 achievement in directed numbers after controlling for their pre-test scores. The results again show that gender did not have a meaningful effect.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">The coefficient for females (B = \u20130.424, p = 0.664) indicates that, after adjusting for pre-test performance, female students scored slightly lower than male students on the post-test. However, this difference was not statistically significant, as the p-value is much greater than the 0.05 threshold. The confidence interval (\u20132.375 to 1.527) also crosses zero, confirming that the observed difference could have occurred by chance. The partial eta squared value of 0.004 shows that gender explained less than one percent of the variance in achievement, indicating no practical influence.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">In contrast, the pre-test score had a strong and statistically significant effect on the post-test (B = 0.898, p &lt; 0.05), meaning students who performed well initially were more likely to achieve higher scores after the intervention. The intercept was not significant, showing no meaningful baseline difference after accounting for the covariate. Overall, the parameter estimates reinforce that gender did not contribute significantly to students&#8217; achievement in directed numbers. Therefore, the null hypothesis stating that gender has no significant main effect is supported.<\/span><b style=\"font-weight: normal;\"><\/b><\/p><div dir=\"ltr\" style=\"margin-left: 0pt;\" align=\"left\"><table style=\"border: none; border-collapse: collapse;\"><colgroup><col width=\"104\" \/><col width=\"114\" \/><col width=\"119\" \/><col width=\"156\" \/><col width=\"131\" \/><\/colgroup><tbody><tr style=\"height: 27pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"5\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; margin-left: -0.8999999999999986pt; text-indent: -45pt; text-align: justify; margin-top: 0pt; margin-bottom: 0pt; padding: 0pt 0pt 0pt 45pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 3: Estimated Marginal Means of Gender on Upper Basic Students\u2019 Achievement in Directed Numbers<\/span><\/p><\/td><\/tr><tr style=\"height: 10.75pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"5\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Dependent Variable: \u00a0 Posttest\u00a0\u00a0<\/span><\/p><\/td><\/tr><tr style=\"height: 10.3pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Gender<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Mean<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Std. Error<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">95% Confidence Interval<\/span><\/p><\/td><\/tr><tr style=\"height: 20.65pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Lower Bound<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Upper Bound<\/span><\/p><\/td><\/tr><tr style=\"height: 8.8pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Female<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">13.005<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.664<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">11.668<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">14.342<\/span><\/p><\/td><\/tr><tr style=\"height: 10.3pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Male<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">13.429<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.706<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">12.008<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">14.850<\/span><\/p><\/td><\/tr><tr style=\"height: 31.4pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"5\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">a. Covariates appearing in the model are evaluated at the following values: Pretest = 11.43.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Source: <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Researcher\u2019s Fieldwork, 2026.<\/span><\/p><\/td><\/tr><\/tbody><\/table><b style=\"font-weight: normal;\"><\/b><\/div><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 3: The estimated marginal means provide additional clarification on whether male and female students differed in their achievement in directed numbers after adjusting for their pre-test scores. The results show that both groups performed at a similar level.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">After controlling for the covariate (pre-test score of 11.43), male students recorded an adjusted mean score of 13.429, while their female counterparts had an adjusted mean score of 13.005. Although males appeared to have a slightly higher mean, the difference between the two groups is very small. The overlapping confidence intervals for males (12.008\u201314.850) and females (11.668\u201314.342) show clearly that the observed difference is not statistically meaningful.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">This pattern aligns with the earlier statistical tests indicating that gender did not significantly influence students\u2019 post-test achievement. The closeness of the means and the broad overlap in their confidence ranges confirm that any differences in performance between male and female students could be attributed to normal variation rather than the effect of gender. Consequently, the findings support the null hypothesis that gender has no significant main effect on upper basic students\u2019 achievement in directed numbers in Egbeda Local Government Area of Oyo State.<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><br \/><\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">H<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\">0<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">2:<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> There will be no significant interaction effect of gender and logic-based teaching strategy on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state.<\/span><\/p><div dir=\"ltr\" style=\"margin-left: 0pt;\" align=\"left\"><table style=\"border: none; border-collapse: collapse;\"><colgroup><col width=\"137\" \/><col width=\"100\" \/><col width=\"70\" \/><col width=\"96\" \/><col width=\"70\" \/><col width=\"70\" \/><col width=\"82\" \/><\/colgroup><tbody><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"7\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; margin-right: 3pt; text-indent: -44.1pt; text-align: justify; margin-top: 0pt; margin-bottom: 0pt; padding: 0pt 0pt 0pt 44.1pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 4: Tests of Between-Subjects Effects of Gender and Logic-Based Teaching Strategy on Upper Basic Students\u2019 Achievement in Directed Numbers\u00a0<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"7\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Dependent Variable: \u00a0 Posttest\u00a0\u00a0<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Source<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Type III Sum of Squares<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">df<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Mean Square<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">F<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Sig.<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Partial Eta Squared<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Corrected Model<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">569.852<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">4<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">142.463<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">12.584<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.534<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Intercept<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">41.821<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">41.821<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">3.694<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.061<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.077<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Pretest<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">451.145<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">451.145<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">39.852<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.475<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Gender x Strategy<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">31.443<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">3<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">10.481<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.926<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.436<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.059<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Error<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">498.107<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">44<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">11.321<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Total<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">9611.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">49<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Corrected Total<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1067.959<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">48<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\">\u00a0<\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"7\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">a. R Squared = 0.534 (Adjusted R Squared = 0.491)<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Source: <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Researcher\u2019s Fieldwork, 2026.<\/span><\/p><\/td><\/tr><\/tbody><\/table><b style=\"font-weight: normal;\"><\/b><\/div><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">From Table 4: The Analysis of Covariance (ANCOVA) result on the interaction effect of gender and logic-based teaching strategy on upper basic students\u2019 achievement in directed numbers in Egbeda local government area, Oyo state was; F<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\"> (3; 44)<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> = 0.926, p &gt; 0.05, partial \u03b7\u00b2 = 0.059. This indicates that the difference in performance between the experimental and control groups did not vary in any meaningful way between male and female students. In other words, the teaching strategy did not advantage or disadvantage one gender over the other. The partial eta squared value of 0.059 further confirms that the proportion of variance explained by the interaction is very small and practically negligible. Therefore, there was no significant interaction effect of gender and logic-based teaching strategy on upper basic students\u2019 achievement in directed numbers in Egbeda Local Government Area of Oyo State. This suggests that both male and female responded similarly to the instructional approaches used in the study.<\/span><b style=\"font-weight: normal;\"><\/b><\/p><div dir=\"ltr\" style=\"margin-left: 0pt;\" align=\"left\"><table style=\"border: none; border-collapse: collapse;\"><colgroup><col width=\"144\" \/><col width=\"60\" \/><col width=\"63\" \/><col width=\"60\" \/><col width=\"60\" \/><col width=\"83\" \/><col width=\"83\" \/><col width=\"71\" \/><\/colgroup><tbody><tr style=\"height: 24.05pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"8\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-indent: -45pt; text-align: justify; padding: 0pt 0pt 0pt 45pt; margin: 0pt 3pt 0pt -0.8999999999999986pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 5: Parameter Estimates of Gender and Logic-Based Teaching Strategy on Upper Basic Students\u2019<\/span> <span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Achievement in Directed Numbers<\/span><\/p><\/td><\/tr><tr style=\"height: 11.7pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"8\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Dependent Variable: \u00a0 Posttest\u00a0\u00a0<\/span><\/p><\/td><\/tr><tr style=\"height: 11.7pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Parameter<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">B<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Std. Error<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">t<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Sig.<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">95% Confidence Interval<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Partial Eta Squared<\/span><\/p><\/td><\/tr><tr style=\"height: 24.05pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Lower Bound<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Upper Bound<\/span><\/p><\/td><\/tr><tr style=\"height: 11.7pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Intercept<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">3.734<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.724<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">2.166<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.036<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">.259<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">7.209<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.096<\/span><\/p><\/td><\/tr><tr style=\"height: 12.35pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Pretest<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.875<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.139<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">6.313<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">.596<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.155<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.475<\/span><\/p><\/td><\/tr><tr style=\"height: 35.8pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">[Strategy=Logic-based Teaching Strategy] x [Gender=Female]<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.091<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.450<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.063<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.950<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-2.832<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">3.014<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><\/tr><tr style=\"height: 35.8pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">[Strategy=Logic-based Teaching Strategy] x [Gender=Male]<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-0.505<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.507<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-0.335<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.739<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-3.543<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">2.533<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.003<\/span><\/p><\/td><\/tr><tr style=\"height: 35.8pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">[Strategy=Traditional Teaching Strategy] x [Gender=Female]<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-2.049<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.550<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-1.321<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.193<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">-5.174<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.076<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.038<\/span><\/p><\/td><\/tr><tr style=\"height: 35.8pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">[Strategy=Traditional Teaching Strategy] x [Gender=Male]<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.000<\/span><\/p><\/td><\/tr><tr style=\"height: 35.8pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"8\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">a. This parameter is set to zero because it is redundant.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Source: <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Researcher\u2019s Fieldwork, 2026.<\/span><\/p><\/td><\/tr><\/tbody><\/table><b style=\"font-weight: normal;\"><\/b><\/div><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 5: The parameter estimates from the ANCOVA model help to determine whether gender, in combination with the teaching strategy, contributed meaningfully to posttest performance when the influence of students\u2019 pretest scores is taken into account.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">The results show that the pretest score made a strong and statistically significant contribution to the posttest achievement (B = 0.875, p &lt; 0.05). This indicates that students who performed well initially were more likely to perform well after the intervention, regardless of their gender or the strategy used. This pattern suggests that prior knowledge remained a powerful predictor of learning outcomes in Directed Numbers.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Concerning the interaction between gender and teaching strategy, the findings demonstrate that none of the interaction terms were statistically significant. The coefficient for female students exposed to the logic-based teaching strategy (B = 0.091, p = 0.950) shows no meaningful advantage or disadvantage when compared with the reference group. Similarly, the interaction effect for male students under the logic-based strategy (B = \u20130.505, p = 0.739) was also not significant. The wide confidence intervals and extremely small partial eta squared values further confirm that these effects were trivial and did not meaningfully influence achievement.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">The interaction effects for students taught with the traditional teaching strategy follow the same pattern. The estimate for female students (B = \u20132.049, p = 0.193) did not reach statistical significance, indicating that their performance was not significantly different from that of male students in the traditional strategy group, which served as the reference category. Again, the effect size was very small, suggesting minimal practical impact.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Taken together, the insignificant interaction terms indicate that gender did not modify the effect of either the logic-based or traditional teaching strategy on students\u2019 achievement in directed numbers. In other words, male and female benefited similarly from each teaching approach. Therefore, based on the evidence presented in the parameter estimates, the findings support the null hypothesis that there was no significant interaction effect of gender and logic-based teaching strategy on upper basic students\u2019 achievement in directed numbers in Egbeda Local Government Area of Oyo State. This implies that differences in achievement were not jointly determined by the students\u2019 gender and the type of teaching strategy used.<\/span><b style=\"font-weight: normal;\"><\/b><\/p><div dir=\"ltr\" style=\"margin-left: 0pt;\" align=\"left\"><table style=\"border: none; border-collapse: collapse;\"><colgroup><col width=\"81\" \/><col width=\"180\" \/><col width=\"75\" \/><col width=\"78\" \/><col width=\"104\" \/><col width=\"104\" \/><\/colgroup><tbody><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"6\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-indent: -45pt; text-align: justify; padding: 0pt 0pt 0pt 45pt; margin: 0pt 3pt 0pt -0.8999999999999986pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 6: Estimated Marginal Means of Gender and Logic-Based Teaching Strategy on Upper Basic Students\u2019<\/span> <span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Achievement in Directed Numbers<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"6\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Dependent Variable: \u00a0 Posttest\u00a0\u00a0<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Gender<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Strategy<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Mean<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Std. Error<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">95% Confidence Interval<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Lower Bound<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Upper Bound<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Female<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Logic-based Teaching Strategy<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">13.828<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.847<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">12.122<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">15.534<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Traditional Teaching Strategy<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">11.688<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.075<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">9.520<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">13.855<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" rowspan=\"2\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Male<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Logic-based Teaching Strategy<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">13.232<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">0.917<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">11.384<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">15.079<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Traditional Teaching Strategy<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">13.737<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: super;\">a<\/span><\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">1.155<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">11.409<\/span><\/p><\/td><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">16.064<\/span><\/p><\/td><\/tr><tr style=\"height: 0pt;\"><td style=\"vertical-align: top; padding: 0pt 5.4pt 0pt 5.4pt; overflow: hidden; overflow-wrap: break-word; border: solid #000000 0.5pt;\" colspan=\"6\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">a. Covariates appearing in the model are evaluated at the following values: Pretest = 11.43.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin: 0pt 3pt 0pt 3pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Source: <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Researcher\u2019s Fieldwork, 2026.<\/span><\/p><\/td><\/tr><\/tbody><\/table><b style=\"font-weight: normal;\"><\/b><\/div><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Table 6: The interaction between gender and teaching strategy was analyzed to determine whether male and female students performed differently under the logic-based teaching strategy and the traditional teaching strategy after controlling for their pretest scores. The adjusted means offer a clear picture of how each group responded to the two instructional approaches.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Under the logic-based teaching strategy, female students recorded an adjusted mean score of 13.83 (95% CI: 12.12\u201315.53), while male students had a mean of 13.23 (95% CI: 11.38\u201315.08). Although females performed slightly better, the difference of 0.60 was very small. When expressed as a Relative Percentage Gender Gap, this amounted to approximately 4.54%, indicating that gender differences under the logic-based strategy were minimal. This suggests that the logic-based strategy offered a balanced learning environment where both male and female students benefited almost equally.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">In contrast, the traditional teaching strategy showed a wider performance gap. Female students obtained an adjusted mean score of 11.69 (95% CI: 9.52\u201313.86), whereas male students achieved a higher mean of 13.74 (95% CI: 11.41\u201316.06). The mean difference of 2.05 translated into a Relative Percentage Gender Gap of about 14.93%, representing the largest disparity between genders across the two strategies. This indicates that the traditional strategy advantaged male students more than their female counterparts.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">A comparison across the two strategies shows that male students performed better than female students particularly under the traditional strategy, where the gender gap was widest. However, the logic-based strategy significantly narrowed this gap, pointing to a more equitable teaching approach. Thus, the logic-based strategy appeared to support more balanced achievement between male and female students, whereas the traditional strategy widened gender differences.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Despite these observable differences, the statistical test of interaction showed that the combined effect of gender and teaching strategy on students\u2019 achievement in directed numbers was not significant. The Gender \u00d7 Strategy interaction yielded F<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><span style=\"font-size: 0.6em; vertical-align: sub;\"> (3; 44)<\/span><\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> = 0.926 with p &gt; 0.05, indicating that the variations in performance between male and female students across the two strategies were not strong enough to reach statistical significance. Overall, while the logic-based strategy produced more balanced outcomes and the traditional strategy showed a larger gender gap, these differences did not translate into a statistically meaningful interaction. This means that, although males and females showed slight variations in performance under different strategies, these variations were not substantial enough to conclude that gender and teaching strategy jointly influenced achievement in directed numbers.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Discussion of Findings<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">There was no significant main effect of gender on upper basic students\u2019 achievement in directed numbers in Egbeda Local Government Area, Oyo State. Although male students had a slightly higher adjusted mean score than their female counterparts, this difference was minimal and statistically insignificant. This outcome indicates that, when provided with similar learning opportunities and exposed to the same instructional intervention, both male and female students demonstrated comparable levels of understanding and performance in directed numbers.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">This outcome supports the inclusive focus of the logic-based instructional model, which is designed to present integer operations in a structured and accessible manner that benefits learners irrespective of gender. It also aligns with contemporary research suggesting that when instructional strategies are clear, visual, and conceptually grounded, gender-related performance gaps in Mathematics tend to diminish (Raheem et al., 2025). Thus, the similarity in performance between male and female students strengthens the argument for adopting inclusive, reasoning-oriented pedagogies such as truth tables and logical coding, which emphasize understanding rather than rote procedures.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">This finding aligns with broader patterns observed in several recent studies examining gender differences in Mathematics -related learning outcomes. For instance, Harun et al. (2024) reported no significant difference in students\u2019 mastery levels of integer operations based on gender following instructional intervention. Despite improvements in overall mastery after intervention, both male and female learners benefitted equally, demonstrating that effective instructional strategies help level the learning field across genders. Similarly, Cahyadi et al. (2023) found no gender-based discrepancies in students\u2019 use of pattern-finding strategies in solving mathematical problems. Both male and female students showed comparable abilities to identify and apply patterns, reinforcing the view that mathematical reasoning and strategy use are not inherently gender-dependent.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Furthermore, Norhaslina et al. (2025) concluded that gender did not moderate students\u2019 performance when problem-based learning was used to enhance mathematical problem-solving skills. The PBL approach improved learners\u2019 outcomes regardless of gender, supporting the present study\u2019s result that when instructional methods are engaging, structured, and learner-centred, the influence of gender becomes insignificant.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">This outcome differs from the findings of Adewale et al. (2025), who reported a significant main effect of gender and a notable interaction between gender and instructional strategy in upper basic students\u2019 achievement in basic operations. The disparity between the two studies may be attributed to differences in instructional emphasis and learning context. While the problem-solving approach actively engages learners in applying mathematical concepts through structured tasks, the logic-based strategy employed in the present study emphasizes conceptual reasoning and symbolic representation, which may minimize gender-based performance differences by providing equal cognitive access to mathematical ideas.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Directed numbers involve rule-based operations that, when taught through structured and logical representations, may reduce reliance on prior experiences or intuitive strategies that sometimes favour one gender over the other. The absence of significant gender differences in this study suggests that the logic-based teaching strategy offers an equitable learning environment where both male and female students can engage with mathematical concepts on similar terms. This aligns with the goal of inclusive Mathematics instruction, which seeks to ensure that learning opportunities and outcomes are not determined by gender.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">There was also no significant interaction effect of gender and logic-based teaching strategy on upper basic students\u2019 achievement in directed numbers in Egbeda Local Government Area of Oyo State. Although descriptive results indicated slight variations such as females performing marginally better than males under the logic-based strategy and males outperforming females under the traditional strategy; these differences did not amount to a statistically meaningful interaction effect. In essence, neither strategy created a unique advantage nor disadvantage for any gender when prior knowledge was taken into account. This finding reinforces the conclusion that logic-based instructional practices such as truth tables and coding frameworks provide equitable learning opportunities for all students by minimizing variability associated with gender (Raheem et al., 2025). The absence of interaction effects suggests that both male and female learners responded similarly to the structure, clarity, and inclusiveness of the logic-based method.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">This outcome corresponds with growing evidence in Mathematics education that gender alone does not determine how students respond to instructional strategies, especially when the teaching approach is structured, scaffolded, and concept-focused. For example, Anggraeni et al. (2025) showed that well-designed instructional supports for integer operations raised achievement for both male and female learners without significant gender disparities. Similarly, Harun et al. (2024) reported no significant gender differences in mastery levels after intervention, reinforcing the idea that conceptual support benefits learners equally.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">The absence of an interaction effect in the present study also aligns with findings from meta-analytical research on the use of manipulatives in teaching integers. Lacaba (2025) reported that manipulative-based instruction produced substantial improvements in students\u2019 understanding of integer operations regardless of gender. Such techniques help reduce misconceptions related to negative signs, operations involving two negatives, and symbolic interpretation; difficulties that commonly affect learners across genders. Additional support for this result comes from studies examining mastery levels and conceptual understanding of integer operations. Research has shown that learning difficulties such as misinterpreting integer symbols, confusing addition and subtraction rules, or misusing representations occur across genders rather than being gender-specific (Harun et al., 2024). For instance, Toxtle-Colotl et al. (2025) revealed that students\u2019 difficulties with representations and properties of integers cut across both male and female learners. Similarly, Owusu et al. (2023) concluded that errors in integer operations among pre-service teachers stemmed primarily from conceptual misunderstandings rather than gender-related reasoning differences. Studies on mathematical reasoning and strategy use further reinforce the conclusion that gender does not significantly moderate instructional effects. Cahyadi et al. (2023) found no meaningful gender differences in students\u2019 abilities to identify and apply patterns in problem solving, while Norhaslina et al. (2025) reported equal benefits for both genders under problem-based learning. Even in studies where slight gender-related tendencies were observed, Abdussakir et al. (2024) noted that such differences were inconsistent and insufficient to predict performance across mathematical domains.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Overall, the findings of the present study mirror these broader trends in Mathematics education research. The logic-based strategy produced a more balanced performance between male and female students, narrowing the gender gap substantially. In contrast, the traditional strategy showed wider but statistically insignificant differences. Although observable patterns existed, statistical analysis confirmed that the combined influence of gender and instructional strategy did not significantly predict achievement in directed numbers.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">This outcome contrasts with Adewale et al. (2025), who reported a significant interaction between gender and instructional strategy in favour of male students. The difference between the two studies may be explained by the nature of the instructional approaches employed. While problem-solving techniques emphasize multi-step reasoning and procedural decision-making, the logic-based strategy emphasizes structured rules, symbolic consistency, and clear operational patterns that may be uniformly accessible to both male and female learners.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Taken together, the absence of a significant interaction effect in the present study suggests that the logic-based teaching strategy promotes a more inclusive learning environment by minimizing gender-related differentials in achievement. By focusing on logical relationships and systematic representation of directed numbers, the strategy reduces dependence on intuitive guessing or trial-and-error approaches that can sometimes accentuate gender disparities. Consequently, both male and female students benefitted from the instructional method without one group gaining a distinct advantage over the other.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Conclusion<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">\u00a0<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Based on the findings of this study, it was concluded that neither the gender nor logic-based teaching strategy independently or jointly produced a significant effect on students\u2019 achievement in directed numbers among upper basic students in Egbeda Local Government Area of Oyo State. Although gender-related variations were observed: under the logic-based strategy, female and male students performed almost equally with only a very small gap while the Traditional Strategy produced a wider disparity, favoring male students. Notably, the logic-based strategy substantially narrowed the gender gap, whereas the traditional strategy widened it; however, these differences, though visible descriptively, were not strong enough to be statistically meaningful. Ultimately, students\u2019 achievement in directed numbers remained largely unaffected by the gender or instructional strategy used, suggesting that other factors beyond teaching approach and gender may play a more influential role in shaping students\u2019 learning outcomes in this mathematical concept.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Recommendations<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Based on the findings of this study, the following recommendations were made:<\/span><\/p><ol style=\"margin-top: 0; margin-bottom: 0; padding-inline-start: 48px;\"><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Mathematics teachers should adopt inclusive and gender-neutral classroom practices, as gender was not found to significantly influence students\u2019 achievement in directed numbers.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Logic-based and learner-centered instructional strategies should be integrated alongside existing teaching methods to support conceptual understanding and promote equity in Mathematics learning.<\/span><\/p><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0c8b7dc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0c8b7dc\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ac457cd\" data-id=\"ac457cd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-79969f3 elementor-widget elementor-widget-heading\" data-id=\"79969f3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h6 class=\"elementor-heading-title elementor-size-default\">Statements &amp; Declarations\n<\/h6>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aabf763 elementor-widget elementor-widget-text-editor\" data-id=\"aabf763\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><strong>Peer-Review Method:<\/strong> This article has been published following a double-blind peer-review process by two external reviewers specializing in Mathematics Education and Pedagogical Research.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><strong>Competing Interests:<\/strong> The authors, Tunde Rasheed Raheem and Christianah Olajumoke Sam-Kayode, declare that they have no competing interests, financial or otherwise, that could have influenced the research or the integrity of the manuscript.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><strong>Funding:<\/strong> This study was conducted independently and received no specific grant or financial support from any funding agency in the public, commercial, or not-for-profit sectors.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><strong>Data Availability:<\/strong> The statistical data and research instruments used to assess student achievement in directed numbers are available within the manuscript. Any additional raw data or specific SPSS output files are available from the corresponding author upon reasonable request.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><strong>Ethical Approval:<\/strong> The study was conducted in accordance with the ethical research guidelines of Lead City University, Ibadan. Permission was obtained from the relevant secondary school authorities in Egbeda, Oyo State, and informed consent was secured from the participating students and their guardians prior to data collection.<\/span><\/p><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 10pt;\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"><strong>License:<\/strong> &#8220;Advancing Inclusive Mathematics Education through Logic-Based Instruction: Gender Perspectives on Upper Basic Students\u2019 Achievement in Directed Numbers in Egbeda, Oyo State&#8221; \u00a9 2026 by Tunde Rasheed Raheem and Christianah Olajumoke Sam-Kayode is licensed under CC BY 4.0. This work is published by the International Council for Education Research and Training (ICERT).<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-af78695 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"af78695\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0c28199\" data-id=\"0c28199\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-49f771d elementor-widget elementor-widget-heading\" data-id=\"49f771d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h6 class=\"elementor-heading-title elementor-size-default\">References<\/h6>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b4a7f0c elementor-widget elementor-widget-text-editor\" data-id=\"b4a7f0c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ol style=\"margin-top: 0; margin-bottom: 0; padding-inline-start: 48px;\"><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Abdussakir, A., Chabibah, R., Yahya, F. 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Between gender and academic achievement: Creative thinking in Mathematics problem solving among junior high school students. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Beta: Jurnal Tadris Matematika<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 17(2), 205\u2013222.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Adewale, O. 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University of Education, Winneba.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Anggraeni, F., Andayani, S., &amp; Rahmawati, D. (2025). Analysis of students\u2019 mastery levels in using integer operations in elementary school Mathematics learning. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">International Journal of Multidisciplinary Research of Higher Education (IJMURHICA)<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 8(1), 1\u201313.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Cahyadi, M. 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Analysis of skills using pattern-finding strategies in solving mathematical problems in view of gender differences. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Delta-Phi: Jurnal Pendidikan Matematika<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 1(1), 12\u201322.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Gyampoh, S. 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Improving the performance of basic school pupils in addition and subtraction of integers using rectangular cut-out number line: A case of a Ghanaian basic school. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">IOSR Journal of Mathematics (IOSR-JM)<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 16(3), 21\u201328.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Harun, N. 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Impact of intervention on students\u2019 mastery level and analysis of misconceptions in operations on integers. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">International Journal of Multidisciplinary: Applied Business and Education Research,<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\"> 5(2), 411\u2013422.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Ikyanyi, M. 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Effect of Polya\u2019s problem-solving approach on upper basic education students\u2019 attitude towards algebra in Makurdi Metropolis, Benue State, Nigeria. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Village Math Educational Review<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 5(1), 40\u201353.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Jangde, S., &amp; Ahmad, M. A. (2025). Integrating Sustainability into Equal Education Opportunities. In Environmental Landscape and Sustainable Biodiversity for Healthy Green Growth (pp. 97-103). Cham: Springer Nature Switzerland.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Kwakye, D. O., Alphaa, M. A., Agyei, E., Larbi, E. A., Anane, J. K., &amp; Domonaamwin, B. C. (2022). Complete integers: Integers and its applications (Vol. 1). White Falcon.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Lacaba, K. G. (2025). Manipulatives in teaching and learning integers: A meta-analysis. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">EIKI Journal of Effective Teaching Methods<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 3(2), 149\u2013157.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Norhaslina, N., Oktafia, M., &amp; Noperta, N. (2025). Exploring the effectiveness of problem-based learning on mathematical problem-solving: A gender perspective. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Journal of Authentic Research on Mathematics Education<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 7(1), 1\u201310.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Owusu, A., Bornaa, C., Kwakye, D., &amp; Iddrisu, A. (2023). Pre-service Mathematics teachers\u2019 errors and misconceptions of integer operations. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Journal of Statistics and Mathematical Concepts<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 1(2), 1\u201319.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Oyo State Universal Basic Education Board. (2025). 2024\/2025 number of public junior secondary schools in Egbeda Local Government Area, Ibadan and their respective JSS II enrolments. Oyo State SUBEB.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Phalguni, S., Saniya, M., Akshay, G., Vinay, B., &amp; Pranavraj, G. (2023). Truth table generator. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">International Research Journal of Engineering and Technology (IRJET)<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 10(1), 394\u2013397.<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Raheem, T. R., Adewale, O. E., &amp; Sam-Kayode, C. O. (2025). Promoting inclusive Mathematics instruction through logical truth tables and coding in integer operations. In Proceedings of the 2nd Postgraduate College International Multidisciplinary Conference. Lead City University.\u00a0<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Rosyidah, A. N. K., Jiwandono, M. I. S., Oktaviyanti, I. S., &amp; Gunawan, G. I. (2021). Misconceptions and errors in integer operations: A study in preservice elementary school teachers (PGSD). Journal of Physics: Conference Series, 1779(1), 012078. https:\/\/doi.org\/10.1088\/1742-6596\/1779\/1\/012078<\/span><\/p><\/li><li dir=\"ltr\" style=\"list-style-type: decimal; font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: -18pt;\" aria-level=\"1\"><p dir=\"ltr\" style=\"line-height: 1.7999999999999998; text-align: justify; margin-top: 0pt; margin-bottom: 0pt;\" role=\"presentation\"><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">Toxtle-Colotl, A., Nieto-Ruiz, E., &amp; Ju\u00e1rez-L\u00f3pez, J. A. (2025). Multidimensional analysis of conceptual understanding of integer addition and subtraction. <\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">International Journal of Educational Methodology<\/span><span style=\"font-size: 12pt; font-family: Arial,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;\">, 11(1), 97\u2013112.<\/span><\/p><\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fae7f60 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fae7f60\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-2812b57\" data-id=\"2812b57\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-a528e2f\" data-id=\"a528e2f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ab43664 elementor-widget elementor-widget-elementskit-social-share\" data-id=\"ab43664\" data-element_type=\"widget\" data-widget_type=\"elementskit-social-share.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"ekit-wid-con\" >\t\t<ul class=\"ekit_socialshare\">\n                            <li class=\"elementor-repeater-item-db288b3\" data-social=\"facebook\">\n                    <div class=\"facebook\">\n                        \n                        <i aria-hidden=\"true\" class=\"icon icon-facebook\"><\/i>                        \n                                                                                            <\/div>\n                <\/li>\n                                            <li class=\"elementor-repeater-item-8c1acc4\" data-social=\"whatsapp\">\n                    <div class=\"whatsapp\">\n                        \n                        <i aria-hidden=\"true\" class=\"icon icon-whatsapp-1\"><\/i>                        \n                                                                                            <\/div>\n                <\/li>\n                                            <li class=\"elementor-repeater-item-a0e5dae\" data-social=\"linkedin\">\n                    <div class=\"linkedin\">\n                        \n                        <i aria-hidden=\"true\" class=\"icon icon-linkedin\"><\/i>                        \n                                                                                            <\/div>\n                <\/li>\n                                    <\/ul>\n        <\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ece495c\" data-id=\"ece495c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4bdaa79 elementor-align-right elementor-widget elementor-widget-button\" data-id=\"4bdaa79\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/icert.org.in\/index.php\/shodh-sari-2\/shodh-sari-vol5-issue-1\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Back<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Shodh Sari-An International Multidisciplinary Journal Vol-05, Issue-02(Apr &#8211; Jun 2026) An International scholarly\/ academic journal, peer-reviewed\/ refereed journal, ISSN : 2959-1376 Advancing Inclusive Mathematics Education through Logic-Based Instruction: Gender Perspectives on Upper Basic Students\u2019 Achievement in Directed Numbers in Egbeda, Oyo State Raheem, Tunde Rasheed1 and Sam-Kayode, Christianah Olajumoke2 \u00a01Department of Computer Science (Mathematics Unit), [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"_acf_changed":false,"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-30861","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/icert.org.in\/index.php\/wp-json\/wp\/v2\/pages\/30861","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/icert.org.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/icert.org.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/icert.org.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/icert.org.in\/index.php\/wp-json\/wp\/v2\/comments?post=30861"}],"version-history":[{"count":37,"href":"https:\/\/icert.org.in\/index.php\/wp-json\/wp\/v2\/pages\/30861\/revisions"}],"predecessor-version":[{"id":31255,"href":"https:\/\/icert.org.in\/index.php\/wp-json\/wp\/v2\/pages\/30861\/revisions\/31255"}],"wp:attachment":[{"href":"https:\/\/icert.org.in\/index.php\/wp-json\/wp\/v2\/media?parent=30861"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}