HomePsychology and Education: A Multidisciplinary Journalvol. 40 no. 7 (2025)

Antecedents of Foundational Skills in Mathematics among Junior High School Students of the Sangkad Ka Municipality: A Comparative Study for Intervention and Curriculum Enhancement

Tata Abdullah Sali | Janet Rabut

Discipline: Education

 

Abstract:

This study assessed the basic mathematics skills of Grade 7 students in the Sangkad Ka Municipality, focusing on six key areas: conceptual understanding, procedural fluency, problem-solving, mathematical reasoning, mathematical communication, and spatial reasoning. Using a descriptive-correlational research design, it involved students from four government-assisted high schools: Datu Abdula Camino Memorial NHS, Datu Sailila NHS, Kaya Kaya NHS, and Saga A. Nangkong NHS. Diagnostic and statistical tools, including t-tests and ANOVA, were used to analyze skill levels across age, gender, and school affiliation. Results showed that students generally performed at the Basic level across all domains, with Conceptual Understanding ranking highest. However, Procedural Fluency and ProblemSolving skills need improvement. Age and school affiliation significantly affected performance, while gender did not. The study recommends targeted interventions such as differentiated instruction, experiential learning, curriculum enhancements, and teacher training programs to help improve foundational math skills, particularly in rural and underperforming schools.



References:

  1. Abubakar, R. B., & Oguguo, O. D. (2011). Age and gender as predictors of academic achievement of college mathematics and science students. Journal of Educational and Social Research, 1(2), 89-93.
  2. Admin. (2023). Mathematical Reasoning (Definition, Statements, and Types). BYJUS. https://byjus.com/maths/statements-in-mathematicalreasoning/#:~:text=What%20is%20Mathematical%20Reasoning%3F,easy%20and%20fun%20to%20solve.
  3. Almerino, P. M., Ocampo, L. A., Abellana, D. P. M., Almerino, J. G. F., Mamites, I. O., Pinili, L. C., Tenerife, J. J. L., Sitoy, R. E., Abelgas, L. J., & Peteros, E. D. (2020). Evaluating the academic performance of K-12 students in the Philippines: A standardized evaluation approach. Education Research International, 1-8. https://doi.org/10.1155/2020/8877712
  4. Almond, Neil. (2022). Fluency, Reasoning and Problem Solving: What This Looks Like in Every Maths Lesson. https://thirdspacelearning.com/
  5. Alova, C. A. R. (2019). Attitude towards Mathematics in relation to the academic performance of Grade 11 students. https://doi.org/10.13140/RG.2.2.13569.99680Philippine Social Science Journal Volume 7. Number 2 April-June 2024 115
  6. Ang Karugasik (2016). The Official Research Publication of the Sultan Kudarat State University Graduate School. Zion Accuprint. Publishing, Inc. Vol.2. ISSN 0118-6956.
  7. Anthony, G.; Walshaw, M. (2007). “Effective pedagogy in mathematics: Best evidence synthesis iteration [BES].” Wellington: Ministry of Education.
  8. Antonio, A. M. & Baduria, E. A. (2022). Performance in General Mathematics of Grade 11 students of Sta. Cruz South High School using modular learning approach. International Journal of Innovative Science and Research Technology. https://ijisrt.com/assets/upload/files/IJISRT22MAY1020.pdf
  9. Atanasova-Pacemska, T., Lazarova, L., Arsov, J., Pacemska, S., Trifunov, Z., & Kovacheva, T. (2015). Attitude of secondary students towards mathematics and its relationship to achievement in mathematics. In Proceeding from the International Conference on Information Technology and Development of Education–ITRO, June 2015. Zrenjanin, Republic of Serbia, 7, 109-114. Technical Faculty” Mihajlo Pupin.” Retrieved from http://bit.ly/2W2qT89
  10. Ayob, A., & Yasin, R. M. (2017). Factors affecting attitudes towards mathematics. International Journal of Academic Research in Business and Social Sciences, 7(11), 1100-1109. https://doi.org/10.6007/IJARBSS/v7-i11/3548
  11. Baraquia, L. (2019). Metacognitive and computation skills: Predicting students’ performance in Mathematics. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4832690
  12. Bernardo, Allan B. I. 2021. Socioeconomic status moderates the relationship between growth mindset and learning in mathematics and science: Evidence from PISA 2018 Philippine data. International Journal of School & Educational Psychology 9: 208–22. [Google Scholar]
  13. Boaler, J. (2016). Mathematical Mindsets: Unleashing Students’ Potential through Creative Math, Inspiring Messages and Innovative Teaching. Jossey-Bass.
  14. Boaler, J. (2016). Mathematical Mindsets: Unleashing Students’ Potential through Creative Math, Inspiring Messages and Innovative Teaching. PB Printing.
  15. Brookhart, S. M. (2013). How to Create and Use Rubrics for Formative Assessment and Grading. ASCD.
  16. Brussoni, M., Gray, C., Brillant, M., & Hinkley, T. (2012). The Role of Play in Promoting Healthy Child Development and Maintaining Strong Parent-Child Bonds. Pediatrics, 129(1), e205-e216. doi:10.1542/peds.2011-2953
  17. Bulos, F. B. (2021). Mathematics Vocabulary and Mathematical Ability of Grade 7 Students.
  18. Cai, J. (2000). Mathematical thinking involved in US and Chinese students’ solving process-constrained and process-open problems. Mathematical Thinking and Learning, 2, 309–340.
  19. Cai, J., & Wang, T. (2010). Conceptions of effective mathematics teaching within a cultural context: Perspectives of teachers from China and the United States. Journal of Mathematics Teacher Education, 13(3), 265–287.
  20. Canonizado, M. (2021). Research Sampling Techniques and Methods. Quezon City: Education Press.
  21. Chen, M. H., Lan, W. H., Bai, Y. M., Huang, K. L., Su, T. P., Tsai, S. J., ... Hsu, J. W. (2016). Influence of relative age on diagnosis and treatment of attention-deficit hyperactivity disorder in Taiwanese children. The Journal Of Pediatrics, 172, 162-167. doi: https://doi.org/10.1016/j.jpeds.2016.02.012
  22. Chick, H. L. (2003). ‘Pre-service teachers’ explanations of two mathematical concepts’ Proceedings of the 2003 Conference, Australian Association for Research in Education. From: http://www.aare.edu.au/03pap/chi03413.pdf
  23. Chu, F. W., vanMarle, K., Rouder, J., & Geary, D. C. (2018). Children’s early understanding of number predicts their later problem-solving sophistication in addition. Journal of Experimental Child Psychology, 169, 73–92. https://doi.org/10.1016/j.jecp.2017.12.010
  24. Cohen, L., Manion, L., & Morrison, K. (2018). Research Methods in Education (8th ed.). Routledge.
  25. Cresswell, C., & Speelman, C.  P. (2020).  Does mathematics training lead to better logical thinking and reasoning?  A cross-sectional assessment from students to professors. PloS one, 15(7), e0236153.
  26. Gálvez, Suarez, E., & Milla Toro, R.  (2018). Teaching Performance Evaluation Model:  Preparation for Student Learning within the Framework for Teacher Good Performance. Journal of Educational Psychology-Propositos y Representaciones, 6(2), 431-452.
  27. Ginsburg, H. P. (2006). Mathematical Play and Playful Mathematics: A Guide for Early Education. In D. G. Singer, R. M. Golinkoff, & K. Hirsh-Pasek (Eds.), Play = learning: How play motivates and enhances children’s cognitive and social-emotional growth (pp. 145–165). Oxford University Press. https://doi.org/10.1093/acprof:oso/9780195304381.003.0008
  28. Google Maps (2024). Map of Datu Abdullah Sangki, Showing Brgy Kaya-Kaya and Brgy Dimampao. In https://www.google.com/maps/place/Datu+Abdullah+Sangki,+Maguindanao/@6.8360756,124.4772143,13.42z/data=!4m6!3m5!1s0x32f876317f189973:0x39444c87ade1708a!8m2!3d6.8059674!4d124.5306837!16zL20vMDZuOXZz?entry=ttu&g_ep=EgoyMDI0MDkxMS4wIKXMDSoASAFQAw%3D%3D
  29. Gopal, R., Singh, V., & Aggarwal, A. (2021). Impact of online classes on the satisfaction and performance of students during the pandemic period of COVID 19. Education and Information Technologies, 26(6), 6923-6947.
  30. Guan, Dandan. 2017. Gender Differences in Mathematics Performance in Middle Schools in China Based on PISA 2009, 2012 and 2015 tests). Journal of Mathematics (china) 56 (9): 47–51.
  31. Herbert, S. (2021). Overcoming challenges in assessing mathematical reasoning. Australian Journal of Teacher Education (Online), 46(8), 17-30.
  32. Hjelte, A., Schindler, M., & Nilsson, P. (2020). Kinds of mathematical reasoning addressed in empirical research in mathematics education: A systematic review. Education sciences, 10(10), 289.
  33. Igarashi, T., & Suryadarma, D. (2023). Foundational Mathematics and reading skills of Filipino students over a generation. International Journal of Educational Development, 96, 102688. https://doi.org/10.1016/j.ijedudev.2022.102688
  34. Igarashi, T., Tenazas,Nicholas M. & Acosta,Pablo Ariel. (2019). Unlocking the Potential of the Bangsamoro People through the Alternative Learning System: Overview (English). Philippines education notes Washington, D.C.: World Bank Group. http://documents.worldbank.org/curated/en/374511572968288550/Unlocking-the-Potential-of-the-Bangsamoro-People-through-the-Alternative-Learning-System-Overview
  35. Jaudinez, A. S. (2019). Teaching senior high school Mathematics: Problems and interventions. Pedagogical Research, 4(2). https://eric.ed.gov/?id=EJ1244238
  36. Johnson, B., & Christensen, L. (2017). Educational Research: Quantitative, Qualitative, and Mixed Approaches. Sage Publications.
  37. Karjanto, N. (2017). Attitude toward mathematics among the students at Nazarbayev University Foundation Year Programme. International Journal of Mathematical Education in Science and Technology, 48(6), 849-863. https://doi.org/10.1080/0020739X.2017.1285060
  38. Kaur, A., & Pathania, R. (2015). Study habits and academic performance among late adolescents. Studies on Home and Community Science, 9(1), 33-35. https://doi.org/10.1080/09737189.2015.11885430
  39. Kent, L. (2017). Examining mathematics classroom interactions: Elevating student roles in teaching and learning. International Journal of Educational Methodology, 3(2), 93-102. https://doi.org/10.12973/ijem.3.2.93
  40. Kilpatrick, J., Swafford, J., & Findell, B. (2001). Adding It Up: Helping Children Learn Mathematics. National Academy Press.
  41. Kumar, V., & Preedy, V. R. (2021). Handbook of Research Methods in Health Social Sciences. Springer.
  42. Lavy, Victor, and E. Sand. (2018). On the origins of Gender Human Capital Gaps: Short-and Long-Term Consequences of Teachers’ Stereotypical Biases. Journal of Public Economics 167 (2): 263–279.
  43. Lazarides, R., Buchholz, J., & Rubach, C. (2018). Teacher enthusiasm and self-efficacy, student-perceived mastery goal orientation, and student motivation in mathematics classrooms. Teaching and Teacher Education, 69, 1–10. https://doi.org/10.1016/j.tate. 2017.08.017.
  44. Mamolo, L., & Sugano, S. G. (2020). Self-perceived and actual competencies of senior high school students in General Mathematics. Cogent Education. https://doi.org/10.1080/2331186X.2020.1779505
  45. Mccarthy, B., Sithole, A., Mccarthy, P., Cho, J., & Gyan, E. (2016). Teacher questioning strategies in mathematical classroom discourse: A case study of two grade eight teachers in Tennessee, USA. Journal of Education and Practice, 7(21), 80-89.
  46. Mugambi, M. M. (2018). Linking constructivism theory to classroom practice. International Journal of Humanities Social Sciences and Education, 5(9), 96-104. http://dx.doi.org/10.20431/2349-0381.0509014
  47. Mullis, I.V.S., M.O. Martin, P. Foy, D.L. Kelly, B. Fishbein. 2020. TIMSS 2019 International Results in Mathematics and Science. Retrieved from Boston College, TIMSS & PIRLS International Study Center.
  48. Neuman, W. L. (2014). Social Research Methods: Qualitative and Quantitative Approaches (7th ed.). Boston: Pearson.
  49. Newcombe, N. S., & Frick, A. (2010). Early education for spatial intelligence: Why, what, and how. Mind, Brain, and Education, 4(3), 102–111. https://doi.org/10.1111/j.1751-228X.2010.01089.x
  50. Niss, M., & Højgaard, T. (2019). Mathematical competencies revisited. Educational Studies in Mathematics, 102, 9-28.
  51. Nizoloman, O. (2013). Relationship between mathematical ability and achievement in mathematicsamong female secondary school students in Bayelsa State Nigeria. Procedia - Social and Behavioral Sciences, 106 (2013) 2230 – 2240.
  52. Norbury, C. F., Gooch, D., Baird, G., Charman, T., Simonoff, E., & Pickles, A. (2016). Younger children experience lower levels of language competence and academic progress in the first year of school: evidence from a population study. Journal of Child Psychology and Psychiatry, 57(1) 65-73. https://doi.org/10.1111/jcpp.12431
  53. Osman, S., Yang, C. N. A. C., Abu, M. S., Ismail, N., Jambari, H., & Kumar, J. A. (2018). Enhancing students’ mathematical problem-solving skills through bar model visualisation technique. International Electronic Journal of Mathematics Education, 13(3), 273-279.
  54. Pehkonen, J., Viinikainen, J., Böckerman, P., Keltikangas-Järvinen, L., Pulkki-Råback, L., & Raitakari, O. T. (2015). Relative age at school entry, school performance and long-term labour market outcomes. Applied Economics, 22(16), 1345-1348. https://doi.org/10.1080/13504851.2015.1031864
  55. Philippine Statistics Authority. (2013). Functional Literacy, Education and Mass Media Survey
  56. Piaget, J. (1973). To Understand is to Invent: The Future of Education. Viking Press.
  57. Pieto & Zan. (2001). Attitude Towards Mathematics: Some Theoretical Issues” Universita di Pisa, Italy
  58. Pritchett, L., & Sandefur, J. (2017). Girls’ Schooling and Women’s Literacy: Schooling Targets Alone Won’t Reach Learning Goals. RISE-WP-17/011
  59. Rittle-Johnson, B., & Schneider, M. (2015). Developing conceptual and procedural knowledge of mathematics. In R. C. Kadosh & A. Dowker (Eds.), The Oxford handbook of numerical cognition (pp. 1118–1134). Oxford University Press. https://doi.org/10.1093/oxfordhb/9780199642342.013.014
  60. Roble, D. B., Lomibao, L. S., & Luna, C. A. (2021). Developing Students’ Creative Constructs in Mathematics with Problem-Based (PB) and Problem Posing (PP) Tasks. Canadian Journal of Family and Youth/Le Journal Canadien de Famille et de la Jeunesse, 13(2), 82-94.
  61. Roble, D. B., Lomibao, L. S., & Luna, C. A. (2021). Developing Students’ Creative Constructs in Mathematics with Problem-Based (PB) and Problem Posing (PP) Tasks. Canadian Journal of Family.
  62. Rohid, N., & Rusmawati, R. D. (2019). Students’ Mathematical Communication Skills (MCS) in Solving Mathematics Problems: ACase in Indonesian Context. Anatolian Journal of Education, 4(2), 19-30.
  63. Sakirudeen, O. A., & Sanni, B. K. (2017). Study habits and academic performance of secondary school students in mathematics: A case study of selected secondary schools in uyo local education council. Istraživanja u pedagogiji, 7(2), 283-297. https://doi.org/10.17810/2015.65
  64. Salikutluk, Zerrin, and S. Heyne. 2017. Do Gender Roles and Norms Affect Performance in Maths? The Impact of Adolescents’ and Their Peers’ Gender Conceptions on Maths Grades. European Sociological Review 33 (3): 368–381.
  65. Sawada, E. (2019). The effect of word familiarity and lexical neighborhood on L2 speech perception. ICU Working Papers in Linguistics (ICUWPL), (6), 49-57
  66. Schoenfeld, Alan H. (2013) “Reflections on Problem Solving Theory and Practice,” The Mathematics Enthusiast: Vol. 10: No. 1, Article 3. DOI: https://doi.org/10.54870/1551-3440.1258.
  67. Shah, M. N. (2022). Determining the Effect of Bar Model Technique on Students’ Mathematical Word Problem Solving Skills. Journal of Contemporary Teacher Education, 6, 145-156
  68. Siaw, E. S., Shim, G. T. G., Azizan, F. L., & Shaipullah, N. M. (2020). Understanding the Relationship between Students’ Mathematics Anxiety Levels and Mathematics Performances at the Foundation Level. Journal of Education and Learning, 10(1), 47. https://doi.org/10.5539/jel.v10n1p47
  69. Singh, Abhijeet. 2020. “Learning More with Every Year: School Year Productivity and International Learning Divergence.” Journal of the European Economic Association, 18 (4): 1770–1813.
  70. Song, S. (2022). Relations between Mathematical Vocabulary and Children’s Mathematical Performance (Doctoral dissertation, Carleton University)
  71. Stacey, K. & Groves, S. (1985) Strategies for Problem Solving. Lesson Plans for Developing Mathematical Thinking. Melbourne: Objective Learning Materials.
  72. Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008). Orchestrating Productive Mathematical Discussions: Five Practices for Helping Teachers Move Beyond Show and Tell. Mathematical Thinking and Learning, 10(4), 313–340. https://doi.org/10.1080/10986060802229675
  73. Taehoon, K. (2018). Age Culture, School-Entry Cutoff and the Choices of Birth Month and School-Entry Timing in South Korea. https://doi.org/10.2139/ssrn.3147710
  74. Taylor, E. V. (2015). Cultural considerations in support of mathematical perseverance: The role of context activation (White paper). Chicago, IL: Spencer Foundation. From http://hub.mspnet.org/index.cfm/28130
  75. Thoren, K., Heinig, E., & Brunner, M. (2016). Relative age effects in mathematics and reading: ınvestigating the generalizability across students, time and classes. Frontiers in Psychology, 7(679). https://doi.org/10.3389/fpsyg.2016.00679
  76. Tiffany, F., Surya, E., Panjaitan, A., & Syahputra, E. (2017). Analysis Mathematical Communication Skills Student at The Grade IX Junior High School. Ijariie-Issn (O)-2395-4396, 3(2), 2160-2164
  77. Tong, D. H., Nguyen, T., Uyen, B. P., Ngan, L. K., Khanh, L. T., & Tinh, P. T. (2022). Realistic mathematics education’s effect on students’ performance and attitudes: A case of ellipse topics learning. European Journal of Educational Research, 11(1), 403-421. https://doi.org/10.12973/eu-jer.11.1.403
  78. Uttal DH, Meadow NG, Tipton E, Hand LL, Alden AR, Warren C, Newcombe NS. The malleability of spatial skills: a meta-analysis of training studies. Psychol Bull. 139(2):352-402. doi: 10.1037/a0028446. Epub 2012 Jun 4. PMID: 22663761.
  79. Vandecandelaere, M., Vansteelandt, S., De Fraine, B., & Van Damme, J. (2016). The effects of early grade retention: effect modification by prior achievement and age. Journal Of School Psychology, 54, 79-93. https://doi.org/10.1016/j.jsp.2015.10.004
  80. Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Harvard University Press.
  81. Wang, Su. 2017. Interpretation of 2017 China STEM Education White Paper. Modern Education 7: 4–7.
  82. Wang, Weidong, ed. 2016. China Education Tracking Survey, 6–12. Peking: China Society Press.
  83. Waswa D. & Al-Kassab M. (2022). Mathematics Learning Challenges and Difficulties: A Students’ Perspective. Singapore
  84. Western Governor University (2020). “What is Constructivism” Teaching and Education, Western Governor University, Indiana U.S.A
  85. World Bank. (2018). Making Growth Work for the Poor: A Poverty Assessment for the Philippines, World Bank,, Manila
  86. Wriston. (2015). The Importance of a Strong Mathematical Foundation. University of Akron, Ohio USA
  87. Wu, Yajun. 2016. Characteristics and Trends of the Study on Gender Differences in mathematics Learning in China. Education and Teaching Frum 18: 215–217.
  88. Zaleta C. & Rueben K. (2008). “Exploring Mathematical Concepts in Literature” Middle School Journal, University of Texas.
  89. Zhang, C., & Xie, Y. (2018). Does the school cutoff date cause the disadvantage for children born in July and August? The Journal of Chinese Sociology, 5(4), 1-21. https://doi.org/10.1186/s40711-018-0075-8.
  90. Zulnaidi, H., Heleni, S., & Syafri, M. (2021). Effects of SSCS Teaching Model on Students’ Mathematical Problem-Solving Ability and Self-Efficacy. International Journal of Instruction, 14(1), 475-488.