Home⇛Journal of Interdisciplinary Perspectives⇛vol. 3 no. 9 (2025)

Barriers to Achieving Mathematics Proficiency: Synthesis of Research

Maricris V. Dictado | Januard D. Dagdag

Discipline: Education

 

Abstract:

Mathematics education plays a crucial role in students’ academic development and real-world problem-solving. However, many high school students in the Philippines struggle to attain the expected learning competencies (ELCs)—defined as the grade-level mathematical skills and knowledge prescribed in the K to 12 curriculum. This literature review examines current research to identify and synthesize key factors contributing to the non-attainment of these competencies. Using a narrative review approach, the study analyzed peer-reviewed articles, policy reports, and local studies published from 2014 to 2024, focusing on challenges in secondary mathematics education. Twelve key factors were identified, including perceived irrelevance of mathematics to real-life, curriculum overload and fragmentation, time constraints, foundational gaps, ineffective teaching strategies, lack of classroom engagement, negative student attitudes, low student motivation, insufficient access to resources, misuse of technology, and ineffective assessment formats. These factors, both individually and collectively, hinder students' ability to achieve proficiency in mathematics. The review highlights the impact of these barriers on student learning. It suggests that addressing these challenges requires a comprehensive approach, including curriculum reforms, enhanced teacher training, and increased access to resources. Additionally, fostering a supportive learning environment that integrates real-world applications and utilizes clear, engaging teaching strategies can improve student motivation and achievement. This review emphasizes the need for continued research into these factors and their interactions to develop targeted interventions that can support students in overcoming the barriers to mathematics success.



References:

  1. Ajjawi, R., Tai, J., Dollinger, M., Dawson, P., Boud, D., & Bearman, M. (2023). From authentic assessment to authenticity in assessment: Broadening perspectives. Assessment & Evaluation in Higher Education, 49(4), 499–510. https://doi.org/10.1080/02602938.2023.2271193
  2. Alam, A., & Mohanty, A. (2023). Cultural beliefs and equity in educational institutions: Exploring the social and philosophical notions of ability groupings in teaching and learning of mathematics. International Journal of Adolescence and Youth, 28(1). https://doi.org/10.1080/02673843.2023.2270662
  3. Betts, J. R., Zau, A. C., Bachofer, K. V., & Polichar, D. (2023). Changing the odds: Student achievement after introduction of a middle school math intervention. Journal of Research on Educational Effectiveness, 17(1), 65–93. https://doi.org/10.1080/19345747.2023.2170937
  4. Boaler, J. (2016). Mathematical mindsets: Unleashing students' potential through creative math, inspiring messages and innovative teaching. Jossey-Bass/Wiley. Retrieved from https://bit.ly/4230D24
  5. Bowden, J. L. H., Tickle, L., & Naumann, K. (2019). The four pillars of tertiary student engagement and success: A holistic measurement approach. Studies in Higher Education, 46(6), 1207–1224. https://doi.org/10.1080/03075079.2019.1672647
  6. Brower, R. L., Woods, C. S., Jones, T. B., Park, T. J., Hu, S., Tandberg, D. A., Nix, A. N., Rahming, S. G., & Martindale, S. K. (2018). Scaffolding mathematics remediation for academically at-risk students following developmental education reform in Florida. Community College Journal of Research and Practice, 42(2), 112–128. https://doi.org/10.1080/10668926.2017.1279089
  7. Carmona, C. J. V. (2020). Teacher perception about excessive amounts of extracurricular activities that interfere with regular classes. Revista Educación, 44(1), 1–21. https://doi.org/10.15517/revedu.v44i1.34531
  8. Chang, C. C., & Hwang, G. J. (2024). Promoting students’ real case-handling performance and higher order thinking in virtual contexts: A metaverse-facilitated collaborative learning approach. Interactive Learning Environments, 1–16. https://doi.org/10.1080/10494820.2024.2430633
  9. Chen, A. M., Brown, S., Mark, K., & McBane, S. (2023). An overview of instructional approaches and decision-making strategies to curtail curricular overload. American Journal of Pharmaceutical Education, 87(8), 100013. https://doi.org/10.1016/j.ajpe.2022.12.001
  10. Chew, S. L., & Cerbin, W. J. (2020). The cognitive challenges of effective teaching. The Journal of Economic Education, 52(1), 17–40. https://doi.org/10.1080/00220485.2020.1845266
  11. Chinn, S. (2020). The trouble with maths: A practical guide to helping learners with numeracy difficulties (4th ed.). Routledge. https://doi.org/10.4324/9781003017714
  12. Cui, Y., Chen, F., Lutsyk, A., Leighton, J. P., & Cutumisu, M. (2023). Data literacy assessments: A systematic literature review. Assessment in Education: Principles, Policy & Practice, 30(1), 76–96. https://doi.org/10.1080/0969594X.2023.2182737
  13. Czaplinski, I., Turner, I. W., Helmstedt, K., Corry, P., & Mallet, D. G. (2019). Industry-based, transdisciplinary, complex problems as realistic settings for applying the M in STEM. International Journal of Mathematical Education in Science and Technology, 52(5), 653–668. https://doi.org/10.1080/0020739X.2019.1692932
  14. Dagdag, J. D. (2019). Mathematics educators’ perspectives on outcome-based education: Alignment with the learning paradigm of tertiary education in the Philippines. Interdisciplinary Research Review, 14(3), 1–7. https://tinyurl.com/48zwbskj
  15. Dagdag, J. D. (2020). Organizational structure and procedure barriers to obedizing Philippine higher education: Implications to policies and practice. Journal of Research, Policy & Practice of Teachers and Teacher Education, 10(1), 27–43. https://doi.org/10.37134/jrpptte.vol10.1.3.2020
  16. Dagdag, J. D., & Cardona, R. S. (2018). Perspectives on outcomes-based assessment (OBA) among college mathematics educators in northeastern Luzon, Philippines. Asia Pacific Journal of Multidisciplinary Research, 6(2), 18–25. https://bit.ly/2JpbPg8
  17. Dagdag, J. M. H., & Dagdag, J. D. (2020). Constructivism and the mathematics classroom assessments of elementary teachers. Journal of Critical Reviews, 7(12), 816–823. https://bit.ly/3Gf3so6
  18. Daucourt, M. C., Erbeli, F., Little, C. W., Haughbrook, R., & Hart, S. A. (2019). A meta-analytical review of the genetic and environmental correlations between reading and attention-deficit/hyperactivity disorder symptoms and reading and math. Scientific Studies of Reading, 24(1), 23–56. https://doi.org/10.1080/10888438.2019.1631827
  19. Deci, E. L., & Ryan, R. M. (1985). Intrinsic motivation and self-determination in human behavior. Springer. https://doi.org/10.1007/978-1-4899-2271-7
  20. Ding, N., Xu, X., & Lewis, E. (2022). Short instructional videos for the TikTok generation. Journal of Education for Business, 98(4), 175–185. https://doi.org/10.1080/08832323.2022.2103489
  21. Dragseth, M. R. (2019). Building student engagement through social media. Journal of Political Science Education, 16(2), 243–256. https://doi.org/10.1080/15512169.2018.1550421
  22. English, A. R., Tyson, K., Hintz, A., Murdoch, D., & Anderson, J. (2023). Pedagogical listening: Understanding how teachers listen to student struggle during mathematical sense-making discussions. Teachers and Teaching, 1–25. https://doi.org/10.1080/13540602.2023.2263738
  23. Eronen, L., & Kärnä, E. (2017). Students acquiring expertise through student-centered learning in mathematics lessons. Scandinavian Journal of Educational Research, 62(5), 682–700. https://doi.org/10.1080/00313831.2017.1306797
  24. Fergus, S., & Petrick Smith, C. (2022). Characteristics of proficiency-based learning and their impacts on math anxiety in the middle grades. RMLE Online, 45(4), 1–19. https://doi.org/10.1080/19404476.2022.2045810
  25. Fettes, T., Evans, K., & Kashefpakdel, E. (2020). Putting skills to work: It’s not so much the what, or even the why, but how…. Journal of Education and Work, 33(2), 184–196. https://doi.org/10.1080/13639080.2020.1737320
  26. Fisher, D. P., Brotto, G., Lim, I., & Southam, C. (2025). The impact of timely formative feedback on university student motivation. Assessment & Evaluation in Higher Education, 1–10. https://doi.org/10.1080/02602938.2025.2449891
  27. Fitriati, F., Rosli, R., Iksan, Z., & Hidayat, A. (2023). Exploring challenges in preparing prospective teachers for teaching 4C skills in mathematics classroom: A school-university partnership perspectives. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2023.2286812
  28. Freudenthal, H. (1991). Mathematics as an educational task. Kluwer Academic Publishers. https://doi.org/10.1007/978-94-010-2903-2
  29. Güler, M., & Çelik, D. (2018). How well prepared are the teachers of tomorrow? An examination of prospective mathematics teachers’ pedagogical content knowledge. International Journal of Mathematical Education in Science and Technology, 50(1), 82–99. https://doi.org/10.1080/0020739X.2018.1472821
  30. Hattie, J. (2008). Visible learning: A synthesis of over 800 meta-analyses relating to achievement. Routledge. https://bit.ly/42j1SsZ
  31. Hawrot, A., Peters, A. K., Roloff-Bruchmann, J., & Guill, K. (2023). The structure and predictors of instructional quality in private tutoring: A study among German private tutors. Educational Review, 76(5), 1325–1343. https://doi.org/10.1080/00131911.2023.2250571
  32. Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students' learning. American Educational Research Journal, 44(3), 527–550. https://bit.ly/4jqkMVQ
  33. Hong, D. S., & Choi, K. M. (2018). Challenges of maintaining cognitive demand during the limit lessons: Understanding one mathematician’s class practices. International Journal of Mathematical Education in Science and Technology, 50(6), 856–882. https://doi.org/10.1080/0020739X.2018.1543811
  34. Jackson, D. C. (2020). Sustainable multi-disciplinary mathematics support. International Journal of Mathematical Education in Science and Technology, 53(6), 1343–1362. https://doi.org/10.1080/0020739X.2020.1819572
  35. Johnson, A., & Barker, E. (2022). Understanding differential growth during school years and summers for students in special education. Journal of Education for Students Placed at Risk (JESPAR), 28(2), 179–203. https://doi.org/10.1080/10824669.2022.2051145
  36. Kwarikunda, D., Schiefele, U., Ssenyonga, J., & Muwonge, C. M. (2021). Secondary school students’ motivation profiles for physics learning: Relations with cognitive learning strategies, gender, attitudes and individual interest. African Journal of Research in Mathematics, Science and Technology Education, 25(2), 197–210. https://doi.org/10.1080/18117295.2021.1956720
  37. Lawson, D., Grove, M., & Croft, T. (2019). The evolution of mathematics support: A literature review. International Journal of Mathematical Education in Science and Technology, 51(8), 1224–1254. https://doi.org/10.1080/0020739X.2019.1662120
  38. Leek, J., Rojek, M., Dobińska, G., & Kosiorek, M. (2024). Navigating the power of time in classroom practices: Teachers’ and students’ perspectives. Educational Review, 1–23. https://doi.org/10.1080/00131911.2024.2438878
  39. Lin, T. J. (2021). Multi-dimensional explorations into the relationships between high school students’ science learning self-efficacy and engagement. International Journal of Science Education, 43(8), 1193–1207. https://doi.org/10.1080/09500693.2021.1904523
  40. Lo, C. K., Cheung, K. L., Chan, H. R., & Chau, C. L. E. (2021). Developing flipped learning resources to support secondary school mathematics teaching during the COVID-19 pandemic. Interactive Learning Environments, 31(8), 4787–4805. https://doi.org/10.1080/10494820.2021.1981397
  41. Luttenberger, S., Wimmer, S., & Paechter, M. (2018). Spotlight on math anxiety. Psychology Research and Behavior Management, 11, 311–322. https://doi.org/10.2147/PRBM.S141421
  42. Ma, L. (2010). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States (2nd ed.). Erlbaum. https://doi.org/10.4324/9780203856345
  43. Makhubele, Y. E. (2021). The analysis of grade 8 fractions errors displayed by learners due to deficient mastery of prerequisite concepts. International Electronic Journal of Mathematics Education, 16(3), em0645. https://doi.org/10.29333/iejme/11004
  44. Maphosa, V. (2024). Enhancing authentic learning in a rural university: Exploring student perceptions of Moodle as a technology-enabled platform. Cogent Education, 11(1). https://doi.org/10.1080/2331186X.2024.2410096
  45. McCallum, S., & Milner, M. M. (2020). The effectiveness of formative assessment: Student views and staff reflections. Assessment & Evaluation in Higher Education, 46(1), 1–16. https://doi.org/10.1080/02602938.2020.1754761
  46. Melese, S. (2019). Instructors’ knowledge, attitude and practice of differentiated instruction: The case of College of Education and Behavioral Sciences, Bahir Dar University, Amhara Region, Ethiopia. Cogent Education, 6(1). https://doi.org/10.1080/2331186X.2019.1642294
  47. Nortvedt, G. A., & Siqveland, A. (2018). Are beginning calculus and engineering students adequately prepared for higher education? An assessment of students’ basic mathematical knowledge. International Journal of Mathematical Education in Science and Technology, 50(3), 325–343. https://doi.org/10.1080/0020739X.2018.1501826
  48. Oc, Y., & Hassen, H. (2024). Comparing the effectiveness of multiple-answer and single-answer multiple-choice questions in assessing student learning. Marketing Education Review, 35(1), 44–57. https://doi.org/10.1080/10528008.2024.2417106
  49. OECD. (2018). The future of education and skills: Education 2030. OECD Education Working Papers, 23. https://bit.ly/41Zrw74
  50. Qi, J. (2024). Analyzing the time-series relationship between learning atmosphere, negative emotions, and academic engagement in language learners. Innovation in Language Learning and Teaching, 1–18. https://doi.org/10.1080/17501229.2024.2444645
  51. Quinlan, K. M., Sellei, G., & Fiorucci, W. (2024). Educationally authentic assessment: Reframing authentic assessment in relation to students’ meaningful engagement. Teaching in Higher Education, 30(3), 717–734. https://doi.org/10.1080/13562517.2024.2394042
  52. Ramirez, G., Shaw, S. T., & Maloney, E. A. (2018). Math anxiety: Past research, promising interventions, and a new interpretation framework. Educational Psychologist, 53(3), 145–164. https://doi.org/10.1080/00461520.2018.1447384
  53. Rind, I. A., & Mari, M. A. (2019). Analysing the impact of external examination on teaching and learning of English at the secondary level education. Cogent Education, 6(1). https://doi.org/10.1080/2331186X.2019.1574947
  54. Rohde, J., Satterfield, D. J., Rodriguez, M., Godwin, A., Potvin, G., Benson, L., & Kirn, A. (2020). Anyone, but not everyone: Undergraduate engineering students’ claims of who can do engineering. Engineering Studies, 12(2), 82–103. https://doi.org/10.1080/19378629.2020.1795181
  55. Sarkar, M., Overton, T., Thompson, C. D., & Rayner, G. (2019). Academics’ perspectives of the teaching and development of generic employability skills in science curricula. Higher Education Research & Development, 39(2), 346–361. https://doi.org/10.1080/07294360.2019.1664998
  56. Schmidt, W. H., Wang, H., & McKnight, C. C. (2005). Curriculum coherence: An examination of US mathematics and science content standards from an international perspective. Journal of Curriculum Studies, 37(6), 531–559. https://doi.org/10.1080/0022027042000294682
  57. Schoenfeld, A. H. (2014). Mathematical problem solving. Academic Press. Retrieved from https://bit.ly/4j8p8Rx
  58. Schoenfeld, A. H. (2022). Why are learning and teaching mathematics so difficult? In M. Danesi (Ed.), Handbook of cognitive mathematics. Springer. https://doi.org/10.1007/978-3-030-44982-7_10-1
  59. Slavin, R. E., & Lake, C. (2017). Effective programs in elementary mathematics: A best-evidence synthesis. Review of Educational Research, 78(3), 427–515. https://doi.org/10.3102/0034654308317473
  60. Smets, W., De Neve, D., & Struyven, K. (2020). Responding to students’ learning needs: How secondary education teachers learn to implement differentiated instruction. Educational Action Research, 30(2), 243–260. https://doi.org/10.1080/09650792.2020.1848604
  61. Tran, T., Nguyen, T. T. T., Le, T. T. T., & Phan, T. A. (2019). Slow learners in mathematics classes: The experience of Vietnamese primary education. Education 3-13, 48(5), 580–596. https://doi.org/10.1080/03004279.2019.1633375
  62. Treacy, P. T. (2017). Incentivizing advanced mathematics study at upper secondary level: The case of bonus points in Ireland. International Journal of Mathematical Education in Science and Technology, 49(3), 417–436. https://doi.org/10.1080/0020739X.2017.1366558
  63. Wright, G. W., & Park, S. (2021). The effects of flipped classrooms on K–16 students’ science and math achievement: A systematic review. Studies in Science Education, 58(1), 95–136. https://doi.org/10.1080/03057267.2021.1933354
  64. Xu, X., Shi, Z., Bos, N. A., & Wu, H. (2023). Student engagement and learning outcomes: An empirical study applying a four-dimensional framework. Medical Education Online, 28(1). https://doi.org/10.1080/10872981.2023.2268347
  65. Yan, Z., Li, Z., Panadero, E., Yang, M., Yang, L., & Lao, H. (2021). A systematic review on factors influencing teachers’ intentions and implementations regarding formative assessment. Assessment in Education: Principles, Policy & Practice, 28(3), 228–260. https://doi.org/10.1080/0969594X.2021.1884042
  66. Zainuddin, Z., & Perera, C. J. (2017). Exploring students’ competence, autonomy and relatedness in the flipped classroom pedagogical model. Journal of Further and Higher Education, 43(1), 115–126. https://doi.org/10.1080/0309877X.2017.1356916
  67. Zelalem, A., Melesse, S., & Seifu, A. (2022). Teacher educators’ self-efficacy and perceived practices of differentiated instruction in Ethiopian primary teacher education programs: Teacher education colleges in Amhara Regional State in focus. Cogent Education, 9(1). https://doi.org/10.1080/2331186X.2021.2018909
  68. Zhang, L., & Jiang, Y. (2024). Cross-lagged associations among expectancy-value-cost beliefs in adolescent students’ mathematics academic outcomes. The Journal of Experimental Education, 1–21. https://doi.org/10.1080/00220973.2024.2372669 

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