Understanding Students’ Mathematical Problem-Solving Difficulties: Teachers’ Strategies and Learners’ Coping Mechanisms
Main Article Content
Abstract
Solving mathematical problems remains a persistent challenge among learners, prompting this study to explore the specific difficulties experienced by students in a public secondary school in Digos City, Davao del Sur. Using a qualitative phenomenological research design, the study engaged ten mathematics teachers and fourteen students selected through purposive and convenience sampling. Data were generated through key-informant interviews and focus group discussions and analyzed using Braun and Clarke’s (2021) thematic analysis framework. Findings revealed five major themes describing students’ difficulties: (1) lack of comprehension of word problems, (2) difficulty translating mathematical phrases, (3) negative attitudes toward mathematics, (4) preparation and focus issues, (5) memory issues, and (6) instructional issues. To address these challenges, teachers employed varied strategies, including differentiated methods, vernacular translation, and motivational techniques, while students relied on personal responsibility through studying, asking questions, and practicing problem-solving skills. The study highlights the shared responsibility of the academe, teachers, students, and parents in providing sustained support to strengthen learners’ problem-solving competence and improve mathematics performance.
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Alreshidi, N. A. K. (2023). Enhancing topic specific prior knowledge of students impacts their outcomes in mathematics. Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1050468
Andersen, H., & Spencer, K. (2002). Using matrices to organise qualitative data: A practical example. Qualitative Research Journal, 2(1), 8–17.
Bouck, E. C., Smith, B., & Park, J. (2023). Mathematical language, representation, and accessibility: Recent directions in research and practice. International Journal of Mathematical Education in Science and Technology, 54(6), 1023–1042. https://doi.org/10.1080/0020739X.2022.2143648
Braun, V., & Clarke, V. (2021). Thematic analysis: A practical guide. SAGE Publications.
Evidence Based Nursing. (2025). Ensuring validity and reliability in qualitative research. Evidence-Based Nursing. https://ebn.bmj.com/content/ebnurs/early/2025/01/21/ebnurs-2024-104232.full.pdf
Finch, T., & Smith, R. (2020). Contemporary phenomenological approaches in education research. International Journal of Qualitative Studies in Education, 33(5), 521–536. https://doi.org/10.1080/09518398.2020.1734567
Gill, P., Stewart, K., Treasure, E., & Chadwick, B. (2018). Methods of data collection in qualitative research: Interviews and focus groups. Journal of Qualitative Methods, 17, 1–12. https://doi.org/10.1177/16094069231205789
GOV.UK. (2025). Ethical considerations associated with qualitative research methods. UK Government Data Ethics Guidance. https://www.gov.uk/data-ethics-guidance/ethical-considerations-associated-with-qualitative-research-methods
International Conference on Education and Evaluation Practices (ICEEP). (2024). Reading comprehension skills and word problem performance of BSED Mathematics majors [Conference paper]. ICEEP 2024 Proceedings. https://icceph.com/wp-content/uploads/2024/09/READING-COMPREHENSION-SKILLS-AND-WORD-PROBLEM-PERFORMANCE-OF-BSED-MATHEMATICS-MAJOR.pdf
International review. (2024). The impact of early math and numeracy skills on academic achievement. International Journal of Advanced Multidisciplinary Studies, 97–107.
Lambert, S. D., & Loiselle, C. G. (2018). Combining individual interviews and focus groups to enhance qualitative inquiry. Qualitative Health Research, 28(3), 509–517. https://doi.org/10.1177/1049732316689376
Lincoln, Y. S., & Guba, E. G. (2025). Four pillars for establishing trustworthiness in qualitative research. Evidence Based Nursing briefing. https://ebn.bmj.com/content/ebnurs/early/2025/01/21/ebnurs-2024-104232.full.pdf
McLeod, S. (2024). Trustworthiness of qualitative data. Simply Psychology. https://www.simplypsychology.org/trustworthiness-of-qualitative-data.html
Nowell, L. S., Norris, J. M., White, D. E., & Moules, N. J. (2017). Thematic analysis: Striving to meet the trustworthiness criteria. International Journal of Qualitative Methods, 16, 1–13. https://doi.org/10.1177/1609406917733847
O’Brien, B. C., Harris, I. B., Beckman, T. J., Reed, D. A., & Cook, D. A. (2018). Standards for reporting qualitative research: A synthesis of recommendations. Academic Medicine, 89(9), 1245–1251. https://doi.org/10.1097/ACM.0000000000000388
OECD. (2019). PISA 2018 results (Volume I): What students know and can do. OECD Publishing. https://doi.org/10.1787/5f07c754-en
Oracion, Q. J. G., & Abina, I. L. S. (2021). The mediating effect of students’ attitude to student career aspiration and mathematics achievement. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 6(3), 158–173. https://doi.org/10.23917/jramathedu.v6i3.13784
Palinkas, L. A., Horwitz, S. M., Green, C. A., Wisdom, J. P., Duan, N., & Hoagwood, K. (2019). Purposeful sampling for qualitative studies: Rationale and strategies for effective case selection. Qualitative Health Research, 29(5), 1–12. https://doi.org/10.1177/1049732318796297
Pahilan, L., & Comahig, A. (2025). Study habits, learning environment and mathematics performance of Grade 11 STEM students. Psychology and Education: A Multidisciplinary Journal, 39(2).
Patton, M. Q. (2015). Qualitative research and evaluation methods (4th ed.). SAGE Publications.
Saunders, B., Sim, J., Kingstone, T., Baker, S., Waterfield, J., Bartlam, B., Burroughs, H., & Jinks, C. (2018). Saturation in qualitative research: Exploring its conceptualisation and operationalisation. Qualitative Research, 18(2), 1–18. https://doi.org/10.1177/1468794116679873
Stylianides, A. J., & Stylianides, G. J. (2024). Problem solving in mathematics education: Tracing its foundations and recent directions. ZDM — The International Journal on Mathematics Education. https://doi.org/10.1007/s11858-024-01578-8
Tañola, M. D., & Lomibao, L. S. (2024). Understanding how students learn mathematics: A systematic literature review of contemporary learning strategies in mathematics education post 2020. Journal of Innovations in Teaching and Learning, 4(1), 66–75. https://doi.org/10.12691/jitl-4-1-11
Yang, Y., Maeda, Y., & Gentry, M. (2024). The relationship between mathematics self efficacy and mathematics achievement: Multilevel analysis with NAEP 2019. Large-scale Assessments in Education, 12, 16. https://doi.org/10.1186/s40536-024-00204-z
Zakariya, Y. F. (2022). Improving students’ mathematics self-efficacy: A systematic review of intervention studies. Frontiers in Psychology, 13, Article 986622. https://doi.org/10.3389/fpsyg.2022.986622