Assessing 7th-Grade Students’ Math Problem-Solving Skills Using Polya’s Method
May Jane C. Larenio | Maria Chona Z. Futalan
Discipline: Education
Abstract:
The current state of education presents numerous challenges, with students’ academic performance showing signs of decline, particularly in core subjects such as mathematics and English. This study aimed to assess the problem-solving ability of 7th-grade students using Polya’s Method and examine its relationship to their prior academic performance in Mathematics and English. It also sought to determine differences in students’ performance when grouped according to sex. The researcher employed a descriptive-correlational and comparative research design, utilizing a cluster sampling technique to identify 229 respondents. Validated test questions were used to assess students’ problem-solving abilities. Data were analyzed using percentages, t-test for independent samples, and Pearson Product-Moment Correlation Coefficient. The findings revealed that students’ prior academic performance in both Mathematics and English was generally very satisfactory. However, their problem-solving ability was only satisfactory in understanding the problem, poor in devising a plan, and very poor in executing the plan and reflecting on it. No significant relationship was found between Mathematics performance and any of the problem-solving steps. In contrast, English performance showed a weak but significant correlation with the “Carrying Out a Plan” stage. Additionally, female students outperformed males in academic subjects, though no significant difference was found in problem-solving ability between the sexes. A significant gap was revealed between students’ academic success and their actual ability to apply problem-solving strategies effectively, as indicated by the results of this study. It also highlights the need for instructional strategies that go beyond rote memorization and focus on cognitive and metacognitive development. Reinforcing literacy and analytical thinking across disciplines, particularly through explicit teaching of problem-solving strategies, can better prepare students to engage with complex, real-world challenges. The results also support inclusive intervention strategies, as problem-solving difficulties affect both sexes equally, regardless of academic performance.
References:
- Ambasa, R., & Tam, D. (2019). Student mathematics performance and problem-solving skills in an experiential learning environment (Unpublished Master’s thesis). Central Mindanao University. https://tinyurl.com/yck9vbbw
- Añar, L. E., Barroso, C. J. V., & Manlagaylay, M. P. (2023). The performance of basic education learners in the National Achievement Test. Journal for ReAttach Therapy and Developmental Diversities, 6(9s), 1520-1535. https://tinyurl.com/4u5um95n
- Arfiana, A., & Wijaya, A. (2018). Problem-solving skills of senior high school and Islamic high school students in Tegal Regency in solving PISA-related problems based on Polya’s stages. Jurnal Riset Pendidikan Matematika, 5(2), 211-222. http://dx.doi.org/10.21831/jrpm.v5i2.15783
- Cabansag, M. J. (2024). Assessing the correlation between reading comprehension and problem–solving skills of grade 10 students. Psychology and Education: A Multidisciplinary Journal, 22(6), 709–717. https://doi.org/10.5281/zenodo.12807002
- Capinding, A., & Ducut, C. (2021). Intelligence quotient (IQ) and sex: Predictors of academic performance, emotional state, social adaptability, and work attitude. Epra International Journal of Multidisciplinary Research (IJMR), 129–141. https://doi.org/10.36713/epra6485
- Dailo, A. E., & Dailo, R. R. (2022). Differentiated instruction in mathematics: Its effect on the level of critical thinking skills of grade 7 students. Journal Asia Pacific Journal of Advanced Education and Technology, 30, 31. https://doi.org/10.54476/apjaet/59497
- Daulay, K. R., & Ruhaimah, I. (2019). Polya theory to improve problem-solving skills. Journal of Physics: Conference Series, 1188, 012070. https://doi.org/10.1088/1742-6596/1188/1/012070
- Department of Education. (2019). PISA 2018 Philippine national report. Retrieved from https://tinyurl.com/3t4ubmnj
- Djudin, T. (2023). Transferring of mathematics knowledge into physics learning to promote students’ problem-solving skills. International Journal of Instruction, 16(4), 231–246. https://doi.org/10.29333/iji.2023.16414a
- Futalan, M. C., & Santisteban, A. (2024). The interplay among students’ social behavior, thinking skills, and academic performance in core subjects. Journal of Interdisciplinary Perspectives, 2(4), 130–137. https://doi.org/10.5281/zenodo.10846618
- Gulam, A. J. B., & Arenas, J. C. (2024). Mathematics performance and Polya’s method in problem solving. World Journal of Advanced Research and Reviews, 23(3), 2156–2162. https://doi.org/10.30574/wjarr.2024.23.3.2873
- Guthrie, J. T., Hoa, A. L. W., Wigfield, A., Tonks, S. M., Humenick, N. M., & Littles, E. (2007). Reading motivation and reading comprehension growth in the later elementary years. Contemporary Educational Psychology, 32(3), 282–313. https://doi.org/10.1016/j.cedpsych.2006.05.004
- Iilonga, H. K., & Ogbonnaya, U. (2024). Students' ‘looking back’ in solving algebraic word problems. Edumatica: Jurnal Pendidikan Matematika, 14(01), 14-24. https://doi.org/10.22437/edumatica.v14i01.29404
- Jala, G. T. (2020). Pupils’ reading comprehension, problem-solving skills, and academic performance. Journal of World Englishes and Educational Practices, 2(4), 1–9. https://doi.org/10.32996/jweep.2020.2.4.1
- Judijanto, J., Yapatang, K., & Polyiem, Y. (2024). The significance of mathematics in developing analytical skills. Journal of Mathematical Learning, 12(3), 208-222. https://doi.org/10.5539/jel.v11n3p40
- Korkmaz, S., Demirci, S. Ç., & Kul, Ü. (2024). Evaluation of questions in middle school mathematics textbooks in terms of problem-solving strategies. Kastamonu Education Journal, 32(4), 554-567. https://doi.org/10.24106/kefdergi.1574325
- Lapuz, A. M. E., & Fulgencio, M. N. (2020). Improving the critical thinking skills of secondary school students using problem-based learning. International Journal of Academic Multidisciplinary Research, (4)1, 1-7. https://ssrn.com/abstract=3543211
- Lopez, V. (2022). The nexus between English language proficiency and Mathematics competency: The case of Filipino K-12 graduates. AIDE Interdisciplinary Research Journal, 3, 527–577. https://doi.org/10.56648/aide-irj.v3i1.84
- Malibiran, H., Aplaon, Z., & Izon, M. (2019). Determinants of problem-solving performance in mathematics 7: A regression model. International Forum, 22(1), 65–86. https://tinyurl.com/2x9p8adk
- Mullis, I. V., Martin, M. O., Foy, P., Kelly, D. L., & Fishbein, B. (2020). TIMSS 2019 international results in mathematics and science. TIMSS & PIRLS International Study Center. Retrieved from https://tinyurl.com/3386jwcn
- Nurudeen, A. H., Fakhrou, A., Lawal, N., & Ghareeb, S. (2024). Academic performance of engineering students: A predictive validity study of first‐year GPA and final‐year CGPA. Engineering Reports, 6(5), e12766. https://doi.org/10.1002/eng2.12766
- Ocak, G., Doğruel, A. B., & Tepe, M. E. (2021). An analysis of the relationship between problem-solving skills and scientific attitudes of secondary school students. International Journal of Contemporary Educational Research, 8(1), 72-83. https://doi.org/10.33200/ijcer.780710
- OECD. (2019). PISA 2018 results (Volume I): What students know and can do. Retrieved from https://doi.org/10.1787/5f07c754-en
- Pham, T., Joanisse, M. F., Ansari, D., Oram, J., Stager, C., & Archibald, L. (2025). Early cognitive predictors of language, literacy, and mathematics outcomes in the primary grades. Early Childhood Research Quarterly, 70, 187–198. https://doi.org/10.1016/j.ecresq.2024.10.004
- Pascua, V. V., & Dulos, C. C. (2020). Parents and teachers’ collaboration on the performance of elementary pupils in the schools division of Tarlac Province. ASEAN Journal of Basic and Higher Education, 2(1). https://tinyurl.com/bdetevnr
- Rahman, M. M. (2019). 21st century skill “problem solving”: Defining the concept. Asian Journal of Interdisciplinary Research, 2(1), 64–74. https://doi.org/10.34256/ajir1917
- Roslan, M. H. B., & Chen, C. J. (2023). Predicting students’ performance in English and Mathematics using data mining techniques. Education & Information Tech., 28(2), 1427–1453. https://doi.org/10.1007/s10639-022-11259-2
- Sauro, K. (2024). Learning strategies and attitudes as predictors of problem-solving abilities of STEM students in general physics. International Journal of Research and Innovation in Social Science, 8(7), 2461–2484. https://dx.doi.org/10.47772/IJRISS.2024.807194
- Selorio, A. (2024). Early grade foundational numeracy skills: A pretest-posttest analysis of grades 1 to 3 pupils of the Foundation Preparatory Academy, Foundation University.
- Shanta, S., & Wells, J. G. (2022). T/E design based learning: Assessing student critical thinking and problem solving abilities. International Journal of Technology and Design Education, 32(1), 267–285. https://doi.org/10.1007/s10798-020-09608-8
- Singh, S. (2021). Defining and measuring academic performance of HEI Students-A critical review. Turkish Journal of Computer and Mathematics Education, 12(6), 3091–3105. https://tinyurl.com/3nwsk6k6
- Siregar, T., & Amir, A. (2024). Improving students' mathematical problem-solving skills through the problem-based learning model assisted by Scratch Learning Media. International Conference on Mathematics and Science Education. https://tinyurl.com/5n99vvsp
- Timario, R. R. (2020). Reading comprehension and problem-solving skills of grade seven students: A mixed sequential explanatory approach. American Journal of Humanities and Social Sciences Research (AJHSSR), 4(6), 83-91. https://tinyurl.com/2s4e6xn3
- Umunna, C. G., & RC, E. (2020). Effects of problem-solving strategy on academic achievement in reading comprehension. Journal of the Nigerian Academy of Education, 16(2). https://tinyurl.com/y96hpbhn
- Vidad, D. C., & Quimbo, M. A. T. (2021). Students’ problem-solving difficulties and coping strategies in mathematics: A model-building study. International Journal of Learning, Teaching and Educational Research, 20(9), 136-173. https://doi.org/10.26803/ijlter.20.9.9
- Yapatang, L., & Polyiem, T. (2022). Development of the mathematical problem-solving ability using applied cooperative learning and Polya’s problem-solving process for grade 9 students. Journal of Education and Learning, 11(3), 40. https://doi.org/10.5539/jel.v11n3p40
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