Evaluating Mathematical Problem-Solving Skills in Primary School Students: Challenges and Insights from Polya’s Framework

Rahmayati Nur Hidayah; Rahayu Condro Murti

doi:10.35445/alishlah.v17i3.6534

Evaluating Mathematical Problem-Solving Skills in Primary School Students: Challenges and Insights from Polya’s Framework

Rahmayati Nur Hidayah, Rahayu Condro Murti

Abstract

Mathematical problem-solving skills are fundamental for fostering critical thinking, creativity, and the ability to address real-life challenges. However, many primary school students struggle with applying these skills effectively. This study aims to analyze the mathematical problem-solving abilities of Grade V elementary students using Polya’s four-stage problem-solving model. This qualitative descriptive research involved 56 Grade V students from a primary school. Data were collected using a mathematical problem-solving test focused on numerical material. Students' responses were analyzed based on Polya’s stages: understanding the problem, devising a plan, carrying out the plan, and looking back. The data analysis included data collection, reduction, presentation, and verification. The findings revealed that students showed the highest proficiency in understanding the problem (37%), followed by planning the solution (30%), solving the problem (23%), and rechecking their work (17%). These results indicate a declining trend in performance as students progress through each problem-solving stage. The study highlights students’ limited abilities in applying strategic and reflective thinking, particularly in later stages of the problem-solving process. This suggests a need for instructional approaches that promote active engagement, systematic thinking, and creative problem-solving. Educators are encouraged to adopt learning models that support student-centered learning and facilitate the development of higher-order thinking skills.

Keywords

mathematical, problem-solving, primary school

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References

Abdullah, I. H., Suharna, H., & Ruhama, M. A. (2024). The structure of students' mathematical errors in solving calculus problems based on cognitive style. International Education Studies, 17(4), 25–31. https://doi.org/10.5539/ies.v17n4p25

Choy, B. H., & Dindyal, J. (2018). An approach to teach with variations: Using typical problems. Mathematics Education Research Group of Australasia, 13, 21–38.

Fatahillah, A., Hussen, S., Monalisa, L. A., Wihardjo, E., & Priyanti, N. R. (2023). Analisis pemahaman konsep siswa pada materi pola bilangan. EDUPEDIA, 7(1), 96–109. https://doi.org/10.36456/edupedia.vol7.no1.a7070

Fyfe, E. R., & Brown, S. A. (2020). “This is easy, you can do it!” Feedback during mathematics problem solving is more beneficial when students expect to succeed. Instructional Science, 48(1), 23–44. https://doi.org/10.1007/s11251-019-09500-z

Hasan, A. (2024). Problem-based math learning strategies to improve students’ problem-solving skills. Journal of Mathematics Education, 1(1), 22–26. [Link unavailable – please provide source or journal name for accurate referencing]

Kusumaningrum, S. R., Furqon, M. N., Ulya, W. J., & Amaliyah, F. (2023). Analisis kemampuan pemecahan masalah matematika dalam menyelesaikan soal cerita berdasarkan prosedur Polya. Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam, 2(2), 162–169. https://doi.org/10.55606/jrrmipa.v2i2.314

Lee, C.-Y., & Lai, I. (2024). Enhancing solution diversity in arithmetic problems using fine-tuned AI language model. In Proceedings of the 2024 International Conference on Artificial Intelligence (pp. 515–516). [Include conference name/publisher or link]

Luo, Y., & Yu, B. (2020). Research on the teaching of understanding mathematics problems in elementary schools. In Reciprocal learning for cross-cultural mathematics education: A partnership project between Canada and China (pp. 201–219). Springer. https://doi.org/10.1007/978-3-030-38781-5_13

Panagdato, R. S., Barrameda, A. R., & Quintana, M. I. (2024). Computational and problem-solving skills in mathematics of AIMS students. Journal of Mathematics and Science Education. [Link and volume/issue info needed]

Pebrianti, A., Usdiyana, D., Dedy, E., & Sudihartinih, E. (2023). Kesulitan siswa dalam menyelesaikan soal pemecahan masalah ditinjau dari kemampuan awal matematika siswa. Aksioma: Jurnal Program Studi Pendidikan Matematika, 12(3), 3530–3541. https://doi.org/10.24127/ajpm.v12i3.7821

Pebriyanti, Y., & Amelia, R. (2023). Analysis of students' problem solving ability on set material according to Polya model. JIML: Journal of Innovative Mathematics Learning, 6(4), 272–279. https://doi.org/10.22460/jiml.v6i4.11941

Polya, G. (1985). How to solve it (2nd ed.). Princeton University Press.

Pradana, L. N. (2024). Problem-solving strategy: Mathematical problem-solving model within the Polya framework. KnE Social Sciences, 728–740. https://doi.org/10.18502/kss.v8i7.14599

Putri, A. A., Priatna, N., & Kusnandi, K. (2023). Analysis of student errors in solving mathematics problems based on Newman procedure and providing scaffolding. Numerical: Jurnal Matematika dan Pendidikan Matematika, 7(2), 321–332. https://doi.org/10.33603/numerical.v7i2.9015

Rachmawati, A., & Adirakasiwi, A. G. (2021). Analisis kemampuan pemecahan masalah matematis siswa SMA. JPMI (Jurnal Pembelajaran Matematika Inovatif), 4(4), 835–842. https://doi.org/10.22460/jpmi.v4i4.11199

Rozinita, A., Mushafanah, Q., & Nugroho, A. A. (2023). Analisis kesulitan peserta didik dalam menyelesaikan soal cerita operasi hitung penjumlahan dan pengurangan. ALSYS, 3(4), 419–428. https://doi.org/10.33884/alsys.v3i4.7477

Scheibe, D. A., Was, C. A., Dunlosky, J., & Thompson, C. A. (2023). Metacognitive cues, working memory, and math anxiety: The regulated attention in mathematical problem solving (RAMPS) framework. Journal of Intelligence, 11(6), 117. https://doi.org/10.3390/jintelligence11060117

Siregar, T. J., & Khayroiyah, S. (2019). Pengaruh model pembelajaran kooperatif tipe Jigsaw terhadap kemampuan pemecahan masalah matematis mahasiswa. Jurnal MathEducation Nusantara, 2(2), 150–154. https://doi.org/10.32696/jmen.v2i2.472

Sofradzija, H., Sehic, S., Alibegovic, A., Bakic, S., & Camo, M. (2021). Education as a process and result. International Journal of Contemporary Education, 4(1), 56–64. https://doi.org/10.11114/ijce.v4i1.5208

Sugiyono. (2024). Metode penelitian kuantitatif kualitatif dan R&D. Alfabeta.

Suharti, S., Nur, F., & Alim, B. (2021). Polya steps for analyzing errors in mathematical problem solving. Al-Ishlah: Jurnal Pendidikan, 13(1), 741–748. https://doi.org/10.35445/alishlah.v13i1.487

Sundari, S., Fuadi, D., Hidayati, Y. M., Rahmawati, L. E., Fauziati, E., & Sutama, S. (2022). Elementary students’ independence in solving mathematics learning problems in post COVID-19 pandemic. Al-Ishlah: Jurnal Pendidikan, 14(4), 5755–5768. https://doi.org/10.35445/alishlah.v14i4.2785

Tay, Y. K., & Toh, T. L. (2023). A model for scaffolding mathematical problem-solving: From theory to practice. Contemporary Mathematics and Science Education, 4(2), ep23019. https://doi.org/10.30935/scimath/13488

Tririnika, Y., Suryadi, I., & Slamet, I. (2024). In-depth analysis of students’ mathematical problem-solving skills: Influence factors, motivation and effective teaching strategies. Al-Ishlah, 16(3). https://doi.org/10.35445/alishlah.v16i3.8921

Upu, H., Ihsan, H., & Armayanti, A. K. (2024). Solving mathematics problems based on visual information processing. Asian Journal of Education and Social Studies, 50(3), 219–225. https://doi.org/10.9734/ajess/2024/v50i31120

Wibowo, A., Syaekhu, A., & Rahmasinar, A. (2024). Analysis of students' errors in solving mathematics story problems on the system of linear equations with two variables. Journal of Digital Learning and Distance Education, 2(12), 872–878. https://doi.org/10.58503/jdlde.v2i12.958

DOI: https://doi.org/10.35445/alishlah.v17i3.6534