Mathematical Problem-Solving Strategies of Pre-Service Elementary School Teachers in Solving Contextual Problems

Authors

  • Refni Adesia Pradiarti Universitas Sunan Gresik, Jl. Dusun Sidorukun, Kec. Sidayu, Kab. Gresik, Jawa Timur, Indonesia

DOI:

https://doi.org/10.17977/um067v6i82026p1

Keywords:

Mathematical Problem Solving, Contextual Problems, Pre-Service Elementary School Teachers, Problem-Solving Strategies, Polya's Problem-Solving Stages

Abstract

This study aims to describe the mathematical problem-solving strategies employed by pre-service elementary school teachers in solving contextual problems based on Polya's problem-solving stages. The study adopted a qualitative approach with a descriptive research design. The participants consisted of 32 students from the Elementary School Teacher Education Program at Sunan Gresik University who completed a mathematical problem-solving test. Three participants were purposively selected to represent high-, moderate-, and low-ability groups. Data were collected through a contextual mathematical problem-solving test, semi-structured interviews, and documentation of the participants' written work. Data were analyzed using the Miles and Huberman model, which includes data reduction, data display, and conclusion drawing. The findings indicate that participants in the high-ability group successfully completed all stages of Polya's problem-solving process systematically, employed appropriate strategies, and accurately interpreted the results within the given context. Participants in the moderate-ability group were able to perform the mathematical procedures correctly but experienced difficulties in reflecting on and interpreting their solutions. Meanwhile, participants in the low-ability group encountered difficulties from the initial stage of understanding the problem, resulting in the use of inappropriate strategies and solutions that did not adequately address the problem requirements. These findings suggest that the ability to understand contextual situations, select appropriate strategies, and reflect on the solution process are key factors distinguishing the mathematical problem-solving performance of pre-service elementary school teachers.

References

Burgos, M., & Godino, J. D. (2022). Prospective primary school teachers’ competence for the cognitive analysis of students’ solutions to proportionality tasks. Journal für Mathematik-Didaktik, 43(2), 347-376. https://doi.org/10.1007/s13138-021-00193-4

Copur-Gencturk, Y., & Doleck, T. (2021). Strategic competence for multistep fraction word problems. Educational Studies in Mathematics, 107(1), 49-70. https://doi.org/10.1007/s10649-021-10028-1

Faizah, S. N., Yuliati, L., & Pristiani, R. (2025). Problem-solving skills of prospective elementary teachers: A systematic literature review. Multidisciplinary Reviews, 9(5), e2026253. https://doi.org/10.31893/multirev.2026253

Foster, C., Woodhead, S., Barton, C., & Clark-Wilson, A. (2022). School students’ confidence when answering diagnostic questions online. Educational Studies in Mathematics, 109(3), 491-521. https://doi.org/10.1007/s10649-021-10084-7

Giyarti, W., Putranto, S., & Maulana, S. T. F. (2025). Mathematical Problem Solving and Its Teaching: Study from Indonesian Preservice Teachers. JNPM (Jurnal Nasional Pendidikan Matematika), 9(4). https://doi.org/10.33603/jnpm.v9i4.10707

Hansen, R. (2022). Using decision theory to understand preservice teachers’ implementations of mathematical modelling. Mathematics Education Research Journal, 34(3), 551-573. https://doi.org/10.1007/s13394-022-00433-x

Jiang, P., Zhang, Y., Jiang, Y., & Xiong, B. (2022). Preservice mathematics teachers’ perceptions of mathematical problem solving and its teaching: A case from China. Frontiers in psychology, 13, 998586. https://doi.org/10.3389/fpsyg.2022.998586

Juniarti, M., Putri, A. D., & Nizar, H. (2022). Analisis Kemampuan Penalaran Matematis Dalam Pelaksanaan Pembelajaran Tatap Muka (PTM) Terbatas. Jurnal Pendidikan Matematika RAFA, 8(1), 25-39. https://doi.org/10.19109/jpmrafa.v8i1.11150

Kohar, A. W., Hidayat, D., Prihartiwi, N. R., & Palupi, E. L. (2022). Preservice Teachers in Real-world Problem-Posing: Can They Turn a Context into Mathematical Modelling Problems?. In SHS Web of Conferences (Vol. 149, p. 01032). EDP Sciences. https://doi.org/10.1051/shsconf/202214901032

Lalihatu, F., Ayal, C. S., & Matitaputty, C. (2026). Analisis Kemampuan Representasi Matematis terhadap Pemecahan Masalah Kontekstual. Teorema: Teori dan Riset Matematika, 11(1), 75-88. http://dx.doi.org/10.25157/teorema.v11i1.22991

Madzkiyah, A. F., & Arifin, S. (2024). Students’ Problem-Solving Skills Based on Polya’s Stages. Indonesian Journal of Mathematics Education, 7(2), 92-100. https://doi.org/10.31002/ijome.v7i2.2648

Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative data analysis. sage.

Mutaqin, E. J., Wahyudin, W., Herman, T., & Suryaningrat, E. F. (2025). Profil kemampuan pemecahan masalah matematis pada mahasiswa calon guru sekolah dasar: Studi pendahuluan. DWIJA CENDEKIA: Jurnal Riset Pedagogik, 9(1), 160-174. https://doi.org/10.20961/jdc.v9i1.99017

Paolucci, C., & Stepp, Z. A. (2021). Examining preservice teachers' understanding of slope through posing problems and embedding learning in real-world contexts. Teaching and Teacher Education, 107, 103476. https://doi.org/10.1016/j.tate.2021.103476

Piñeiro, J. L., Chapman, O., Castro-Rodríguez, E., & Castro, E. (2021). Prospective elementary teachers’ pedagogical knowledge for mathematical problem solving. Mathematics, 9(15), 1811. https://doi.org/10.3390/math9151811

Pöysä-Tarhonen, J., Häkkinen, P., Tarhonen, P., Näykki, P., & Järvelä, S. (2022). “Anything taking shape?” Capturing various layers of small group collaborative problem solving in an experiential geometry course in initial teacher education. Instructional science, 50(1), 1-34. https://doi.org/10.1007/s11251-021-09562-5

Pradiarti, R. A., & Subanji, S. (2022). Kemampuan pemecahan masalah matematis siswa SMP ditinjau dari gaya kognitif. Mosharafa: Jurnal Pendidikan Matematika, 11(3), 379-390. https://doi.org/10.31980/mosharafa.v11i3.729

Pradiarti, R. A., Sudirman, S., & Sisworo, S. (2024). Students' Creative Thinking Process in Solving Multiple Solution Tasks on Geometry Material. Jurnal Pendidikan MIPA, 25(1), 248-263. http://dx.doi.org/10.23960/jpmipa/v25i1.pp248-263

Resi, B. B. F., & Nay, F. A. (2026). Eksplorasi Proses Berpikir Matematis Siswa dalam Menyelesaikan Masalah Kontekstual Berbasis Pendidikan Matematika Realistik (PMR). JURNAL PENDIDIKAN MIPA, 16(2), 435-440. https://doi.org/10.37630/jpm.v16i2.4212

Rott, B., Specht, B., & Knipping, C. (2021). A descriptive phase model of problem-solving processes. ZDM–Mathematics Education, 53(4), 737-752. https://doi.org/10.1007/s11858-021-01244-3

Sari, P. S., Sabarudin, Annisah, S., & Reihani, T. S. (2025). POLYA APPROACH IN PRACTICE: ANALYSIS OF PGMI STUDENTS'MATHEMATICS PROBLEM-SOLVING SKILLS. Jurnal Cakrawala Pendas, 11(1), 141-159. https://doi.org/10.31949/jcp.v11i1.11916

Schanke, A. (2023). Improving mathematical self-efficacy of preservice elementary teachers. PRIMUS, 33(3), 271-284. https://doi.org/10.1080/10511970.2022.2068092

Segura, C., & Ferrando, I. (2023). Pre-service teachers’ flexibility and performance in solving Fermi problems. Educational Studies in Mathematics, 113(2), 207-227. https://doi.org/10.1007/s10649-023-10220-5

Weber, T., Rathgeb-Schnierer, E., & Eichler, A. (2025). Development of Prospective Elementary Teachers´ Beliefs About Mathematics During Their First Semester at University, and the Impact of Inquiry-Based Tasks. International Journal of Research in Undergraduate Mathematics Education, 11(1), 146-161. https://doi.org/10.1007/s40753-023-00232-0

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Published

08-07-2026

How to Cite

Pradiarti, R. A. . (2026). Mathematical Problem-Solving Strategies of Pre-Service Elementary School Teachers in Solving Contextual Problems. Jurnal MIPA Dan Pembelajarannya, 6(8), 1. https://doi.org/10.17977/um067v6i82026p1

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