Kemampuan Pemecahan Masalah Matematika Siswa SMP dalam Menyelesaikan Soal HOTS ditinjau dari Tahapan Polya
DOI:
10.29303/jm.v8i2.11955Published:
2026-05-31Downloads
Abstract
This study aims to describe the mathematical problem-solving profile of junior high school students when solving Higher Order Thinking Skills (HOTS) problems based on Polya's stages. Employing a qualitative descriptive approach, this research involved 15 seventh-grade students from a high-performing public junior high school in Sleman Regency, Yogyakarta. The research instrument was an algebraic problem-solving test validated through expert judgment. The subjects were categorized into high, moderate, and low mathematical ability groups. Three students from each category were then selected for in-depth analysis using investigator triangulation. The results indicated that the high-category students successfully carried out all of Polya's stages, including implicit reviewing, as evidenced by procedural precision and accurate final answers. The moderate-category students were able to understand the problems but encountered errors during the execution stage and neglected to evaluate their results. Meanwhile, the low-category students experienced cognitive obstacles right from the problem-understanding stage and demonstrated no metacognitive activities. This study concludes that students' failure in solving HOTS problems is primarily caused by weak metacognitive control and an insufficient mastery of algebraic concepts. Consequently, mathematical instruction must habituate reflective strategies at every stage of the problem-solving process.
Keywords:
problem solving Polya stages HOTS algebra metacognitionReferences
Amaliya, I., & Fathurohman, I. (2022). Analisis Kemampuan Literasi Matematika Ditinjau dari Gaya Belajar Siswa Sekolah Dasar. Jurnal Riset Pendidikan Dasar, 5(1), 45–56. https://doi.org/https://doi.org/10.26618/jrpd.v5i1.7294
Bruner, J. S. (1977). The Process of Education. Harvard University Press.
Dwi, A., Adis, R., & Wahyuni, I. (2023). Misconceptions of Quitters Students in Solving Algebra Problems Using a Two-Tier Multiple Choice Diagnostic. Kreano, Jurnal Matematika Kreatif-Inovatif, 14(2), 216–227.
Dwi Fitdyawati, S., In’am, A., & Zukhrufurrohmah. (2025). Mathematical Problem-Solving Ability from the Perspective of the Computational Thinking Approach. Kreano, Jurnal Matematika Kreatif-Inovatif, 16(1), 210–227. https://doi.org/10.15294/kreano.v16i1.12197
Kokeb, A., Atnafu, M., & Mohammed, A. (2025). The Effects of Visually Assisted Guided Discovery Learning Strategy on Tenth Grade Students’ Problem Solving Skill of Plane Geometry. Mathematics Teaching-Research Journal, 17(2), 193–225.
Kurniyawati, Y., Mahmudi, A., & Wahyuningrum, E. (2019). Efektivitas problem-based learning ditinjau dari keterampilan pemecahan masalah dan kemandirian belajar matematis. Jurnal Riset Pendidikan Matematika, 6(1), 118–129. https://doi.org/10.21831/jrpm.v6i1.26985
Margaretta, S. B., Andayani, S., & Setyaningrum, W. (2026). The Effectiveness of RME and Scientific Approaches in Terms of Mathematical Literacy and Learning Interest. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 15(1), 323–334.
Martha, C. W. S., Maimunah, & Roza, Y. (2022). Problem Solving Ability of Junior High School Students in Solving HOTS Questions. JUPITEK -Jurnal Pendidikan Matematika, 5(2), 138–144. https://doi.org/10.1177/019263656204627414
Melinda, T. S., Sutiarso, S., & Firdaus, R. (2026). Analisis Kesalahan Siswa dalam menyelesaikan Kemampuan Pemecahan Masalah Matematis Peserta Didik Pada Materi Statistika. Mandalika Mathematics and Education Journal, 8, 324–335.
Murtafiah, W., Yunitasari, A., Gembong, S., Alvarez, J. I., & Yahya, F. H. (2024). Students’ Metacognition in Solving HOTS Questions in the Context of the Flag Ceremony Yard Based on Initial Mathematical Abilities. PYTHAGORAS Jurnal Pendidikan Matematika, 19(2), 179–193. https://doi.org/10.21831/pythagoras.v19i2.76120
Na’im, Z., & Mukhlis, M. (2024). Exploration of students ’ mathematical communication abilities. 11(1), 41–52.
Nafiati, D. A. (2021). Revisi taksonomi Bloom: Kognitif, afektif, dan psikomotorik. Humanika, 21(2), 151–172. https://doi.org/10.21831/hum.v21i2.29252
NCTM. (2000). Principles and Standars for School Mathematics. In Proceedings of the National Academy of Sciences (Vol. 3, Issue 1). http://dx.doi.org/10.1016/j.bpj.2015.06.056%0Ahttps://academic.oup.com/bioinformatics/article-abstract/34/13/2201/4852827%0Ainternal-pdf://semisupervised-3254828305/semisupervised.ppt%0Ahttp://dx.doi.org/10.1016/j.str.2013.02.005%0Ahttp://dx.doi.org/10.10
Novianti, E., & Hamdi, S. (2025). Efektivitas Kolaborasi Model Pembelajaran Problem Posing dan Problem Solving dalam Meningkatkan Kemampuan Pemecahan Masalah dan Self-Efficacy. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 14(3), 864–874.
OECD. (2023). PISA 2022 Results. In Factsheets: Vol. I. https://www.oecd-ilibrary.org/education/pisa-2022-results-volume-i_53f23881-en%0Ahttps://www.oecd.org/publication/pisa-2022-results/country-notes/germany-1a2cf137/
Polya, G. (1973). How to solve it (Vol. 91, Issue 5). Princeton University Press.
Purnomo, E. A., Sukestiyarno, Y. L., Junaedi, I., & Agoestanto, A. (2022). Analysis of Problem Solving Process on HOTS Test for Integral Calculus. Mathematics Teaching-Research Journal, 14(1), 199–214.
Purnomo, E. A., Sukestiyarno, Y. L., Junaedi, I., & Agoestanto, A. (2024). Stages of Problem-Solving in Answering HOTS-Based Questions in Differential Calculus Courses. Mathematics Teaching-Research Journal, 15(6), 116–145.
Qudwatullathifah, R. N., Ismuwardani, Z., Guntur, M., Musyarrofah, S., & Ningsih, N. I. S. (2023). Efektivitas Platform Pembelajaran Matematika Berbasis Digital Untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa Sekolah Dasar. Prima Magistra: Jurnal Ilmiah Kependidikan, 4(4), 590–599. https://doi.org/10.37478/jpm.v4i4.3225
Rachman, A. M., Suprayitno, I. J., & Prihaswati, M. (2026). Pengaruh Model Open Ended Berbantuan E-Modul Etnomatematika Tari Gambyong terhadap Kemampuan Pemecahan Masalah Siswa Kelas IX. Mandalika Mathematics and Education Journal, 8, 241–258.
Riyanti, N. F. (2025). The Effect of Problem-Based Learning Model on Mathematical Problem-. Kreano, Jurnal Matematika Kreatif-Inovatif, 16(1), 12–26.
Ruswanto, Dwijanto, & Widowati. (2018). Realistic Mathematics Education Model Includes Characteristic to Improve the Skill of Communication Mathematic. Unnes Journal of Mathematics Education Research, 7(5), 94–101.
Simamora, R. E., Saragih, S., & Hasratuddin, H. (2018). Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education, 14(1), 61–72. https://doi.org/10.12973/iejme/3966
Suryani, M., Jufri, L. H., & Putri, T. A. (2020). Analisis Kemampuan Pemecahan Masalah Siswa Berdasarkan Kemampuan Awal Matematika. Mosharafa: Jurnal Pendidikan Matematika, 9(1), 119–130. https://doi.org/10.31980/mosharafa.v9i1.605
Suryaningtyas, S., & Setyaningrum, W. (2020). Analisis Kemampuan Metakognitif Siswa SMA Kelas XI Program IPA dalam Pemecahan Masalah Matematika. Jurnal Riset Pendidikan Matematika, 7(1), 74–87. https://doi.org/10.21831/jrpm.v7i1.16049
Susanti, E., & Hartono. (2019). An Analysis Mathematical Problem Solving and Mathematical Critical Thinking Skills of Junior High School Students. Journal of Physics: Conference Series, 1320(1). https://doi.org/10.1088/1742-6596/1320/1/012071
Susilawati, E. (2022). Efektivitas Penggunaan Model Guided Discovery Learning Terhadap Kemampuan Pemecahan Masalah Geometri dengan Memanfaatkan Software Geogebra Pada Mahasiswa STKIP Budidaya Binjai. Jurnal Serunai Matematika, 14(1), 06–14. https://doi.org/10.37755/jsm.v14i1.556
Ukobizaba, F., Nizeyimana, G., & Mukuka, A. (2021). Assessment Strategies for Enhancing Students’ Mathematical Problem-solving Skills: A Review of Literature. Eurasia Journal of Mathematics, Science and Technology Education, 17(3), 1–10. https://doi.org/10.29333/ejmste/9728
Ulya, H., Sugiman, Rosnawati, R., & Retnawati, H. (2024). Technology-based learning interventions on mathematical problem-solving: a meta-analysis of research in Indonesia. International Journal of Evaluation and Research in Education , 13(1), 292–301. https://doi.org/10.11591/ijere.v13i1.26380
Wahab A, A., Kusuma, Y. S., Juandi, D., Turmudi, T., Buhaerah, B., & Syaiful, S. (2024). Understanding Students’ Struggles in Solving Mathematical Problems: A Systematic Literature Review Using Polya’s Framework. Jurnal Pendidikan Progresif, 14(3), 1728–1753. https://doi.org/10.23960/jpp.v14.i3.2024118
Wardhana, I. R., & Lutfianto, M. (2019). Analisis Kemampuan Komunikasi Matematis Siswa Ditinjau dari Self-Confidence. UNION: Jurnal Ilmiah Pendidikan Matematika, 6(2), 704–709. https://doi.org/10.30738/.v6i2.2213
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