Characteristics of Problem Solving Ability of Students in Integer Operation Material

https://doi.org/10.51574/kognitif.v6i3.5645

Authors

Keywords:

Integer Operations, Qualitative Approach, Problem-Solving Skills, Polya's Stages

Abstract

Problem-solving skills have a close relationship with real life and can be used to deal with everyday life. The problems faced by students in one of the Private Junior High Schools in Metro City, specifically grade VII, have diverse problem-solving skills. This study aims to analyze students' problem-solving abilities in analyzing problems using the polya  stage with NCTM indicators, namely understanding problems, designing strategies, solving problems, and reviewing solutions. This study uses a descriptive qualitative approach through purposive sampling techniques. A total of 17 students, 7 students were selected as research subjects based on the criteria of the results of the test description of problem-solving abilities in integer operation material. The category of students' abilities is determined based on the number of polya problem-solving stages that are met. The research instrument was in the form of a test of problem-solving ability on integer operation materials and semi-structured interviews. Data analysis is carried out through data reduction, data presentation, and drawing conclusions. The results of this study show a difference, namely students with high abilities are able to meet all three stages of problem-solving ability, although they have not been completely completed in all aspects, especially in re-examination. Subjects with moderate ability are able to understand the problem and formulate strategies even though the strategies used are not clear, complete the plan and do not write conclusions in the final stage as a re-examination of the solution, while the low category has difficulties from the stage of understanding the problem to the final stage. These findings imply the need for learning that is tailored to the category of students, starting from strengthening the stages of re-examination in high students, consistency in the implementation of plans in medium students to understanding problems in low students.

Downloads

Download data is not yet available.

Author Biographies

Runinda Silviana, Mathematics Education Study Program, Faculty of Teacher Training and Education, University of Muhammadiyah Metro

Mathematics Education Study Program, Faculty of Teacher Training and Education, University of Muhammadiyah Metro

Dwi Rahmawati, Mathematics Education Study Program, Faculty of Teacher Training and Education, University of Muhammadiyah Metro

Mathematics Education Study Program, Faculty of Teacher Training and Education, University of Muhammadiyah Metro

Rina Agustina, Mathematics Education Study Program, Faculty of Teacher Training and Education, University of Muhammadiyah Metro

Mathematics Education Study Program, Faculty of Teacher Training and Education, University of Muhammadiyah Metro

References

A., Jamiah. Y., & H. H. (2023). Kesulitan siswa dalam menyelesaikan soal pemahaman konsep matematis pada materi persamaan kuadrat kelas ix smp 123. Jurnal AlphaEuclidEdu, 4(1), 74–85. https://doi.org/10.26418/ja.v4i1.66556

Aini, N. N., & Rosyidi, A. H. (2023). Kemampuan Pemecahan Masalah Siswa Berdasarkan Teori Polya pada Pembelajaran Problem Based Learning Materi Statistika. Jurnal Math-Umb.Edu, 11(1), 28–41. https://doi.org/10.36085/mathumbedu.v11i1.5650

Alifiana, V. D., Lestari, W., & Zairozie, A. Z. (2025). Analisis kemampuan pemahaman konsep matematis ditinjau dari konsentrasi belajar siswa SMA. Delta-Pi: Jurnal Matematika Dan Pendidikan Matematika, 14(1), 40–52. https://doi.org/10.33387/dpi.v14i1.9981

Amila, A., Ati, L., & Hakim, D. L. (2023). Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMP Pada Materi Bilangan Bulat Dan Pecahan. Jurnal Didactical Mathematics, 5, 471–484. https://doi.org/10.31949/dm.v5i2.6381

Febriyanti, S. D., & Ariyanto, L. (2024). Analisis Kemampuan Komunikasi Matematis Dalam Pemecahan Masalah Matematika Materi Fungsi Kuadrat pada Siswa Kelas IX SMP Negeri 6 Semarang. Jurnal Karya Pendidikan Matematika, 11(2), 77–85. https://doi.org/10.26714/jkpm.11.2.2024.77-85

Hadi, M. S., & Sari, R. A. (2024). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Pada Materi Baisan dan Deret Aritmatika. Inovatif:Jurnal Penelitian Pendidikan Agama Dan Keudayaan, 10(2), 269–281. https://doi.org/10.55148/inovatif.v10i2.984

Hafizah, N., Widiati, I., Herlina, S., & Wahyuni, R. (2025). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Berbasis Education for Sustainable Development ( ESD ) pada Materi Aritmetika Sosial Kelas VII SMP. Jurnal Cendikia : Jurnal Pendidikan Matematika, 09(113), 1473–1483. https://doi.org/10.31004/cendekia.v9i3.4358

Hakim, D. L. (2019). Komunikasi Matematis Siswa Dalam Materi Matematika Sekolah. Prosiding Seminar Nasional Matematika Pendidikan Mtematika, 2000, 1183–1192. https://journal.unsika.ac.id/index.php/sesiomadika/article/view/2953

Hamapinda, E., Ngaba, A. L., Tamu, Y., Nuhamara, I., Studi, P., Matematika, P., Kristen, U., & Wacana, W. (2021). Analisis Kemampuan Pemecahan Masalah Matematika Siswa Kelas VII pada Materi Operasi Bilangan Bulat. Edumatica: Jurnal Pendidikan Matematika, 11(2). https://doi.org/10.22437/edumatica.v11i02.12210

Hermawati, Jumroh, dan E. P. S. (2021). Analisis Kemampuan Pemecahan Masalah Matematis pada Materi Kubus dan Balok di SMP. Musharafa : Jurnal Pendidikan Matematika, 10, 141–152. https://doi.org/10.31980/mosharafa.v10i1.648

Lasdianto, R. J., Haerudin, & Abadi, A. P. (2023). Kemampuan Pemecahan Masalah Matematis Siswa SMP Berdasarkan Kecemasan Matematika. Jurnal Pendidikan Matematika, 14(1), 88–102. https://doi.org/10.36709/jpm.v14i1.17

Lidu, M., Simarmata, J. E.,& Delvion, E. B. S. (2023). Analisis minat belajar siswa pada pembelajaran matematika berbantuan aplikasi geogebra. Jurnal Penelitian Pembelajaran Matematika Sekolah (JP2MS), 7(3), 395–402. https://doi.org/10.33369/jp2ms.7.3.395-402

Mauleto, K. (2019). Analisis Kemampuan Pemecahan Masalah Ditinjau dari Indikator NCTM dan Aspek Berpikir Kritis Matematis Siswa di Kelas 7B SMP Kanisius Kalasan. Jurnal Ilmiah Pendidikan Matematika, 4(2), 125–134. https://doi.org/10.26877/jipmat.v4i2.4261

Mutilawati, E., Nurcahyo, N. A., & Balkist, P. S. Analisis Kemampuan Pemecahan Masalah Matematis Menggunakan Soal Pisa Ditinjau dari Motivasi Belajar Siswa.Jurnal Educatio, 10(4), 1071-1083. https://doi.org/10.31949/educatio.v10i4.8662

Nafisah, Z. (2022). Penerapan Metode Buzz Group dalam Upaya Peningkatan Hasil Belajar Matematika yang Memuat Operasi Hitung Bilangan Bulat dan Pecahan Pada Siswa Kelas VII-A Semester 1 SMP Negeri 2 Campurdarat Tulungagung Tahun Pelajaran 2019 / 2020. Jurnal Terapan Pendidikan Dasar Dan Menengah, 2(c), 38–45. https://doi.org/10.28926/jtpdm.v2i1.310

(NCTM), N. C. of T. of M. (2000). Principles and Standards for School Mathematics. NCTM.

Nofita Damayanti, K. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMA pada Materi Barisan dan Deret Geometri Mosharafa : Jurnal Pendidikan Matematika Mosharafa : Jurnal Pendidikan Matematika. Mosharafa : Jurnal Pendidikan Matematika, 11, 107–118. https://doi.org/10.31980/mosharafa.v11i1.691

Nr, Y. D., Angraini, L.M., Wahyuni, A., & Wahyuni, P. (2026). Students’ Mathematical Problem-Solving Ability in Solving Quadratic Function Problems. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 6(May), 486–497. https://doi.org/10.51574/kognitif.v6i2.5043

Nuriavani, D., Rahmawati, D., & Agustina, R. (2024). Efektivitas Strategi Pembelajaran Scaffolding Terhadap Kemampuan Pemecahan Masalah Matematika. EMTEKA: Jurnal Pendidikan Matematika, 5(2), 656–666. https://doi.org/10.24127/emteka.v5i2.5326

Padilla, A., Mey, W., Munthe, L., & Aditiya, W. (2024). Analisis Penyebab Rendahnya Hasil Belajar Siswa Pembelajaran PPKn Materi Gotong Royong Kelas IV Sekolah Dasar. Jurnal Basicedu, 8(2), 1625–1633. https://doi.org/10.31004/basicedu.v8i2.7364

Pratiwi, N. A. (2020). Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMP Melalui Soal Tes Pada Materi Persamaan Linear Satu Variabel. Prosiding Seminar Nasional Matematika Pendidikan Mtematika, 200–207. https://journal.unsika.ac.id/index.php/sesiomadika/article/view/2391

Putri, A. A., Juandy, D., & Indonesia, U. P. (2022). Symmetry | Pasundan Journal of Research in Mathematics Learning and Education. Pasundan Journal of Researcg in Mathematics Learning and Education, 7, 135–147. https://doi.org/10.23969/symmetry.v7i2.6493

Polya (2004). How to solve it:A new aspect of mathematical method. Princeton University Press

Rio, M., & Pujiastuti, H. (2020). Analisis Kemampuan Pemecahan Masalah Matematik Siswa SMP Pada Materi Bilangan Bulat 1. AKSIOMA:Jurnal Matematika Dan Pendidikan Matematika, 11(1), 70–81. https://doi.org/10.26877/aks.v11i1.6105

Sagala, P. R. B., Sitanggang, S., Maharani, S., Saragih, S. R. D., & Manalu, I. R.I. (2024). Analisis Kemampuan Pemecahan Masalah Matematika Siswa Pada Materi Bangun Ruang. Jurnal Basicedu, 8(4), 3075-3084. https://doi.org/10.31004/basicedu.v8i4.8492

Safarudin, R., Kustati, M., & Sepriyanti, N. (2023). Penelitian Kualitatif. INNOVATIVE:Journal Of Social Sciene Research, 3, 9680–9694. https://j-innovative.org/index.php/Innovative/article/view/1536

Sagita, D. K., Ermawati, D., & Riswari, L. A. (2023). Kemampuan Pemecahan Masalah Matematis Siswa Sekolah Dasar. Jurnal Educatio, 9(2), 431–439. https://doi.org/10.31949/educatio.v9i2.4609

Salsabila, N. H., & Kurniati, N. (2022). Kemampuan Pemecahan Masalah Matematika Ditinjau dari Disposisi Matematis Siswa Kelas VIII SMPN 24 Mataram Pada Materi Persamaan Garis Lurus Tahun Ajaran 2021 / 2022. Jurnal Ilmiah Profesi Pendidikan. https://doi.org/10.29303/jipp.v7i3b.820

Sasih, S. S., Soeprianto, H., & Prayitno, S. (2022). Analisis Kemampuan Pemecahan Masalah Berdasarkan Tingkat Kemampuan Matematika. Mandalika Mathematics and Education Journal, 4, 80–89. https://doi.org/10.29303/jm.v4i2.1561

Setiana, N. P., Fitriani, N., & Amelia, R. (2021). Analisis Kemampuan Pemecaahan Masalah Matematis Siswa SMA Pada Materi Trigonometri Berdasarkan Kemampuan Awal Matematis Siswa. JPMI Jurnal Pembelajaran Matematika Inovatif, 4(4), 899–910. https://doi.org/10.22460/jpmi.v4i4.899-910

Siswanto, E. (2024). Kemampuan Pemecahan Masalah pada Pembelajaran Matematika : Systematic Literature Review. JRPMS: (Jurnal Riset Pembelajaran Matematika Sekolah), 8, 45–59. https://doi.org/10.21009/jrpms.081.06

Suartania, G. A. K. P., Pujawan, G. N., & Parwati, N. N. (2026). Eksplorasi Kemampuan Pemecahan Masalah Matematis Siswa SMP Kelas VIII Ditinjau dari Kemampuan Awal Matematika. Jurnal Edukasi Matematika dan Sains, 15(2), 514-525. https://doi.org/10.59672/emasains.v15i2.6405

Sugiyarto, A., Andinny, Y., & Apriyanto, M. T. (2025). Analisis Kemampuan Pemecahan Masalah Matematika pada Materi Operasi Bilangan Bulat Kelas VII SMP Negeri 180 Jakarta. HIMPUNAN:Jurnal Ilmiah Mahasiswa Pendidikan Matematika, 5, 254–266. https://doi.org/10.30998/z2f3b389

Sugiyono. (2022). Metode Penelitian Kuantitatif Kualitatif dan R&D. Bandung: Alfabeta

Undari Sulung, M. M. (2024). Memahami Sumber Data Penelitian : Primer, Sekunder, Dan Tersier. Jurnal Edu Research Indonesia Institute For Corporate Learning Ans Studies (IICLS), 5(9), 110–116. https://doi.org/10.47827/jer.v5i3.238

Usman, P. M., Tintis, I., Faik, E., & Nihayah, K. (2022). Analisis Kemampuan Pemecahan Masalah Matematika Siswa dalam Menyelesaikan Sistem Persamaan Linear Tiga Variabel. Jurnal Basicedu, 6(1), 664–674. https://doi.org/10.31004/basicedu.v6i1.1990

Downloads

Published

2026-08-19

How to Cite

Silviana, R., Rahmawati, D., & Agustina, R. (2026). Characteristics of Problem Solving Ability of Students in Integer Operation Material. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 6(3), 1221–1241. https://doi.org/10.51574/kognitif.v6i3.5645