POLYA APPROACH IN PRACTICE: ANALYSIS OF PGMI STUDENTS' MATHEMATICS PROBLEM-SOLVING SKILLS

Authors

  • Putri Sekar Sari Universitas Islam Negeri Sunan Kaliijaga Yogyakarta
  • Sabarudin Universitas Islam Negeri Sunan Kalijaga Yogyakarta
  • Siti Annisah Institut Agama Islam Negeri Metro Lampung
  • Thusy Siti Reihani Institut Agama Islam Negeri Metro Lampung

DOI:

https://doi.org/10.31949/jcp.v11i1.11916

Abstract

Mathematical problem-solving ability is an important skill that every individual must have in learning mathematics. This research focuses on the practice of problem-solving based on the steps according to Polya. The aim is to describe the problem-solving skills of PGMI students in semester 3 of the 2024/2025 academic year and the obstacles they often face. This research is descriptive qualitative with purposive sampling technique and data collection methods through tests, interviews, observations, and documentation. The data will be analyzed using descriptive statistics, qualitative descriptive analysis, and content analysis. The results showed that the average student's problem-solving ability was 64% (high criteria). In detail, the average understanding of the problem reached 81% (very high), strategy planning 75% (high), plan execution 83% (very high), and re-examination only 0.4% (very low). The main obstacle that students often face is difficulty in understanding the problem, so they often make mistakes in planning and implementing solutions. In addition, students are also less careful in re-examining the answers that have been completed. The results of this study provide significance to improving the quality of mathematics learning in higher education, namely by designing more effective learning methods to improve students' problem-solving skills.

Keywords:

Mathematics, PGMI Students, Polya, Problem-Solving

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References

Ahmad, Akhsani, L., & Mohamed, Z. (2023). The Profile of Student’s Mathematical Representation Competence, Self Convidence, and Habits of Mind Through Problem-Based Learning Models. Infinity: Journal of Mathematics Education, 12(2). https://doi.org/https://doi.org/10.22460/infinity.v12i2.p323-338

Amaliyah, A. (2020). Pengaruh Model Pembelajaran Realistic Mathematics Education (RME) Terhadap Kemampuan Pemecahan Masalah Matematika. JTIEE: Journal of Teaching In Elementary Education, 4(2). https://doi.org/10.31980/caxra.v2i2.1982

Annisah, S. (2018). Pengembangan Bahan Ajar Matematika Materi Geometri untuk Meningkatkan Kemampuan Pemecahan Masalah Mahasiswa PGMI IAIN Metro. Al Ibtida: Jurnal Pendidikan Guru MI, 5(1). https://doi.org/10.24235/al.ibtida.snj.v5i1.2491

Annizar, A. M., Maulyda, M. A., Khairunnisa, G. F., & Hijriani, L. (2020). Kemampuan Pemecahan Masalah Matematis Siswa dalam Menyelesaikan Soal PISA pada Topik Geometri. Jurnal Elemen, 6(1). https://doi.org/10.29408/jel.v6i1.1688

Arrosyad, M. I., Wahyuni, E., Kirana, D., & Sartika, M. (2023). Analisis Faktor yang Mempengaruhi Rendahnya Hasil Belajar Siswa Sekolah Dasar dalam Penyelesaian Soal Cerita Matematika. Educativo: Jurnal Pendidikan, 2(1). https://doi.org/10.56248/educativo.v2i1.138

Atiyah, A., & Nuraeni, R. (2022). Kemampuan Berpikir Kreatif Matematis dan Self-confidence Ditinjau dari Kemandirian Belajar Siswa. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 1(1). https://doi.org/10.31980/powermathedu.v1i1.1920

Cahyani, H., & Setyawati, R. W. (2016). Pentingnya Peningkatan Kemampuan Pemecahan Masalah melalui PBL untuk Mempersiapkan Generasi Unggul Menghadapi MEA. Proceedings of the National Mathematics Seminar (PRISMA), 1(1). https://journal.unnes.ac.id/sju/prisma/article/view/21635

Cahyono, B. T. (2021). Pendidikan dan Pelatihan Calon Kepala Sekolah untuk Meningkatkan Mutu Pendidikan. Pascal Books.

Chacon-Castro, M., Buele, J., Lopez-Rueda, A. D., & Jadán-Guerrero, J. (2023). Polya’s Methodology for Strengthening Problem-Solving Skills in Differential Equations: A Case Study in Colombia. Computers, 12(11). https://doi.org/10.3390/computers12110239

Creswell, J. W., & Creswell, J. D. (2017). Research Design: Qualitative, Quantitative, and Mixed Methods Approaches. SAGE Publications.

Dewi, C. C., Prawiyogi, A. G., & Dewi, S. M. (2024). Analysis of Students’ Difficulties in Solve story Questions in Indonesian Language Subject in Primary Schools. Jurnal Cakrawala Pendas, 10(4). https://doi.org/10.31949/jcp.v10i4.10326

Febriana, R., Yusri, R., & Delyana, H. (2020). Modul Geometri Bangun Ruang Berbasis Problem Based Learning terhadap Kreativitas Pemecahan Masalah. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(1). https://doi.org/10.61132/arjuna.v2i1.521

Febrianti, A., & Wandini, R. R. (2024). Miskonsepsi Pemahaman Materi Bangun Datar dengan Penerapan Teori Polya di PGMI 3 UIN Sumatera Utara. Perspektif: Jurnal Pendidikan Dan Ilmu Bahasa, 2(1), 73_78. https://doi.org/10.61132/arjuna.v2i1.521

Hayati, R., Kartika, Y., & Karim, A. (2025). Pembelajaran Matematika Modern: Teknologi Gamifikasi dan RME dalam Mengasah Kemampuan Pemecahan Masalah. Journal on Education, 07(02). https://doi.org/10.31004/joe.v7i2.7923

Hermawati, H., Jumroh, J., & Sari, E. F. P. (2021). Analisis Kemampuan Pemecahan Masalah Matematis pada Materi Kubus dan Balok di SMP. Mosharafa: Jurnal Pendidikan Matematika, 10(1). https://doi.org/10.31980/mosharafa.v10i1.874

Hidayat, R., Siregar, E. Y., & Elindra, R. (2022). Analisis Faktor-Faktor Rendahnya Kemampuan Pemecahan Masalah Matematis Siswa di SMK Swasta Taruna Padangsidimpuan. MathEdu (Mathematic Education Journal), 5(3. http://journal.ipts.ac.id/index.php/

Hidayat, W., & Husnussalam, H. (2019). The Adversity Quotient and Mathematical Understanding Ability of Pre-service Mathematics Teacher. Journal of Physics: Conference Series, 1315(1). https://doi.org/10.1088/1742-6596/1315/1/012025

Iilonga, H. K., & Ogbonnaya, U. I. (2023). Grade 10 Namibian Learners’ Problem-Solving Skills in Algebraic Word Problems. Infinity Journal, 12(2), 275–290. https://doi.org/10.22460/infinity.v12i2.p275-290

Isnaini, N., Ahied, M., Qomaria, N., & Munawaroh, F. (2021). Kemampuan Pemecahan Masalah Berdasarkan Teori Polya Pada Siswa Kelas Viii Smp Ditinjau Dari Gender. Natural Science Education Research, 4(1). https://doi.org/10.21107/nser.v4i1.8489

Kalaka, F. R. S., Huljannah, M., & Bakari, A. (2024). Deskripsi Kemampuan Literasi Matematika Mahasiswa PGMI. Journal Numeracy, 11(1). https://doi.org/10.46244/numeracy.v11i1.2642

Kariadinata, R. (2021). Students’ Reflective Abstraction Ability on Linear Algebra Problem Solving and Relationship With Prerequisite Knowledge. Infinity Journal, 10(1). https://doi.org/10.22460/infinity.v10i1.p1-16

Lee, C. I. (2017). An Appropriate Prompts System Based on the Polya Method for Mathematical Problem-Solving. Eurasia Journal of Mathematics, Science and Technology Education, 13(3). https://doi.org/10.12973/eurasia.2017.00649a

Lidinillah, D. A. M., Rahman, Wahyudin, & Aryanto, S. (2022). Integrating Sundanese Ethnomathematics Into Mathematics Curriculum and Teaching: a Systematic Review From 2013 To 2020. Infinity Journal, 11(1). https://doi.org/10.22460/infinity.v11i1.p33-54

Lutfiya, L., Sumardi, H., & Siagian, T. A. (2021). Analisis Kemampuan Pemecahan Masalah Matematika Siswa SMP Berdasarkan Langkah Penyelesaian Polya. LINEAR: Journal of Mathematics Education, 2(2). https://doi.org/10.32332/linear.v2i2.3738

Maharani, S., Kholid, M. N., NicoPradana, L., & Nusantara, T. (2019). Problem Solving in the Context of Computational Thinking. Infinty: Journal of Mathematics Education, 8(2). https://doi.org/10.22460/infinity.v8i2.p109-116

Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative Data Analysis: A Methods Sourcebooks. SAGE Publications.

Muslim, M., Nusantara, T., Sudirman, S., & Irawati, S. (2024). The Causes of Changes in Student Positioning in Group Discussions Using Polya’s Problem-Solving and Commognitive Approaches. Eurasia Journal of Mathematics, Science and Technology Education, 20(9), em2506. https://doi.org/10.29333/ejmste/15148

Nurfitriyanti, M. (2016). Model PembelajaranProject Based Learning terhadap Kemampuan Pemecahan Masalah Matematika. Jurnal Formatif, 6(2). http://dx.doi.org/10.30998/formatif.v6i2.950

Nurmilawati, M., Modok, S. G., & Budiretnani, D. A. (2021). Profil Keterampilan Pemecahan Masalah Siswa Sekolah Menengah Atas Berdasarkan Greenstein pada Materi Ekosistem. Sinkesjar. https://doi.org/10.29407/seinkesjar.v1i1.1294

Oktaviana, D., & Haryadi, R. (2020). Pengaruh Model Pembelajaran Problem Based Learning (PBL) Terhadap Kemampuan Pemecahan Masalah Mahasiswa. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(4). https://doi.org/10.24127/ajpm.v9i4.3069

Prayitno, S. (2019). Evaluasi Pembelajaran Matematika. Dita Pustaka Ilmu.

Rahman, Z. H., & Setyaningsih, R. (2022). Meningkatkan Kemampuan Pemecahan Masalah Siswa Melalui Pendekatan Realistic Mathematics Education. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(2). https://doi.org/10.24127/ajpm.v11i2.5139

Rosdianah, R., Kartinah, K., & Muhtarom, M. (2019). Analisis Faktor Penyebab Kesulitan Belajar Matematika pada Materi Garis dan Sudut Kelas VII Sekolah Menengah Pertama. Imajiner: Jurnal Matematika Dan Pendidikan Matematika, 1(5). https://doi.org/10.26877/imajiner.v1i5.4458

Rosyada, T. A., Sari, Y., & Cahyaningtyas, A. P. (2019). Pengaruh Model Pembelajaran Realistic Mathematics Education (RME) terhadap Kemampuan Pemecahan Masalah Matematika Siswa Kelas V. Jurnal Ilmiah Pendidikan Dasar, 6(2). https://doi.org/10.30659/pendas.6.2.116-23

Ruqoyyah, S., Murni, S., & Linda, L. (2020). Kemampuan Pemahaman Konsep dan Resiliensi Matematika dengan VBA Microsoft Excel. CV. Tre Alea Jacta Pedagogie.

Sam, H. N., & Qohar, A. (2016). Pembelajaran Berbasis Masalah Berdasarkan Langkah-Langkah Polya untuk Meningkatkan Kemampuan Menyelesaikan Soal Cerita Matematika. Kreano, Jurnal Matematika Kreatif-Inovatif, 6(2). https://doi.org/10.15294/kreano.v6i2.5188

Samo, D. D. (2017). Kemampuan Pemecahan Masalah Matematika Mahasiswa Tahun Pertama dalam Memecahkan Masalah Geometri Konteks Budaya. Jurnal Riset Pendidikan Matematika, 4(2). https://doi.org/10.21831/jrpm.v4i2.13470

Satriani, S., & Wahyuddin, W. (2018). Implementasi Model Pembelajaran Creative Problem Solving (CPS) untuk Meningkatkan Kemampuan Pemecahan Masalah Mahasiswa. Jurnal Derivat, 5(1). https://doi.org/https://doi.org/10.31316/j.derivat.v5i1.149

Soesanto, R. H., & Dirgantoro, K. P. S. (2021). Kemampuan Pemecahan Masalah Mahasiswa pada Kalkulus Integral Dilihat dari Keyakinan dan Pengetahuan Awal Matematis. Jurnal Elemen, 7(1). https://doi.org/10.29408/jel.v7i1.2899

Suanto, E., Ginting, T. T. E., & Kartini, K. (2023). Pengembangan Perangkat Pembelajaran dengan Pendekatan Realistic Mathematics Education Untuk Memfasilitasi Kemampuan Pemahaman Matematis Siswa. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(2). https://doi.org/10.24127/ajpm.v12i2.6506

Suparatulatorn, R., Jun-On, N., Hong, Y. Y., Intaros, P., & Suwannaut, S. (2023). Exploring Problem-Solving Through the Intervention of Technology and Realistic Mathematics Education in the Calculus Content Course. Journal on Mathematics Education, 14(1). https://doi.org/10.22342/JME.V14I1.PP103-128

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). https://doi.org/10.21831/jrpm.v7i1.16049

Syahriza, D. M., Ermiana, I., & Fauzi, A. (2023). Pengaruh Pendekatan Realistic Mathematic Education terhadap Hasil dan Aktivitas Belajar Matematika Siswa Sekolah Dasar. Journal of Classroom Action Research, 5(3). https://doi.org/10.36989/didaktik.v8i2.611

Tias, A. A. W., & Wutsqa, D. U. (2015). Analisis Kesulitan Siswa SMA dalam Pemecahan Masalah Matematika Kelas XII IPA di Kota Yogyakarta. Jurnal Riset Pendidikan Matematika, 2(1). https://doi.org/10.21831/jrpm.v2i1.7148

Turkoglu, H., & Yalcınalp, S. (2024). Investigating Problem-Solving Behaviours of University Students Through an Eye-Tracking System Using GeoGebra in Geometry: A Case Study. In Education and Information Technologies (Vol. 29, Issue 12). Springer US. https://doi.org/10.1007/s10639-024-12452-1

Ulva, E. (2018). Profil Kemampuan Berpikir Kritis Matematis Siswa SMP Negeri Pada Materi Sistem Persamaan Linier Dua Variabel (SPLDV). Jurnal Pendidikan Tambusai, 2(5), 944–952.

Waluyo, E., Supiyati, S., & Halqi, M. (2020). Mengembangkan Perangkat Pembelajaran Kalkulus Integral Berbasis Model Pengajuan dan Pemecahan Masalah untuk Meningkatkan Kemampuan Berpikir Kreatif Mahasiswa. Jurnal Elemen, 6(2). https://doi.org/10.29408/jel.v6i2.2334

Widana, I. W. (2021). Realistic Mathematics Education (RME) untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa di Indonesia. Jurnal Elemen, 7(2). https://doi.org/10.29408/jel.v7i2.3744

Yuwono, T., Supanggih, M., & Ferdiani, R. D. (2018). Analisis Kemampuan Pemecahan Masalah Matematika dalam Menyelesaikan Soal Cerita Berdasarkan Prosedur Polya. Jurnal Tadris Matematika, 1(2). https://doi.org/10.21274/jtm.2018.1.2.137-144

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Published

2025-01-21

How to Cite

Sari, P. S., Sabarudin, Siti Annisah, & Thusy Siti Reihani. (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

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