PERBANDINGAN MODEL DISCOVERY LEARNING DENGAN PROBLEM BASED LEARNING TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA SISWA SMA
Abstrak
The Discovery Learning and Problem-Based Learning models each offer unique characteristics at every stage of learning, demonstrating their respective strengths through the process of solving mathematical problems involving exponential concepts. Research comparing these two models remains limited in scope, with a focus on providing an empirical contribution to students’ mathematical problem-solving abilities. This study aims to examine differences in the improvement of mathematical problem-solving skills between students learning through the Discovery Learning model and those learning through the Problem-Based Learning model. The study employs a quasi-experimental approach with a Nonequivalent Comparison Group design. The study population consists of all 75 tenth-grade high school students. Cluster random sampling was used to select two classes as the sample: Class XA and Class XB, each consisting of 25 students. The research instrument was a mathematics problem-solving ability test designed based on the indicators of understanding the problem, planning the solution, implementing strategies, and evaluating the results. Data analysis was conducted using descriptive and inferential statistics, specifically an ANOVA test. Prior to the inferential test, prerequisite tests—namely, normality and homogeneity tests—were performed to ensure the data’s suitability. The results of the study indicate that there was no significant difference in the improvement of mathematical problem-solving skills between the Discovery Learning class and the Problem-Based Learning class. These findings suggest that both models are equally effective in improving students’ mathematical problem-solving skills in the area of exponents.
Referensi
Abdul Haris, Muslim, Mutmainah, & A. A. A. (2026). Exploring Polya’s Problem-Solving Stages, Cognitive Components, and Role Change Dynamics in Mathematical Problem-Solving Discussions. Jurnal Pendidikan Progresif, 16(02), 910–930.
Adzahra, R. K., & Ramlah, R. (2025). Keunikan Variasi Kemampuan Pemecahan Masalah Matematis Materi Teorema Pythagoras Melalui Pendekatan Polya Pada Siswa SMP. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 5(2), 601–612. https://doi.org/10.51574/kognitif.v5i2.2902
Auliya, A. S., & Siswono, T. Y. E. (2021). Pengaruh Pembelajaran Creative Problem Solving Berbasis Aplikasi Maple Untuk Meningkatkan Kemampuan Berpikir Kreatif Siswa. Jurnal Penelitian Pendidikan Matematika Dan Sains, 5(1), 10. https://doi.org/10.26740/jppms.v5n1.p10-18
Daniel, T,. Sampotan, A,. & Polii, J. (2021). Penerapan Model Pembelajaran Problem Based Learning Untuk Meningkatkan Hasil Belajar. Jurnal Pendidikan Dan Profesi Keguruan, 2(3), 167–173.
Fakhruddin, Y. H., Nurjanah, & Martadiputra, B. (2025). The Impact of Problem-Based Learning on Mathematics Education: A Systematic Literature Review. EDUTEC : Journal of Education And Technology, 8(3), 310–324. https://doi.org/10.29062/edu.v8i3.1112
Gavilán-Izquierdo, J. M., Gallego-Sánchez, I., González, A., & Puertas, M. L. (2022). A New Tool for the Teaching of Graph Theory: Identification of Commognitive Conflicts. Mathematics Teaching-Research Journal, 14(2), 186–212.
Gustafsson, P. (2024). Productive Mathematical Whole-Class Discussions: a Mixed-Method Approach Exploring the Potential of Multiple-Choice Tasks Supported by a Classroom Response System. International Journal of Science and Mathematics Education, 22(4), 861–884. https://doi.org/10.1007/s10763-023-10402-w
Hanifah, M., & Indarini, E. (2021). Efektivitas Model Pembelajaran Discovery Learning dengan Model Problem Based Learning terhadap Kemampuan Pemecahan Masalah Siswa di Sekolah Dasar. Kurikulum 2013 Diharapkan Bisa Meningkatkan Kemampuan Pemecahan Masalah Dari Ranah Pengetahuan, Keterampilan Dan Sikap. Penelitian Ini Bertujuan Untuk Menganalisis Perbedaan Efektifitas Model Pembelajaran Discovery Learning Dengan Model Pembelajaran Probl, 5(4), 2571–2584.
Junengsih, J., & Sutirna, S. (2022). Analisis Kesulitan Siswa dalam Mengerjakan Soal pada materi Eksponen. Jurnal Ilmiah Dikdaya, 12(1), 28. https://doi.org/10.33087/dikdaya.v12i1.303
Kafillah, M., Firmansyah, D., & Lestari, K. E. (2025). Analisis Sistematis Analisis Sistematis Pengaruh Model Pembelajaran Berbasis Masalah terhadap Peningkatan Hasil Belajar Matematika Siswa SMP. Jurnal Cendekia : Jurnal Pendidikan Matematika, 9(2), 946–956. https://doi.org/10.31004/cendekia.v9i2.4110
Krisna Yana, P. S., Agustini, K., & Suartama, I. K. (2025). Penerapan Kombinasi Model Discovery Learning dengan Problem-Based Learning dalam Pembelajaran Abad 21. Cetta: Jurnal Ilmu Pendidikan, 8(3), 664–679. https://doi.org/10.37329/cetta.v8i3.4573
Lina, R. (2024). Kemampuan Pemecahan Masalah Matematis Siswa Kelas VIII Pada Materi Teorema Pythagoras Berdasarkan Self Efficacy. Jurnal Jendela Pendidikan, 04(04), 407–416. https://www.ejournal.jendelaedukasi.id/index.php/JJP/article/view/6
Lutfi, A., & Sari, A. A. I. (2025). Comparative Effectiveness of PBL, PjBL, and Discovery Learning in Pesantren: Controlling for IQ. Edumatica : Jurnal Pendidikan Matematika, 15(2), 213–226. https://doi.org/10.22437/edumatica.v15i2.45436
Machaba, F. M. (2026). Enhancing mathematics teaching through sociocultural pedagogy : An analysis of teacher questioning using Vygotsky ’ s framework. International Electronic Journal of Mathematics Education, 21(2).
Marisya, A & Sukma, E. (2020). Konsep Model Discovery Learning pada Pembelajaran Tematik Terpadu di Sekolah Dasar Menurut Pandangan Para Ahli. Jurnal Pendidikan, 4(3), 2189–2198. https://doi.org/https://doi.org/10.31004/jptam.v4i3.697
Nurlaili, V. D., Setyawati, M., Lailiyah, S., & Sulistyowati, Y. T. (2025). Analisis Berpikir Logis Siswa dalam Memecahkan Masalah Matematika Ditinjau dari Kemampuan Berpikir Analitis. JagoMIPA: Jurnal Pendidikan Matematika Dan IPA, 5(4), 1388–1399. https://doi.org/10.53299/jagomipa.v5i4.2766
Permatasari, B. I., Nurismiyati, N., & Rahadi, N. M. (2024). Penerapan Model Discovery learning pada Pembelajaran Matematika SMA pada Materi Kaidah Pencacahan. Nuansa Akademik: Jurnal Pembangunan Masyarakat, 10(1), 01–14. https://doi.org/10.47200/jnajpm.v10i1.2620
Ramadhani Lasdianto, J., Prasetyo Abadi, A., Keguruan dan Ilmu Pendidikan, F., Singaperbangsa Karawang Jl HSRonggo Waluyo, U., Timur, T., & Barat, J. (2023). Mathematical Problem Solving Ability of Junior High School Students Based on Math Anxiety. 14(1), 88–102.
Ramadhani, M. H., Kartono, & Haryani, S. (2023). The Effectiveness of the Discovery Learning Model Assisted by the Mathematics Learning Module on Mathematical Problem-Solving Skills. JPI (Jurnal Pendidikan Indonesia), 12(4), 741–752. https://doi.org/10.23887/jpiundiksha.v12i4.65284
Rosyadi, M., & Yuhana, Y. (2024). Pengembangan Instrumen Evaluasi Berbasis Kemampuan Pemecahan Masalah Pada Materi Eksponen Di Tingkat Sma. Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika Dan Statistika, 5(2), 1066–1073. https://doi.org/10.46306/lb.v5i2.647
Sakinah, N. I. N., Sari, A. A., Septiana, N. P. G. R., Herman, T., & Hasanah, A. (2024). Kemampuan Pemecahan Masalah Matematis Siswa pada Materi Relasi dan Fungsi Kelas VIII pada Salah Satu SMP Negeri di Bandung. Eksponen, 14(1), 1–11. https://doi.org/10.47637/eksponen.v14i1.975
Sanda, N., Yuanita, P., & Suanto, E. (2025). Penerapan Model Problem Based Learning untuk Meningkatkan Kemampuan Komunikasi Matematis Siswa Kelas VIII SMP Negeri 42 Pekanbaru. Jurnal Cendekia : Jurnal Pendidikan Matematika, 9(1), 325–338. https://doi.org/10.31004/cendekia.v9i1.3210
Sari, D. P., & Supiat, S. (2025). Analisis Kesalahan Siswa Menyelesaikan Masalah Matematika Berdasarkan Gender: Studi Kasus Siswa Perempuan Skor Tinggi. Jurnal Pendidikan Matematika Dan Sains, 13(1), 149–156. https://doi.org/10.21831/jpms.v13i1.84706
Sarumaha, W. F. (2023). Analisis Kemampuan Pemecahan Masalah Matematis Pada Materi Perpangkatan Dan Bentuk Akar Ditinjau Dari Minat Belajar Siswa Kelas Ix Di Smps Kristen Bnkp Telukdalam Ta. 2022/2023. Afore : Jurnal Pendidikan Matematika, 2(2), 12–26. https://doi.org/10.57094/afore.v2i2.1101
Septiarani, D., Darsono, D., & Yohanie, D. D. (2025). Penerapan Model Pembelajaran Discovery Learning pada Materi Trigonometri Siswa Kelas X SMK Negeri 3 Kediri. Jurnal Studi Guru Dan …, 8(2), 891–900. https://www.e-journal.my.id/jsgp/article/view/6144%0Ahttps://www.e-journal.my.id/jsgp/article/download/6144/4096
Sugiharti, A., Rahmawati, D., & Anwar, R. B. (2026). Trends in Mathematical Problem-Solving Skills in Mathematics Learning. 7(02), 188–201.
Tanjung, D. F., Syahputra, E., & Irvan, I. (2020). Problem Based Learning, Discovery Learning, and Open Ended Models: An experiment On Mathematical Problem Solving Ability. JTAM | Jurnal Teori Dan Aplikasi Matematika, 4(1), 9. https://doi.org/10.31764/jtam.v4i1.1736
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
Widyaningrum, A. C., & Suparni, S. (2023). Inovasi Pembelajaran Matematika Dengan Model Discovery Learning Pada Kurikulum Merdeka. Sepren, 4(02), 186–193. https://doi.org/10.36655/sepren.v4i02.887
Yustinaningrum, B., Fitri, A., & Juliana. (2022). Pengaruh Model Problem Based Learning Dan Discovery Learning Terhadap Kemampuan Pemecahan Masalah Siswa. UNION: Jurnal Ilmiah Pendidikan Matematika, 10(1), 15–26. https://doi.org/10.30738/union.v10i1.10080
Zainal, N. F. (2022). Problem Based Learning pada Pembelajaran Matematika di Sekolah Dasar/ Madrasah Ibtidaiyah. Research & Learning in Elementary Education, 6(3), 3584–3593.
