Konstruksi Kemampuan Pemecahan Masalah Matematis Mahasiswa Calon Guru Sekolah Dasar melalui Problem Based Learning dalam Pembelajaran Matematika Lanjut
DOI:
https://doi.org/10.53299/jagomipa.v6i2.4318Keywords:
pemecahan masalah matematis, Problem Based Learning, Matematika LanjutAbstract
Penelitian ini bertujuan menganalisis konstruksi kemampuan pemecahan masalah matematis mahasiswa melalui implementasi model Problem Based Learning (PBL) dalam pembelajaran Matematika Lanjut. Desain penelitian yang digunakan adalah kuasi-eksperimen tipe Non-Equivalent Control Group Design dengan melibatkan 60 mahasiswa yang memprogramkan mata kuliah Matematika Lanjut yang terbagi menjadi kelas eksperimen (n=30) dan kelas kontrol (n=30). Instrumen pengumpulan data berupa tes kemampuan pemecahan masalah matematis berbasis indikator Polya yang telah divalidasi secara konten dan konstruk. Analisis data dilakukan melalui uji normalitas Shapiro-Wilk, uji homogenitas Levene, uji-t independen, N-Gain ternormalisasi, dan effect size Cohen's d. Hasil penelitian menunjukkan bahwa kelas eksperimen memperoleh rerata posttest 82,13 dibandingkan kelas kontrol sebesar 67,47, dengan nilai signifikansi uji-t sebesar 0,000 (p < 0,05). Analisis N-Gain menghasilkan nilai 0,71 (kategori tinggi) pada kelas eksperimen dan 0,42 (kategori sedang) pada kelas kontrol. Effect size Cohen's d sebesar 1,34 mengindikasikan dampak perlakuan yang sangat besar. Temuan ini menegaskan bahwa model PBL secara signifikan meningkatkan kemampuan pemecahan masalah matematis mahasiswa dalam pembelajaran Matematika Lanjut.
References
Anderson, L. W., & Krathwohl, D. R. (2020). A taxonomy for learning, teaching, and assessing: A revision of Bloom's taxonomy of educational objectives. Longman.
Arends, R. I. (2020). Learning to teach (11th ed.). McGraw-Hill Education.
Artigue, M. (2022). Didactical engineering in mathematics: A French tradition and its contemporary relevance. ZDM Mathematics Education, 54(3), 427–441.
Barrows, H. S., & Tamblyn, R. M. (2020). Problem-based learning: An approach to medical education (3rd ed.). Springer.
Bransford, J. D., Brown, A. L., & Cocking, R. R. (2020). How people learn: Brain, mind, experience, and school. National Academy Press.
Creswell, J. W., & Creswell, J. D. (2021). Research design: Qualitative, quantitative, and mixed methods approaches (5th ed.). SAGE Publications.
Deci, E. L., & Ryan, R. M. (2021). Intrinsic motivation and self-determination in human behavior (2nd ed.). Springer.
Hmelo-Silver, C. E., Duncan, R. G., & Chinn, C. A. (2020). Scaffolding and achievement in problem-based and inquiry learning. Educational Psychologist, 42(2), 99–107.
Johnson, D. W., & Johnson, R. T. (2020). Cooperative learning: The foundation for active learning. IntechOpen.
Jonassen, D. H. (2021). Learning to solve problems: A handbook for designing problem-solving learning environments. Routledge.
Kemendikbudristek. (2023). Laporan hasil asesmen nasional 2023: Profil kompetensi mahasiswa pendidikan matematika. Pusat Asesmen Pendidikan.
Lesh, R., & Zawojewski, J. (2021). Problem solving and modeling. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 763–804). NCTM.
Nunnally, J. C., & Bernstein, I. H. (2020). Psychometric theory (4th ed.). McGraw-Hill.
OECD. (2022). PISA 2022 results: Factsheets Indonesia. OECD Publishing.
Piaget, J. (2020). The construction of reality in the child (Classic ed.). Routledge.
Polya, G. (2020). How to solve it: A new aspect of mathematical method (3rd ed.). Princeton University Press.
Savery, J. R. (2020). Overview of problem-based learning: Definitions and distinctions. Interdisciplinary Journal of Problem-Based Learning, 14(1), 1–20.
Schmidt, H. G., Rotgans, J. I., & Yew, E. H. J. (2021). The process of problem-based learning: What works and why. Medical Education, 45(8), 792–806.
Schoenfeld, A. H. (2021). Mathematical problem solving (2nd ed.). Academic Press.
Shadish, W. R., Cook, T. D., & Campbell, D. T. (2020). Experimental and quasi-experimental designs for generalized causal inference (2nd ed.). Houghton Mifflin.
Tall, D. (2021). How humans learn to think mathematically: Exploring the three worlds of mathematics. Cambridge University Press.
Vygotsky, L. S. (2019). Mind in society: Development of higher psychological processes (Classic ed.). Harvard University Press.
Wood, D., Bruner, J. S., & Ross, G. (2021). The role of tutoring in problem solving. Journal of Child Psychology and Psychiatry, 17(2), 89–100.
Zandieh, M. (2020). A theoretical framework for analyzing student understanding of the concept of derivative. CBMS Issues in Mathematics Education, 8, 103–127.
Zimmerman, B. J. (2020). Becoming a self-regulated learner: An overview. Theory Into Practice, 41(2), 64–70.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 JagoMIPA: Jurnal Pendidikan Matematika dan IPA
This work is licensed under a Creative Commons Attribution 4.0 International License.
