PENGENALAN Pengenalan Pembuktian Matematika untuk Siswa: Membangun Dasar Logika dan Pemahaman
DOI:
https://doi.org/10.55606/jurrimipa.v4i3.7264Keywords:
Conceptual Understanding, Independent Curriculum, Logical Reasoning, Mathematical Proof, Mathematical ReasoningAbstract
This study aims to analyze the role and strategies of introducing mathematical proofs appropriately for students, as well as to describe their contribution to enhancing logical, critical thinking, and understanding of mathematical concepts. The method used is library research with a descriptive qualitative approach through the analysis of various current scientific literature relevant to mathematics learning and education. The results of the study indicate that mathematical proofs not only function as a tool for verifying the truth of a statement but also as an epistemological process that develops deductive, argumentative, and reflective reasoning skills in understanding the structure and relationships of mathematical logic. Effective introduction strategies include the use of visual representations, collaborative learning, linguistic scaffolding, and the application of a gradual approach from informal argumentation to formal deduction. The approach has been proven to enhance students conceptual understanding, argumentative skills, and logical awareness. The implication is that proofs need to be systematically integrated into mathematics learning in secondary schools to strengthen Higher Order Thinking Skills (HOTS) and develop a scientific mindset in accordance with the principles of the Merdeka Curriculum
Downloads
References
Khafidah, A. N. (2025). Metode dan strategi mengembangkan kemampuan pembuktian matematis pada pendidikan khusus sekolah menengah. J-PiMat: Jurnal Pendidikan Matematika, 7(1), 1649–1660. https://doi.org/10.31932/j-pimat.v7i1.4661
Knuth, E. J., & Choppin, J. (2017). Connecting reasoning and proving across the mathematics curriculum. ZDM Mathematics Education, 49(6), 951–963. https://doi.org/10.1007/s11858-017-0860-x
Krippendorff, K. (2018). Content analysis: An introduction to its methodology. Sage Publications. https://doi.org/10.4135/9781071878781
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. Sage Publications.
Moleong, L. J. (2019). Metodologi penelitian kualitatif. Remaja Rosdakarya.
Nadlifah, M. (2019). Profil kemampuan pembuktian matematis mahasiswa ditinjau dari gaya kognitif reflektif dan impulsif (Tesis Magister, Universitas Pendidikan Indonesia).
Nazir, M. (2014). Metode penelitian. Ghalia Indonesia.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. NCTM.
OECD. (2019). OECD Learning Compass 2030: Future of education and skills. OECD Publishing.
OECD. (2019). PISA 2018 results: What students know and can do. OECD Publishing. https://doi.org/10.1787/5f07c754-en
OECD. (2019). PISA 2018 results (Vol. 2). OECD Publishing. https://doi.org/10.1787/b5fd1b8f-en
OECD. (2019). PISA 2018 results (Vol. 3). OECD Publishing. https://doi.org/10.1787/acd78851-en
OECD. (2019). PISA 2018 assessment and analytical framework. OECD Publishing. https://doi.org/10.1787/1da50379-de
Piaget, J. (1972). The psychology of the child. Basic Books.
Poulsen, S., Gertner, Y., Cosman, B., West, M., & Herman, G. L. (2022). Efficiency of learning from proof blocks versus writing proofs: A randomized trial. arXiv Preprint. https://doi.org/10.1145/3545945.3569797
Rahman, A. A., & Yunita, A. (2018). Penerapan model PACE untuk meningkatkan kemampuan pembuktian matematika siswa di kelas VII SMP materi geometri. MAJU: Jurnal Ilmiah Pendidikan Matematika, 5(1), 12–21.
Rif'at, M., Sudiansyah, S., & Peterianus, S. (2022). Developing of doing proof for school mathematics through teaching and learning. Al-Jabar: Journal of Mathematics Education, 13(2), 483–495. https://doi.org/10.24042/ajpm.v13i2.23566
Soedjadi, R. (2000). Kiat pendidikan matematika di Indonesia. Depdiknas.
Stylianides, G. J. (2007). Proof and proving in school mathematics. Mathematical Thinking and Learning, 9(3), 289–321.
Stylianides, G. J. (2009). Reasoning and proving in school mathematics textbooks. In Mathematical thinking and learning (Vol. 11, Issue 4, pp. 258–288). https://doi.org/10.4324/9780203882009-14
Stylianides, G. J., et al. (2023). Proof and proving in school and university mathematics education research: A systematic review. ZDM – Mathematics Education, 56(1), 47–59. https://doi.org/10.1007/s11858-023-01518-y
Sugiyono. (2012). Metode penelitian kualitatif, kuantitatif, dan R&D. Alfabeta.
Syechah, B. N., Bardayanti, D. S., Putri, D. E., Suyono, F., Wardhana, I. G. A. W., Awalushaumi, L., & Bahri, S. (2024). Pengenalan konsep pembuktian matematika sekolah di SMA Negeri 1 Selong. Jurnal Warta Desa (JWD), 6(2), 104–109. https://doi.org/10.29303/jwd.v6i2.303
Syechah, B. N., Robbaniyyah, N. A. I., Awwalushaumi, L., Alfian, M. R., Bahri, S., Salwa, S., & Fariz, A. (2024). Pengenalan konsep pembuktian matematika berbasis sketsa geometri di SMA Negeri 1 Pujut Lombok Tengah. Prosiding PEPADU, 6(1), 298–302.
Weber, K. (2015). Understanding students’ difficulties with mathematical proof. International Journal of Research in Undergraduate Mathematics Education, 1(3), 333–358.
Zed, M. (2008). Metode penelitian kepustakaan. Yayasan Obor Indonesia.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
