Integrasi Intuisi Visual dan Logika Formal pada Mekanisme Sense-Making Geometri Berbasis Konflik Kognitif
DOI:
10.29303/jm.v8i2.12236Published:
2026-06-04Downloads
Abstract
The dominance of formula memorization often constrains students’ spatial understanding. This article investigates how Meyvira, an eleventh-grade student, navigates a cognitive transition from procedural computation to qualitative geometric reasoning when confronted with a PISA-based problem. Employing a Think Aloud approach within a single-case study design, this research reveals a critical moment in which cognitive conflict stimulates the emergence of intuitive visualization as a valid proof strategy. The findings provide new insights into the mechanisms of mathematical sense-making and offer significant implications for educators in designing instruction that balances formal logic with visual intuition to foster deeper mathematical understanding.
Keywords:
Geometry Cognitive Conflict Sense-Making Think AloudReferences
Azmi, N., Arif, S., Sofyan, H., & Oktavia, R. (2025). Bridging geometry and cultures for junior high school level: Rumoh Aceh design from a computational thinking perspective. Journal on Mathematics Education. https://doi.org/10.22342/jme.v16i2.pp383-406
Darmawan, P. (2025). Analysis of Thinking in Solving Open - Ended Problems on Arithmetic Sequences and Series Based on Polya ’ s Stages Analisis Berpikir Siswa dalam Memecahkan Masalah Open - Ended Barisan dan Deret Aritmatika Berdasarkan Tahapan Polya (Vol. 13, Issue 2).
Erbilgin, E., & Gningue, S. M. (2023). Using the onto-semiotic approach to analyze novice algebra learners’ meaning-making processes with different representations. Educational Studies in Mathematics, 114(2), 337–357. https://doi.org/10.1007/s10649-023-10247-8
Fariana, Y., Nurmalitasari, D., & Susanto, K. (2025). Implementasi Transformasi Geometri Untuk Membuat Sketsa Grafik Fungsi Kuadrat. Jurnal Media Akademik, 3(1), 3031–5220.
Gilmore, C. (2023). Understanding the complexities of mathematical cognition: A multi-level framework. Quarterly Journal of Experimental Psychology, 76(9), 1953–1972. https://doi.org/10.1177/17470218231175325
Greenstein, S. (2014). The Journal of Mathematical Behavior Making sense of qualitative geometry : The case of Amanda. 36, 73–94.
Gupta, A., Efros, A. A., & Hebert, M. (n.d.). Blocks World Revisited : Image Understanding Using Qualitative Geometry and Mechanics.
Hidayat, M., & Zubaidah, T. (2023). Students ’ Errors in Solving Plane Geometry Problems Using E-Learning-based Diagnostic Tests. 4185, 93–110. https://doi.org/10.24815/jdm.v10i1.31938
Hutabarat, K. H., Azzahra, A. R., Fahrunnisa, B., Luhukay, M. Z., Azzahra, N. N., & Putri, H. E. (2025). Pemahaman Konseptual Peserta Didik Terhadap Sifat-Sifat Bangun Datar Berdasarkan Teori Van Hiele. De Fermat : Jurnal Pendidikan Matematika, 8(1), 98–103. https://doi.org/10.36277/defermat.v8i1.2261
Jablonski, S. (2024). Challenges in geometric modelling-A comparison of students’ mathematization with real objects, photos, and 3D models. Eurasia Journal of Mathematics, Science and Technology Education, 20(3). https://doi.org/10.29333/ejmste/14321
Kalaycı Alas, D., & Korutürk, K. (2024). Exploring the Impact of Values Education on Sustainable Environmental Awareness and Behavior Among Eighth-Grade Students. Sustainability (Switzerland), 16(21). https://doi.org/10.3390/su16219302
Lubis, M. S., Salamah, S., & Ginting, B. (2025). Development of a Mathematics Module Based on HOTS Questions on Social Arithmetic Material. 12(1).
Mawadah Putri Islamiati. (2022). Studi Kasus Kemampuan Abstraksi Matematis Siswa Kelas XII Pada Materi Dimensi Tiga. Didactical Mathematics, 4(1), 127–137. https://doi.org/10.31949/dm.v4i1.2076
Mukerjee, A. (1991). Qualitative Geometric Design 2 . Representing geometrical topological relations and. https://doi.org/10.1145/112515.112584
Mukherjee, A. (2025). Eco-Math Connections : Exploring the Challenges and Possibilities among Prospective Mathematics Educators on Environmental Integration. 15(2), 410–435. https://doi.org/10.52634/mier/2025/v15/i2/2878
Nurcahyo, M. (2022). KAJIAN PERAN SKETSA DALAM PROSES KREATIF DAN PENDIDIKAN DESAIN (Kasus Pengalaman Belajar Desain di Era Digital). Lintas Ruang: Jurnal Pengetahuan Dan Perancangan Desain Interior, 10(2), 86–97. https://doi.org/10.24821/lintas.v10i2.7199
Putu Ade Andre Payadnya, I., Prahmana, R. C. I., Lo, J. J., Noviyanti, P. L., & Made Dharma Atmaja, I. (2023). Designing area of circle learning trajectory based on “what-if” questions to support students’ higher-order thinking skills. Journal on Mathematics Education, 14(4), 757–780. https://doi.org/10.22342/jme.v14i4.pp757-780
Sandoz, R. (2021). Thematic Reclassifications and Emerging Sciences. Journal for General Philosophy of Science, 52(1), 63–85. https://doi.org/10.1007/s10838-020-09526-2
Syarifuddin, A. (2022). KAJIAN PERAN SKETSA DALAM PROSES KREATIF DAN PENDIDIKAN DESAIN (Kasus Pengalaman Belajar Desain di Era Digital). Lintas Ruang: Jurnal Pengetahuan Dan Perancangan Desain Interior, 10(2), 86–97. https://doi.org/10.24821/lintas.v10i2.7199
Wulandari, A., Salsabila, A., Cahyani, K., Nurazizah, T. S., & Ulfiah, Z. (2023). Pentingnya Media Pembelajaran dalam Proses Belajar Mengajar. Journal on Education. https://doi.org/10.31004/joe.v5i2.1074
Wulandari, T., Firsta, R. R., Darmawijoyo, D., & Hartono, Y. (2025). Analisis Kemampuan Pemodelan Matematika Dan Penalaran Siswa Dalam Menyelesaikan Soal Kontekstual PISA. Journal of Instructional and Development Researches, 5(3), 302–312. https://doi.org/10.53621/jider.v5i3.538.
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