Vol. 8 No. 2 (2026): Edisi Juni
Open Access
Peer Reviewed

Studi Kasus Dinamika Kognitif pada Proses Abstraksi dan Klasifikasi dalam Membangun Pemahaman Konseptual Geometri

Authors

Rosi Citrawati , Surya Sari Faradiba , M. Mahmudi Prasetiyo

DOI:

10.29303/jm.v8i2.11722

Published:

2026-06-16

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Abstract

This research is motivated by the low spatial literacy among elementary school students, who tend to memorize physical features of shapes without understanding their hierarchical logical relationships. The primary objective is to deconstruct the cognitive dynamics in building geometric conceptual understanding through the integration of abstraction and classification processes. Adopting a descriptive qualitative case study design, the study included 5th-grade students selected via purposive sampling. Data were collected using the Conceptual Geometry Task instrument through the Think-Aloud Protocol (TAP) technique, observations, and task-based interviews, which were then qualitatively analyzed using data triangulation. Specific findings indicate that the subjects reached a mature stage of abstraction by extracting invariant attributes to perform hierarchical classification consistent with Van Hiele Level 1. Furthermore, a progressive self-correction mechanism was identified as a means of overcoming high cognitive load by modifying logical strategies. Contextually, this study indicates that students’ procedural errors are often integral to the process of developing conceptual abstraction. The practical implications emphasize the urgency for educators to validate students' learning trajectories to foster comprehensive mathematical reasoning.

Keywords:

Abstraction Cognitive Load Classification Conceptual Understanding Think-Aloud Protocol

References

Andam, E. A., Awuah, F. K., & Obeng-Denteh, W. (2025). Analysis of Grade 11 students’ conceptual understanding in probability concepts: A Perspective of Skemp Understanding Theory. East African Journal of Education Studies, 8(2), 358–374. https://doi.org/10.37284/eajes.8.2.2987

Firdaus, A., Maryono, I., & Solehudin, S. (2024). Analisis kemampuan abstraksi matematis berdasarkan teori Van Hiele pada siswa sekolah menengah atas. Jurnal Perspektif, 8(1), 106. https://doi.org/10.15575/jp.v8i1.273

Hartanti, I. P., Purnomo, E. A., & Aziz, A. (2025). Design of the Mathsolve learning media with a problem-solving approach by Schoenfeld on sequences and series material. Journal of Mathematic Education, 7(1), 288–308.

Hatip, A., & Setiawan, W. (2021). Analisis proses berpikir siswa dalam menyelesaikan masalah geometri berdasarkan teori Van Hiele. Jurnal Pendidikan Matematika, 5(2), 87–97. https://doi.org/10.36277/defermat.v8i1.2261

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

Islamiati, M. P. (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

Ismiyati, N. (2023). Deskripsi proses abstraksi matematika siswa berdasarkan gaya kognitif konseptual tempo. Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika, 6(1), 267–277. https://doi.org/10.30605/proximal.v6i1.2301

Jatmiko, J., Retnawati, H., & Rohman, A. (2025). Planning strategy through reduce cognitive load of secondary school students: Brief metacognitive development analysis. Edelweiss Applied Science and Technology, 9(4). https://doi.org/10.55214/25768484.v9i4.6429

Karamık, G. A. (2023). Investigating the effects of mathematics problems prepared in the context of sustainability on academic achievement, attitudes and awareness of sustainability. Lumat: Internatioal Journal on Math, Science and Technology Education, 11(1), 91–117. https://doi.org/10.31129/LUMAT.11.1.1885

Khasanah, N., Nurkaidah, N., Dewi, R., & Prihandika, Y. A. (2019). The process of student’s mathematic abstract from spatial intelligence. Journal of Mathematics and Mathematics Education, 9(2), 24. https://doi.org/10.20961/jmme.v9i2.48396

Kholid, I., Al Basyari, M. M., Saman, S., Nurhadi, N., & Mulhat, M. (2025). Menumbuhkan pemahaman konseptual matematika melalui deep learning: sebuah kajian sistematik literatur. Pedagogy: Jurnal Pendidikan Matematika, 10(4), 1494–1506. https://doi.org/10.30605/pedagogy.v10i4.7108

Kilicoglu, E., & Kaplan, A. (2022). Predicting the mathematical abstraction processes using the revised Bloom’s Taxonomy: Secondary school 7th graders. Athens Journal of Education, 9(2), 237–256. https://doi.org/10.30958/AJE.9-2-4

Mata, A. (2023). Overconfidence in the Cognitive Reflection Test: Comparing Confidence resolution for reasoning vs. general knowledge. Journal of Intelligence, 11(5), 1–18. https://doi.org/10.3390/jintelligence11050081

Mbusi, N., & Luneta, K. (2021). Mapping pre-service teachers’ faulty reasoning in geometric translations to the design of Van Hiele phase-based instruction. South African Journal of Childhood Education. https://doi.org/10.4102/sajce.v11i1.871

Miyauchi, H., & Thamburaj, R. (2025). Exploratory study on geometric learning of students with blindness in mainstream classrooms: Teachers’ perspectives using the Van Hiele Theory. Education Sciences. https://doi.org/10.3390/educsci15040475

Mudhefi, F., Mabotja, K., & Muthelo, D. (2024). The use of Van Hiele’s geometric thinking model to interpret Grade 12 learners’ learning difficulties in Euclidean Geometry. Perspectives in Education. https://doi.org/10.38140/pie.v42i2.8350

Muhaimin, L. H., Sholikhakh, R. A., Yulianti, S., Ardani, Hendriyanto, A., & Sahara, S. (2024). Unlocking the secrets of students’ mathematical literacy to solve mathematical problems: A systematic literature review. Eurasia Journal of Mathematics, Science and Technology Education, 20(4). https://doi.org/10.29333/ejmste/14404

Nadilia, B., & Wijayanti, P. (2023). Abstraksi reflektif siswa smp dalam menyelesaikan masalah matematika ditinjau dari kemampuan matematika. MATHEdunesa: Jurnal Ilmiah Pendidikan Matematika, 12(3), 684-697. https://doi.org/10.26740/mathedunesa.v12n3.p684-697

Niyazova, G. B., Utemov, V. V., Savina, T. N., Karavanova, L. Z., Karnaukh, I. S., Zakharova, V. L., & Galimova, E. G. (2022). Classification of open mathematical problems and their role in academic achievement and motivation of students. Eurasia Journal of Mathematics, Science and Technology Education, 18(8), em2142. https://doi.org/10.29333/EJMSTE/12265

Risdiyanti, I., Charitas, R., & Prahmana, I. (2018). Etnomatematika : Eksplorasi dalam permainan Jawa. Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, 2(1), 1–11. http://doi.org/10.31331/medives.v2i1.523

Santika, S., Nugraha, D. A., & Prabawati, M. N. (2025). Enhancing mathematical modeling and ethnomathematics learning through virtual reality: A case study in higher education. Mosharafa: Jurnal Pendidikan Matematika, 14(1), 167–182. https://doi.org/10.31980/mosharafa.v14i1.2021

Scheja, B., & Rott, B. (2024). Mathematical tasks: A review of classification systems. Mathematics Education Research Journal. Advance online publication. https://doi.org/10.1007/s13394-024-00506-z

Syamsuddin, A., Idawati, Haking, H., Tonra, W. S., & Syukriani, A. (2023). Designing worksheets to improve reflective thinking for elementary school students on the solid figure subject. Academic Journal of Interdisciplinary Studies, 12(2), 349–366. https://doi.org/10.36941/ajis-2023-0054

Author Biographies

Rosi Citrawati, Universitas Islam Malang

Author Origin : Indonesia

Surya Sari Faradiba, Universitas Islam Malang

Author Origin : Indonesia

M. Mahmudi Prasetiyo, Universitas Islam Malang

Author Origin : Indonesia

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How to Cite

Citrawati, R., Faradiba, S. S., & Prasetiyo, M. M. (2026). Studi Kasus Dinamika Kognitif pada Proses Abstraksi dan Klasifikasi dalam Membangun Pemahaman Konseptual Geometri. Mandalika Mathematics and Educations Journal, 8(2), 1316–1329. https://doi.org/10.29303/jm.v8i2.11722

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