THE ABSTRACTION PROCESS OF NINTH-GRADE STUDENTS IN SOLVING POLYHEDRAL GEOMETRY PROBLEMS BASED ON LEARNING STYLES

Mutiara Amalia Putri(1*), Mubarik Mubarik(2), Pathuddin Pathuddin(3), Rahma Nasir(4),

(1) Tadulako University
(2) Tadulako University
(3) Tadulako University
(4) Tadulako University
(*) Corresponding Author

Abstract


This study aims to describe the abstraction process of ninth-grade students in solving polyhedral geometry problems, as viewed from the perspective of learning styles based on the RBC+C model. This study employs a qualitative approach, in the form of a description of the abstraction process of ninth-grade students at SMP Negeri 14 Palu. The research subjects consisted of three ninth-grade students at SMP Negeri 14 Palu who were selected using purposive sampling based on the results of a learning style questionnaire (visual, auditory, and kinesthetic). Data collection began with the distribution of the learning style questionnaire, followed by a written test consisting of polyhedral geometry problems involving cuboids and cubes to measure RBC+C epistemic actions, as well as semi-structured interviews to explore the students’ responses in greater depth. The research findings indicate that all three subjects were able to complete the cognitive activity stages of the RBC+C model, though with varying characteristics and levels of success. Two subjects successfully reached a stable Consolidation stage, while the other subject demonstrated only very limited progress. The dominant thinking barriers occurred during the Building-with stage, taking the form of algebraic misconceptions when reversing formulas and manipulating the notation of mathematical operations. These findings provide insights for educators in understanding the diversity of students’ learning styles and anticipating their cognitive obstacles when designing geometry instruction.

Keywords


Abstraction process Three-dimensional geometry RBC+C model Visual learning style

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References


Breive, S. (2022). Abstraction and embodiment: Exploring the process of grasping a general. Educational Studies in Mathematics, 110(2), 313–329.

Budiarto, M. T., Ekawati, R., Susanti, G., Kim, J., & Bonyah, E. (2024). How Abstraction of a Pre-Service Teacher in Constructing Relationships among Quadrilaterals. Journal on Mathematics Education, 15(2), 339–362.

Dewi, M. S. A. (2023). Buku Ajar Pembelajaran Matematika SD untuk Mahasiswa PGSD. Nilacakra.

Firdaus, A., Maryono, I., & Solehudin, S. (2024). Analisis Kemampuan Abstraksi Matematis berdasarkan Teori Van Hiele Pada Siswa Sekolah Menengah Atas. Jurnal Perspektif, 8(1), 106–116.

Fitrianti, F. (2025). Analisis Kecerdasan Visual Spasial Terhadap Kemampuan Pemecahan Masalah Matematis Siswa Kelas Viii. 4 Smp Negeri 9 Palopo. IAIN Palopo.

Hadistian, F. (2023). Analisis kemampuan abstraksi siswa pada materi program linear berdasarkan model RBC+ C. Universitas Islam Negeri Walisongo Semarang

Hapsari, Y. N. M., & Masduki, M. (2024). Eksplorasi Kemampuan Berpikir Komputasi Siswa SMP dalam Menyelesaikan Soal Pola Bilangan Ditinjau dari Gaya Belajar. FIBONACCI: Jurnal Pendidikan Matematika Dan Matematika, 10(1), 21–38.

Hershkowitz, R., Schwarz, B. B., & Dreyfus, T. (2001). Abstraction in context: Epistemic actions. Journal for Research in Mathematics Education, 32(2), 195–222.

Ismiyati, N. (2023). Deskripsi proses abstraksi matematika siswa berdasarkan gaya kognitif konseptual tempo. Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika, 6 (1), 267–277.

Juliyansah, R., & Hakim, D. L. (2023). Proses Abstraksi Siswa Pada Materi Geometri Berdasarkan Teori Bruner. Prosiding Sesiomadika, 4(1).

Mubarik, M., Hadjar, I., Meinarni, W., & Kurniawati, A. D. (2026). Is mathematics still scary? Primary school pupils’ perceptions of mathematics. Riemann: Research of Mathematics and Mathematics Education, 8(1), 159–171.

Mubarik, M., Nurhidayah, N., Pathuddin, P., Fajriani, F. (2026). Profile of Students’ Mathematical Beliefs at State Junior High School 1 Palu in Solving Algebra Problems Viewed from Learning Styles. Journal of Educational Sciences, 10(4), 650–665.

Netti, S., & Sudirman, S. H. (2020). Proses Abstraksi Pengetahuan Oleh Siswa Pada Konsep Luas Permukaan Dan Volume Bangun Ruang. Universitas Negeri Gorontalo

Nisaâ, A. L. (2018). Analisis kemampuan abstraksi matematis siswa dalam menyelesaikan soal pada materi segiempat kelas VII SMP. Jurnal Pendidikan Matematika (JPM), 4(1), 1–8.

Nurrahmah, A., Kartono, K., Zaenuri, Z., & Isnarto, I. (2022). Tinjauan Pustaka Sistematis: Abstraksi Matematis Mahasiswa Pada Pembelajaran Matematika Berdasarkan Teori APOS. Prosiding Seminar Nasional Pascasarjana, 5(1), 120–129.

Putri, I., Handican, R., & Gunawan, R. G. (2022). Systematic literature review: analisis kemampuan representasi matematis siswa terhadap gaya belajar. Griya Journal of Mathematics Education and Application, 2(3), 577–588.

Rahmawati, N., Wahyuningsih, W. A., & Rahmadeni, F. (2025). Pengaruh Media Congklak Terhadap Kemampuan Pemahaman Konsep Matematis Siswa Kelas III di SDIT Rabbi Radhiyya 01 Curup. Institut Agama Islam Negeri Curup.




DOI: https://doi.org/10.31327/jme.v11i2.2825

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