Improving Students' Geometric Thinking Levels through a Van Hiele Learning Module Integrated with Ethnomathematics

Authors

  • Arman Ramadan Universitas Negeri Makassar, Indonesia
  • Muhammad Ammar Naufal Universitas Negeri Makassar, Indonesia
  • Nur Wahidin Ashari Universitas Negeri Makassar, Indonesia
  • Muhammad Nasiru Hassan Sokoto State University, Nigeria

DOI:

https://doi.org/10.53696/venn.v5i5.607

Keywords:

Learning Modules, Van Hiele, Ethnomathematics, Geometric Thinking Levels

Abstract

Analytic geometry learning often emphasizes symbolic procedures, while students’ spatial visualization and geometric reasoning remain underdeveloped. This gap highlights the urgency of developing culturally contextualized learning materials that connect concrete spatial experiences with formal mathematical concepts. This study aims to develop and evaluate the effectiveness of a local wisdom-based analytic geometry module in improving students’ geometric thinking levels (GTL). The study employed Research and Development (R&D) using the ADDIE framework, comprising Analysis, Design, Development, Implementation, and Evaluation. Participants were 36 third-semester pre-service mathematics teachers at Universitas Negeri Makassar, selected purposively. Data were collected through module validation sheets, student response questionnaires, and a seven-item open-ended Geometric Thinking Test, and analyzed descriptively and using the Wilcoxon Signed-Rank Test. The module achieved high validity based on subject matter (0.92) and cultural (0.80) expert validation and high practicality (83.79%). Wilcoxon analysis indicated a significant improvement in GTL (Z = −5.233; p < 0.001). Students reaching Level 3 (Formal Deduction) increased from 0% to 69.4%, while 2.8% reached Level 4 (Rigor). Integrating traditional-house wireframes and weaving patterns provided visual-cultural scaffolding that bridged spatial intuition and formal algebraic reasoning. These findings demonstrate the module’s potential to strengthen formal geometric reasoning and support culturally responsive mathematics education. Future studies should examine its effectiveness using larger, diverse samples and comparative designs.

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References

Ashari, N. W., Amanda, A., Rachmadani, F., Anindini, R., & Salim, A. (2026). Etnomatematika: Analisis Bentuk Geometri dalam Konstruksi dan Area Pada Rumah Adat Bola Pa’borongan Suku Kajang Bulukumba. Venn: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences, 5(3), 585–595. https://doi.org/10.53696/venn.v5i3.507

Ashari, N. W. (2024). Eksplorasi Etnomatematika Pada Rumah Adat Balla Lompoa Doman Kale Balla. Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika, 8(1), 90–99. https://doi.org/10.30605/proximal.v8i1.4904

Ashari, N. W., Nurwahidah, N., Nurazizah, A., Amin, A., & Syam, N. A. (2025). Analisis Unsur Etnomatematika pada Struktur Bangunan Rumah Adat Tongkonan di Tana Toraja. Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika, 8(4), 1241–1253. https://doi.org/10.30605/proximal.v8i4.7605

Atebe, H. U., & Schäfer, M. (2011). The van Hiele levels of geometric thought of Nigerian and South African learners. African Journal of Research in Mathematics, Science and Technology Education, 15(1), 54–67.

Battista, M. T. (2007). The development of geometric and spatial thinking. Second Handbook of Research on Mathematics Teaching and Learning, 2, 843–908.

Branch, R. M. (2010). Instructional design: The ADDIE approach. In Instructional Design: The ADDIE Approach. Springer US. https://doi.org/10.1007/978-0-387-09506-6

Chiossi, S. G. (2022). Essential Mathematics for Undergraduates: A Guided Approach to Algebra, Geometry, Topology and Analysis. Essential Mathematics for Undergraduates: A Guided Approach to Algebra, Geometry, Topology and Analysis, 1–490. https://doi.org/10.1007/978-3-030-87174-1

Clements, D. H., & Battista, M. T. (1992). Geometry and spatial reasoning. Handbook of Research on Mathematics Teaching and Learning, 420–464.

Halim Abdullah, A., & Zakaria, E. (2013). Enhancing Students’ Level of Geometric Thinking Through Van Hiele’s Phase-based Learning. Indian Journal of Science and Technology. www.indjst.org

Hanik, U., & Nurtamam, M. E. (2017). Integrasi Etnomatematika Dalam Pembelajaran Matematika Sekolah Dasar. In Seminar Nasioanal PGSD UNIKAMA (Vol. 1). https://semnas.unikama.ac.id/pgsd/artikel.php

Heswari, S., & Patri, D. (2021). Efektivitas E-Modul Matematika Berbasis Etnomatematika Untuk Meningkatkan Kemampuan Berpikir Logis. Jurnal Muara Pendidikan, 6(1).

Jones, Keith. (2002). Aspects of Teaching Secondary Mathematics : Perspectives on Practice.

Marsigit. (2016). Pembelajaran Matematika Dalam Perspektif Kekinian. In Jurnal Pendidikan Matematika (Vol. 2, Number 3).

Molenda, M. (2003). In search of the elusive ADDIE model. In Next, the textbooks on ID. Heinich, Molenda.

Naufal, M. A., Abdullah, A. H., Osman, S., Abu, M. S., & Ihsan, H. (2020). van Hiele Level of Geometric Thinking among Secondary School Students. International Journal of Recent Technology and Engineering (IJRTE), 8(6), 478–481. https://doi.org/10.35940/ijrte.F7541.038620

Naufal, M. A., Ihsan, H., Samsuddin, A. F., Zainal, Z., Ashari, N. W., & Hassan, M. N. (2025). Evaluating the geometric thinking levels of generation Z pre-service mathematics teachers in Indonesia. International Journal of Evaluation and Research in Education, 14(2), 918–925. https://doi.org/10.11591/ijere.v14i2.32365

Rida, J. (2021). Analisis Kemampuan Pemecahan Masalah Geometri Berdasarkan Tingkatan Berpikir Van Hiele Di Smp. Universitas Islam Negeri Ar-Raniry Darussalam.

Rosa, M., & Orey, D. C. (2011). Ethnomathematics: the cultural aspects of mathematics Etnomatemática: os aspectos culturais da matemática. In Revista Latinoamericana de Etnomatemática (Vol. 4, Number 2). http://www.redalyc.org/articulo.oa?id=274019437002

Sinclair, N., Bartolini Bussi, M. G., de Villiers, M., Jones, K., Kortenkamp, U., Leung, A., & Owens, K. (2016). Recent research on geometry education: an ICME-13 survey team report. ZDM - Mathematics Education, 48(5), 691–719. https://doi.org/10.1007/s11858-016-0796-6

Sugiyono. (2013). Metode penelitian pendidikan pendekatan kuantitatif, kualitatif, dan R&D. Alfabeta.

Trimurtini, T., Junaedi, I., & Prabowo, A. (2022). The effectiveness of technology and contextual support in van Hiele-based geometry instruction: A systematic review. International Journal of Instruction, 15(4), 815–834

Usiskin, Z. (1982). Van Hiele Levels and Achievement in Secondary School Geometry: Final Report of the Cognitive Development and Achievement in Secondary School Geometry Project. University of Chicago Press.

Uttal, D. H., Meadow, N. G., Tipton, E., Hand, L. L., Alden, A. R., Warren, C., & Newcombe, N. S. (2013). The malleability of spatial skills: A meta-analysis of training studies. Psychological Bulletin, 139(2), 352–402. https://doi.org/10.1037/a0028446

Wahyuni, A., Tias, A. A. W., & Sani, B. (2013). Peran Etnomatematika Dalam Membangun Karakter Bangsa.

Wicaksono, A. B. (2022). Level berpikir geometris mahasiswa calon guru matematika berdasarkan teori van Hiele. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(3), 2217–2228.

Yudianto, E., Sugiarti, T., Bara Setiawan, T., Maghfiroh, A., & Studi Pendidikan Matematika, P. (2022). Pengaruh Penerapan Fase-Fase Pembelajaran Van Hiele Terhadap Tingkat Berpikir Geometri Siswa SMA. 06(01), 710–720.

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Published

29-08-2026

How to Cite

Arman Ramadan, Muhammad Ammar Naufal, Nur Wahidin Ashari, & Muhammad Nasiru Hassan. (2026). Improving Students’ Geometric Thinking Levels through a Van Hiele Learning Module Integrated with Ethnomathematics. Venn: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences, 5(5), 1052–1061. https://doi.org/10.53696/venn.v5i5.607

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