Miskonsepsi yang Terjadi pada Pemecahan Masalah Geometri: Sebuah Systematic Literature Review Berdasarkan Teori Van Hiele

Authors

  • Asmaun Program Studi Pendidikan Matematika, Universitas Negeri Makassar

Keywords:

Geometry Misconceptions, Van Hiele Theory, Problem Solving, Systematic Literature Review

Abstract

Students' poor performance in geometry on international assessments such as PISA and TIMSS indicates fundamental issues in conceptual mastery, often rooted in misconceptions. This study aims to systematically synthesize types of misconceptions in geometry problem-solving and analyze them based on the Van Hiele theory framework. The method employed in this research is a Systematic Literature Review (SLR) following the PRISMA protocol. Article searches were conducted across reputable databases, including Scopus, Web of Science, and ERIC, covering the last ten years (2016–2026). A total of 35 articles were selected based on strict inclusion criteria for qualitative analysis using thematic analysis techniques. The results indicate that the most dominant misconceptions occur in the hierarchical classification of geometric shapes and the understanding of formal properties of objects. Through the lens of Van Hiele theory, it was found that the majority of misconceptions manifest during the transition from the visualization level to the analysis level, where students tend to be hindered by visual prototypes without being able to link formal definitions deductively. Factors contributing to the persistence of these misconceptions include teacher instructions that are misaligned with students' thinking levels, limited spatial intuition, and overly rigid presentation of material in textbooks. Furthermore, this study reveals that certain misconceptions persist into higher education, particularly among pre-service teachers. These findings emphasize the urgency of implementing instructional strategies that are adaptive to students' cognitive developmental stages to mitigate conceptual gaps in geometry. The results of this review are expected to serve as a reference for curriculum developers and educators in designing more effective pedagogical interventions to enhance geometry problem-solving skills.

References

Akçayır, M., & Akçayır, G. (2017). Advantages and challenges associated with augmented reality for education: A systematic review of the literature. Educational Research Review, 20, 1–11. https://doi.org/10.1016/j.edurev.2016.11.002

Akil, Y. B., Ilhan, O. A., & Sevgi, S. (2022). Investigation of Mathematics Achievements of Eighth Grade Students on Transformation Geometry and Van Hiele Geometric Thinking Levels. Bulletin of Education and Research, 44(1), 85–103.

Arnita, E. A. P., Zulkarnaen, R., & Imami, A. I. (2024). Analisis Kemampuan Berpikir Geometri Siswa SMP Berdasarkan Teori Van Hiele dalam Materi Teorema Pythagoras. Jurnal Didactical Mathematics, 6(2), 185–197. https://doi.org/10.31949/dm.v6i2.10485

Arwadi, F., Asmaun, A., & Ruslan, R. (2024). Analisis Kesalahan Mahasiswa dalam Menyelesaikan Soal Analitik Ditinjau Dari Prestasi Belajar. JRIP: Jurnal Riset Dan Inovasi Pembelajaran, 4(3), 1819. https://doi.org/10.51574/jrip.v4i3.2206

Asmaun, A. (2025). Analisis Tingkat Berpikir Geometri Mahasiswa dalam Pemecahan Masalah Berdasarkan Teori Van Hiele pada Mata Kuliah Geometri Dasar. Venn: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences, 4(3), 378–396. https://doi.org/10.53696/VENN.V4I3.353

Asmaun, A., Arwadi, F., & Rifandi, M. (2025). Deskripsi Kesalahan Mahasiswa dalam Menyelesaikan Soal Geometri Analitik Menurut Teori Newman Ditinjau dari Kemampuan Matematika. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 8(2), 548–560. https://doi.org/10.30605/proximal.v8i2.5467

Demircioğlu, H., Hatip B A Sivas, K., Üniversitesi, C., & Turkey, S. (2023). Examining 8th Grade Students’ Van Hiele Geometry Thinking Levels, Their Proof Writing and Justification Skills. International Journal of Curriculum and Instruction, 15(1), 294–308. https://orcid.org/0000-0001-7037-6140

Diantari, W., & Adirakasiwi, A. G. (2020). Analisis Kesalahan Siswa SMP dalam Menyelesaikan Soal Berdasarkan Teori Van Hiele. Prosiding Sesiomadika, 2(1c). https://journal.unsika.ac.id/index.php/sesiomadika/article/view/2712

Fitriani, N., & Rohaeti, E. E. (2020). MISKONSEPSI SISWA PADA MATERI GEOMETRI DI TINGKAT SEKOLAH MENENGAH PERTAMA. Teorema: Teori Dan Riset Matematika, 5(1), 9–16. https://doi.org/10.25157/teorema.v5i1.3267

Goldin, J., & Suransky, C. (2024). The use of Van Hiele’s geometric thinking model to interpret Grade 12 learners’ learning difficulties in Euclidean Geometry. Perspectives in Education, 42(2), 162–175. https://doi.org/10.38140/PIE.V42I2.8350

Hayati, N., Wahyuni, R., & Nurhayati, N. (2018). Analisis Kemampuan Koneksi Matematis Siswa dalam Memecahkan Masalah Geometri Berdasarkan Tingkat Berpikir Van Hiele di kelas VIII Mts Al-Fatah Singkawang. Journal of Educational Review and Research, 1(2), 68–79. https://doi.org/10.26737/JERR.V1I2.1668

Indrayany, E. S., & Lestari, F. (2019). Analisis kesulitan siswa SMP dalam memecahkan masalah geometri dan faktor penyebab kesulitan siswa ditinjau dari teori van hiele. Jurnal Math Educator Nusantara: Wahana Publikasi Karya Tulis Ilmiah Di Bidang Pendidikan Matematika, 5(2), 109–123. https://doi.org/10.29407/JMEN.V5I2.13729

Kandaga, T., Rosjanuardi, R., & Juandi, D. (2022). Epistemological Obstacle in Transformation Geometry Based on van Hiele’s Level. EURASIA Journal of Mathematics, Science and Technology Education, 18(4), 2096. https://doi.org/10.29333/ejmste/11914

Mbusi, N. P., Luneta, K., & Mbusi, N. (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, 11(1). https://doi.org/10.4102/sajce.v11i1.871

Mensah, N. B., Barton Odro, E., & Williams, D. A. (2023). Examination of 9th Graders’ Levels of Geometric Thinking. International Journal of Research in Education and Science, 9(3), 688–703. https://doi.org/10.46328/ijres.3184

Mosia, M., Matabane, M. E., Tshele, &, & Moloi, J. (2023). Errors and Misconceptions in Euclidean Geometry Problem Solving Questions: The Case of Grade 12 Learners. Research in Social Sciences and Technology, 8(3), 89–104. https://doi.org/10.46303/ressat.2023.23

Naufal, M. A., Abdullah, A. H., Osman, S., Abu, M. S., & Ihsan, H. (2021). The Effectiveness of Infusion of Metacognition in van Hiele Model on Secondary School Students’ Geometry Thinking Level. International Journal of Instruction, 14(3), 535–546. https://doi.org/10.29333/iji.2021.14331a

Indah, M. E. (2016). Analisis Proses Pemecahan Masalah Geometri Berdasarkan Teori Van Hiele di Sekolah Menengah Atas. Jurnal Noken: Ilmu-Ilmu Sosial, 2(1), 28–39. https://doi.org/10.33506/JN.V2I1.24

Pule, G. K., Mkhabela, K., & Maweya, A. G. (2025). Analyzing Errors and Misconceptions of 11th Grade Learners in Solving Tangent-Chord Theorem Problems: A Case in Tshwane North District Secondary School. Journal of Inquiry Based Activities, 15, 157–171.

Salsabila, Z., Lathifah, S. P., Azarina, D., Novia, L., Wangi, A., Humairoh, B., Wijaya, J., & Wahyuni, R. (2026). Disparitas Level Berpikir Geometri Berdasarkan Teori Van Hiele pada Pemahaman Konsep Lingkaran Siswa SMP. Maret 2026 Mandalika Mathematics and Education Journal, 8(1), 719. https://doi.org/10.29303/jm.v3i1.11138

Sholihah, S. Z., & Ekasatya, A. A. (2017). Analisis Kesulitan Siswa dalam Proses Pemecahan Masalah Geometri Berdasarkan Tahapan Berpikir Van Hiele. Mosharafa: Jurnal Pendidikan Matematika, 6(2), 287–298. https://doi.org/10.31980/mosharafa.v6i2.451

Silmi, U., & L, D. A. M. (2022). Systematic Literature Review:Teori Van Hiele dalam Meningkatkan Kemampuan Berpikir Geometris Siswa Sekolah Dasar. PEDADIDAKTIKA: Jurnal Ilmiah Mahasiswa Pendidikan Guru Sekolah Dasar, 9(2), 327–338. https://doi.org/10.17509/PEDADIDAKTIKA.V9I2.53166

Sulistiowati, D. L. (2022). ANALISIS KESALAHAN SISWA LEVEL VISUALISASI VAN HIELE DALAM MENYELESAIKAN SOAL PEMECAHAN MATEMATIS PADA MATERI BANGUN DATAR. LINEAR: Journal of Mathematics Education, 3(1), 59–73. https://doi.org/10.32332/LINEAR.V3I1.4914

Umami, I. N., & Asdarina, O. (2024). Analisis Level Berpikir Geometris Siswa SMP dalam Menyelesaikan Soal Lingkaran berdasarkan Teori Van Hiele. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 4(1), 460–471. https://doi.org/10.51574/KOGNITIF.V4I1.1554

Wulandari, S., Syahbana, A., Tanzimah, Shang, Y., Weinhandl, R., & Sharma, R. (2021). Analysis of Students’ Thinking Level in Solving Pythagoras’ Theorem Problems Based on Van Hiele’s Theory. Malikussaleh Journal of Mathematics Learning, 4(2), 124–130. https://doi.org/10.29103/mjml.v4i2.3905

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Published

2026-06-06

How to Cite

Asmaun, A. (2026). Miskonsepsi yang Terjadi pada Pemecahan Masalah Geometri: Sebuah Systematic Literature Review Berdasarkan Teori Van Hiele. Journal of Mathematics, Statistics, and Mathematics Education, 2(1), 1–18. Retrieved from https://journal.ininnawaparaedu.com/jmsme/article/view/632