Sistematis Tentang Kemampuan Berpikir Kritis Matematis Siswa SMA pada Topik Lingkaran Berdasarkan Level Berpikir Van Hiele

Muhammad Aiman Jamil Lubis; Turmudi

Authors

Muhammad Aiman Jamil Lubis Pendidikan Matematika, Universitas Pendidikan Indonesia, Indonesia
Turmudi Pendidikan Matematika, Universitas Pendidikan Indonesia, Indonesia

Keywords:

Berpikir Kritis Matematis, Tingkat Berpikir Van Hiele, Geometri, Lingkaran, Systematic Literature Review

Abstract

Berpikir kritis matematis merupakan salah satu kompetensi penting yang dibutuhkan siswa untuk menyelesaikan permasalahan geometri, khususnya yang berkaitan dengan lingkaran. Teori Van Hiele menjelaskan perkembangan hierarkis berpikir geometri siswa yang berkaitan erat dengan kemampuan berpikir kritis mereka. Penelitian ini bertujuan untuk meninjau penelitian terdahulu mengenai kemampuan berpikir kritis matematis siswa sekolah menengah atas pada materi lingkaran berdasarkan tingkat berpikir Van Hiele menggunakan metode Systematic Literature Review (SLR). Kajian ini terdiri atas tiga tahap, yaitu perencanaan, pelaksanaan, dan pelaporan. Artikel yang relevan diidentifikasi melalui beberapa basis data ilmiah. Sebanyak 27 artikel dianalisis menggunakan pendekatan deskriptif kualitatif. Hasil kajian menunjukkan bahwa teori Van Hiele efektif meningkatkan kemampuan berpikir geometri siswa melalui berbagai model pembelajaran, media pembelajaran, dan teknologi. Selain itu, siswa dengan tingkat berpikir Van Hiele yang lebih tinggi menunjukkan kemampuan berpikir kritis matematis yang lebih baik dalam menganalisis masalah, memberikan penalaran logis, mengevaluasi informasi, dan menyelesaikan permasalahan terkait lingkaran. Namun, penelitian yang secara khusus mengkaji kemampuan berpikir kritis matematis siswa sekolah menengah atas pada materi lingkaran berdasarkan tingkat berpikir Van Hiele masih terbatas. Oleh karena itu, penelitian empiris lebih lanjut diperlukan untuk mendukung pengembangan pembelajaran geometri yang lebih efektif.

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References

Anđelković, S., & Malinović-Jovanović, N. (2022). Students’ Achievements in Primary School Mathematics According to the Van Hiele Model of the Development of Geometric Thinking. Facta Universitatis, Series: Teaching, Learning and Teacher Education, 6(2), 155–167. https://doi.org/10.22190/FUTLTE221205011A

Apuri, F. B., Sie, C. K., & Alagbela, A. A. (2026). An Analysis of Senior High School Students’ Errors in Circle Theorems Using Newman’s Error Analysis: Evidence From Ghana. Journal of Mathematics Science and Technology Education, 3(1), 17–29. https://doi.org/10.12973/jmste.3.1.17

Arnal-Bailera, A., & Manero, V. (2024). A Characterization of Van Hiele’s Level 5 of Geometric Reasoning Using the Delphi Methodology. International Journal of Science and Mathematics Education, 22, 537–560. https://doi.org/10.1007/s10763-023-10380-z

Bočková, V., Pavlovičová, G., & Rybanský, Ľ. (2026). Identification of Problematic Items and Analysis of Distractors of the Van Hiele Geometry Test. International Journal of Instruction, 19(1), 401–418. https://doi.org/10.29333/iji.2026.19120a

Chbili, N. (2021). Construction With Ruler and Compass, Van Hiele Model for Geometry Thinking and Project-Based Learning. International Journal for Innovation Education and Research, 9(9), 335–347.

Demir, E., İlhan, O. A., & Sevgi, S. (2023). Investigation of Seventh Grade Students’ Van Hiele Geometric Thinking Levels in Circle Subject. Bulletin of Education and Research, 45(1), 95–118.

Diana, P. (2026). Hubungan Kemampuan Berpikir Kritis Dengan Kemampuan Pemecahan Masalah Matematis Siswa: A Study Literature Review. Edukasi Elita: Jurnal Inovasi Pendidikan, 3(3), 46–60. https://doi.org/10.62383/edukasi.v3i3.3097

Dikkartin Övez, F. T., & Özdemir, E. (2024). An Examination of Pre-Service Teachers’ Van Hiele Levels of Geometric Thinking and Proof Perception Types in Terms of Thinking Processes. Educational Research and Reviews, 19(1), 26–39. https://doi.org/10.5897/ERR2023.4386

Djam'an, N., Hidayah, N., Toti, M., Rustam, & Dewi, N. C. P. (2025). Analisis Pemahaman Konsep Matematis Siswa Pada Materi Lingkaran Melalui Penerapan Model Pembelajaran PjBL Berbasis STEAM Dengan Media Kincir Air. VENN: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences.

Erben, T. (2023). Van Hiele Model Level 5 Teaching Activity Example for Mathematically Gifted Students: Expand Polygon. Journal for the Mathematics Education and Teaching Practices, 4(2), 59–65.

Falentina, V. F., Muchyidin, A., & Nasehudin, T. S. (2022). Van Hiele’s Theory and Think Pair Share Cooperative Learning Model and Their Effect on Madrasah Tsanawiyah Student’s Level of Mathematical Thinking. Journal of General Education and Humanities, 1(1), 1–11. https://doi.org/10.58421/gehu.v1i1.2

Fridatama, Triyanto, & Wulandari, A. N. (2021). Analisis Miskonsepsi Siswa Dalam Menyelesaikan Soal Matematika Pada Pokok Bahasan Persamaan Garis Singgung Lingkaran di SMA Negeri 2 Karanganyar Tahun Ajaran 2019/2020. Jurnal Pendidikan Matematika dan Matematika (JPMM) Solusi, 5(5).

Gebremeskel, A. A., Ayele, M. A., & Ahmed, A. M. (2026). Effect of Van Hiele Group Guided-Discovery Instructional Approach on Student Engagement in Learning Plane Geometry. Infinity Journal of Mathematics Education, 15(2), 391–420. https://doi.org/10.22460/infinity.v15i2.p391-420

Hissan, Y., & Ntow, F. D. (2021). An Investigation Into the Effect of Concept-Based Instruction on Senior High School Students’ Geometric Thinking and Achievement in Circle Theorem. International Journal of Research and Innovation in Social Science, 5(2), 52–60.

Jatmiko, J., & Primasatya, N. (2022). The Use of Multimedia of Geometry Based on Van Hiele Thinking Theory: An Alternative to Improve Critical Thinking Skill of Elementary School Students. In Proceedings of The 1st International Seminar: The Changing Role of Knowledge and Living Sustainability in ASEAN Community (pp. 291–298).

Kitchenham, B., & Charters, S. (2007). Guidelines for Performing Systematic Literature Reviews in Software Engineering (EBSE Technical Report EBSE-2007-01). Keele University & Durham University.

Luqman, N., Muhtadi, D., & Sukirwan. (2024). Kesulitan Peserta Didik dan Faktor-Faktor Pada Materi Keliling dan Luas Lingkaran. Wilangan, 5(3).Maqoqa, T. (2024). An Exploration of Learners’ Understanding of Euclidean Geometric Concepts: A Case Study of Secondary Schools in the OR Tambo Inland District of the Eastern Cape. E-Journal of Humanities, Arts and Social Sciences, 5(5), 658–675. https://doi.org/10.38159/ehass.2024557

Margaretha, P. M. (2025). Analysis of Geometry Reasoning of Madrasah Ibtidaiyah Teacher Education Students Reviewed From Van Hiele’s Geometry. Journal of Education Management and Policy.

Mohammed, J., & Zakariyya, N. (2023). Effect of Van Hiele’s Instructional Model on Students’ Academic Performance and Anxiety in Geometry Among Senior Secondary School in Katsina State, Nigeria. Global Scientific Journal, 11(8).

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, 42(2).

Naufal, M. A., Abdullah, A. H., Osman, S., Abu, M. S., Ihsan, H., & Rondiyah. (2021). Reviewing the Van Hiele Model and the Application of Metacognition on Geometric Thinking. International Journal of Evaluation and Research in Education, 10(2), 597–605. https://doi.org/10.11591/ijere.v10i2.21185

Ndungo, I., Balimuttajjo, S., & Akugizibwe, E. (2025). Towards Improved Geometry Instruction: Learners’ Experiences With Technology-Enhanced and Conventional Van Hiele Phased Instruction. Electronic Journal for Research in Science & Mathematics Education, 29(2), 33–56.

Ntshangase, S. C., Ndlovu, M., & Oladele, J. I. (2024). The Effect of Dynamic Geometry Software Use for Teaching and Learning Grade 11 Circle Geometry. African Journal of Teacher Education and Development, 3(1), Article a50.

Pratama, C. P., Sukayasa, Hadjar, I., & Nurhayadi. (2026). Profile of Critical Thinking of Grade XI Students at SMAN 1 Torue in Solving Circle Problems Based on Van Hiele’s Levels of Thinking. Journal of Educational Sciences, 10(2), 2301–2315.

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(Special Issue), 157–171.

Rolando, J., Alghadari, F., & Arisha, B. (2026). Analisis Kemampuan Berpikir Geometri Siswa SMA Pada Koordinasi Representasi Simbolik dan Grafik Fungsi Kuadrat Berbantuan GeoGebra. Pendas: Jurnal Ilmiah Pendidikan Dasar, 11(2).

Sapitri, D., & Meiliasari. (2026). Systematic Literature Review: Kemampuan Berpikir Kritis Dalam Pembelajaran Matematika. Jurnal Gammath, 11(1), 20–36.

Sari, D. K., & Sari, F. Y. (2026). Analisis Kemampuan Berpikir Kritis Siswa Ditinjau Dari Gaya Kognitif Pada Materi Penjumlahan dan Pengurangan Pecahan. Jurnal Wahana Pendidikan, 13(1), 171–184.

Sert Çelik, H., & Kaleli Yılmaz, G. (2024). Van Hiele Geometrik Düşünme Düzeyleri Üzerine Farklı Ülkelerde Yayınlanmış Çalışmaların İncelenmesi. Kocaeli Üniversitesi Eğitim Dergisi, 8(1), 1–26. https://doi.org/10.33400/kuje.1507429

Simasiku, F. S., & Rabaza, M. (2026). Enhancing Grade 9 Teachers’ Geometric Thinking Through Van Hiele Theory-Based Geoboard Workshops: A Reflective Study. EURASIA Journal of Mathematics, Science and Technology Education, 22(2), Article em2769. https://doi.org/10.29333/ejmste/17796

Sofiyati, E. (2022). Critical Thinking Process Analysis Based on Van Hiele’s Theory Through the Discovery Learning Model. Pasundan Journal of Mathematics Education, 12(1), 44–59. https://doi.org/10.23969/pjme.v12i1.5280

Süzen, C., & Ünver, S. K. (2025). The Relationship Between Middle School Students’ Mathematical Literacy, Geometry Achievement, and Van Hiele Geometric Thinking Levels. Journal of Pedagogical Sociology and Psychology, 7(4). https://doi.org/10.33902/jpsp.202537039

Tabassum, F., Gautam, M. K., & Kumar, K. (2024). Assessing Geometric Understanding of Preparatory Stage Learners: Application of Van Hiele Theory. National Journal of Education, 22(2), 61–74.

Tanjung, H., Sinaga, B., & Mansyur, A. (2021). Analysis of Student’s Spatial Ability in Terms of Van Hiele’s Thinking Stages in Problem Based Learning. Budapest International Research and Critics in Linguistics and Education Journal, 4(1), 470–485.

Trimurtini, Waluya, S. B., Sukestiyarno, Y. L., & Kharisudin, I. (2022). A Systematic Review on Geometric Thinking: A Review Research Between 2017–2021. European Journal of Educational Research, 11(3), 1535–1552.

Ünsal, G., & Sarı, M. (2026). Analysis of 2024 Maarif Model Geometry Learning Outcomes According to Van Hiele Levels. International Journal of Turkish Education Sciences, 14(1), 149–168. https://doi.org/10.46778/goputeb.1683664

Usmayati, & Gürbüz. (2024). Empowering Students With Discovery Learning in Circle Geometry for Better Problem-Solving. Journal of Geometry Research and Innovation in Education, 1(1), 11–20. https://doi.org/10.56855/gradient.v1i01.1142

Wibawa, F. S., & Kania, N. (2025). The Role of Ethnomathematical Context in Geometric Reasoning: A Van Hiele-Based Analysis of Indonesian Eighth-Graders. Jurnal Pendidikan Progresif, 15(4), 2400–2422.

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

Zhou, L., Liu, J., & Lo, J.-J. (2022). A Comparison of U.S. and Chinese Geometry Standards Through the Lens of Van Hiele Levels. International Journal of Education in Mathematics, Science and Technology, 10(1), 38–56. https://doi.org/10.46328/ijemst.1848