Pemetaan Level Berpikir Matematis Mahasiswa pada Mata kuliah Kalkulus Dasar
Studi Kasus Mahasiswa Prodi Informatika tahun 2025-2026
DOI:
https://doi.org/10.55606/jupensi.v5i3.6352Keywords:
Calculuss, Item Response Theory (IRT), Linear Function, Students’ Abstract Thinking, Van Hiele TheoryAbstract
This study originates from the gap between students’ conceptual understanding and procedural ability in solving linear function problems in calculus courses. Many students struggle to connect the symbolic representations, graphical interpretations, and applications of linear functions. The purpose of this study is to analyze students’ understanding of linear function concepts based on Van Hiele’s theory, classify students according to Van Hiele’s levels of thinking, and determine the relationship between their thinking levels and learning outcomes. The research employed a quantitative descriptive approach involving 59 first-year university students from East Java Province as participants. Data were collected through a diagnostic test structured around Van Hiele’s thinking levels and analyzed using the Item Response Theory (IRT) model to identify item characteristics and students’ ability levels. The results revealed that most students were at the levels of analysis and informal deduction, while only a small proportion reached the formal deduction and rigor levels. The findings indicate that students’ understanding of linear functions remains largely operational and not fully abstract. The implications of this study highlight the importance of applying Van Hiele’s thinking level framework and IRT analysis in designing instructional strategies that enhance students’ abstract thinking skills in understanding linear function concepts.
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References
Ali, A., & Istiyono, E. (2022). An analysis of item response theory using program R. Al-Jabar: Jurnal Pendidikan Matematika, 13(1), 109–123.
Arriza, L., Retnawati, H., & Ayuni, R. T. (2024). Item analysis of high school specialization mathematics exam questions with item response theory approach. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 18(1), 151–162.
Bean, G. J., & Bowen, N. K. (2021). Item response theory and confirmatory factor analysis: Complementary approaches for scale development. Journal of Evidence-Based Social Work, 18(6), 597–618.
Caswita, C., & others. (2024). Analysis of critical thinking ability in SPLDV. Prima: Jurnal Pendidikan Matematika, 8(1), 19–27.
Cerovac, M., & Keane, T. (2025). Early insights into Piaget’s cognitive development model through the lens of the Technologies curriculum. International Journal of Technology and Design Education, 35(1), 61–81.
Fitriya, Y., Kurniawan, H. L., & Latif, A. (2023). Development of mathematical cognitive test instruments on fraction materials for elementary school students based on idea exploration ability. Mosharafa: Jurnal Pendidikan Matematika, 12(3), 557–570. https://doi.org/10.31980/mosharafa.v12i3.827
Kalinowski, S. T. (2019). A graphical method for displaying the model fit of item response theory trace lines. Educational and Psychological Measurement, 79(6), 1064–1074. https://doi.org/10.1177/0013164419846234
Kline, A., & Luo, Y. (2023). IRTCI: Item response theory for categorical imputation. http://arxiv.org/abs/2302.04165
Komang Elik Mahayani, Agustini, K., & Sudatha, I. G. W. (2023). The effectiveness of virtual reality in mathematics for SPLDV material. Journal of Education Technology, 7(3), 390–399. https://doi.org/10.23887/jet.v7i3.62458
Mokoginta, G., Mangobi, J. U., & Sulistyaningsih, M. (2023). Perbedaan hasil belajar siswa menggunakan model problem based learning (PBL) dan model direct instruction (DI) pada materi SPLDV. Jurnal Sains Riset, 13(1), 217–221. https://doi.org/10.47647/jsr.v13i1.1069
Na, C., Clarke-Midura, J., Shumway, J., van Dijk, W., & Lee, V. R. (2024). Validating a performance assessment of computational thinking for early childhood using item response theory. International Journal of Child-Computer Interaction, 40, 100650.
Reeve, B. B. (2020). Item response theory (IRT). In Polling America: An Encyclopedia of Public Opinion (2nd ed.). https://doi.org/10.4324/9781315650951-11
Sa’adah, N., Faizah, S., Sa’dijah, C., Khabibah, S., & Kurniati, D. (2023). Students’ mathematical thinking process in algebraic verification based on crystalline concept. Mathematics Teaching-Research Journal, 15(1), 90–107.
Sadewo, Y. D., Purnasari, P. D., & Muslim, S. (2022). Filsafat matematika: Kedudukan, peran, dan perspektif permasalahan dalam pembelajaran matematika. Inovasi Pembangunan: Jurnal Kelitbangan, 10(1), 15–28. https://doi.org/10.35450/jip.v10i01.269
Strugatski, A., & Alexandron, G. (2024). Applying IRT to distinguish between human and generative AI responses to multiple-choice assessments. Proceedings of the 15th International Learning Analytics & Knowledge Conference (LAK '25), 1(1), 1–10. http://arxiv.org/abs/2412.02713
Sunardi, Yudianto, E., Susanto, Kurniati, D., Cahyo, R. D., & Subanji. (2019). Anxiety of students in visualization, analysis, and informal deduction levels to solve geometry problems. International Journal of Learning, Teaching and Educational Research, 18(4), 171–185. https://doi.org/10.26803/ijlter.18.4.10
Tarashifa, P. S., & Wantika, R. R. (2023). Effect of conceptual understanding procedures (CUPS) model on mathematics learning results on SPLDV materials. Journal of Education and Learning Mathematics Research (JELMaR), 4(2), 114–119. https://doi.org/10.37303/jelmar.v4i2.111
Usiskin, Z. (1982). Van Hiele levels and achievement in secondary school geometry (Z. Usiskin, Ed.; 1st ed.). The University of Chicago. https://doi.org/NIE-G-79-0090
Wijaya, A. P., & Yusup, M. (2023). Kemampuan komunikasi matematis tertulis peserta didik dengan model problem based learning pada materi SPLDV. Plusminus: Jurnal Pendidikan Matematika, 3(1), 61–72. https://doi.org/10.31980/plusminus.v3i1.1223
Wijaya, H. T., Sunardi, Yudianto, E., Cahyanita, E., & Aini, N. R. (2021). The development of the spatial visual-oriented geometry test to measure the creative thinking skills of elementary students. Journal of Physics: Conference Series, 1918(4). https://doi.org/10.1088/1742-6596/1918/4/042068
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