Error Patterns in Solving Ordinary Differential Equations: A SOLO Taxonomy-Based Analysis of Pre-Service Mathematics Teachers
DOI:
10.29303/jm.v7i2.9491Published:
2025-06-30Downloads
Abstract
This study aims to analyze students' errors in solving Ordinary Differential Equations (ODE) problems based on the SOLO taxonomy (Structure of the Observed Learning Outcome). This qualitative descriptive research involved 29 students from the Mathematics Education Study Program at the University of Mataram. Data were collected through essay tests and interviews, then analyzed using the SOLO taxonomy classification and error types based on the framework by Subanji and Mulyoto. The results show that most students were at the pre-structural, uni-structural, and multi-structural cognitive levels, with a dominance of conceptual and technical errors. Common mistakes included the use of incorrect formulas, errors in algebraic manipulation, and weak fundamental calculus skills. A lack of understanding of prerequisite concepts such as algebra and calculus was identified as the main factor contributing to these errors. These findings highlight the importance of strengthening basic concepts and implementing learning strategies based on the SOLO taxonomy to improve students' understanding of ODE topics
Keywords:
ordinary differential equations SOLO taxonomy conceptual errors technical errorsReferences
Ajudin, Sripatmi, Turmuzi, M., Novitasari, D., & Ayu Apsari, R. (2021). Proses berpikir mahasiswa berdasarkan taksonomi SOLO dalam penyelesaian masalah persamaan diferensial. Evolusi: Journal of Mathematics and Sciences, 5(2), 70–80.
Brown, M., Bossé, M. J., & Chandler, K. (2014). Student Errors in Dynamic Mathematical Environments. International Journal for Mathematics Teaching and Learning, 17(1), 75–89.
Farlina, E., Rachmawati, T. K., Ariany, R. L., Widiastutia, T. T., & Sobarningsih, N. (2018). Ordinary differential equations: Students’ difficulty in solve the algorithm of the initial value problem with the integrating factor method. IOP Conference Series: Materials Science and Engineering, 434(1). https://doi.org/10.1088/1757-899X/434/1/012010
Herholdt, R., & Sapire, I. (2014). An error analysis in the early grades mathematics-A learning opportunity? Background: Teachers learning from child assessment in national tests. South African Journal of Childhood Education |, 4(1), 42–60. https://doi.org/https://doi.org/10.4102/sajce.v4i1.46
Legutko, M. (2008). An analysis of students’ mathematical errors in the teaching-research process. In B. Czarnocha (Ed.), Handbook for mathematics teaching: Teacher experiment, A tool for research (pp. 141-152). University of Rzeszόw, Poland
Luneta, K., & Makonye, P. J. (2010). Learner errors and misconceptions in elementary analysis: A case study of a grade 12 class in South Africa. Acta Didactica Napocensia, 3(3), 35–46.
Maat, S. M., & Zakaria, E. (2011). Exploring students’ understanding of ordinary differential equations using computer algebraic system (CAS). TOJET: The Turkish Online Journal of Educational Technology, 10(3), 123–128.
Makamure, C., & Jojo, Z. M. (2022). An analysis of errors for pre-service teachers in first order ordinary differential equations. Eurasia Journal of Mathematics, Science and Technology Education, 18(6), 1–11. https://doi.org/10.29333/ejmste/12074
Makonye, P. J. (2016). Mathematics learner error analysis protocol. Proceedings of the Association for Mathematics Education of South Africa, 314–323.
Moradi, F., Rahimi, Z., & Cheraghi, M. (2024). Communication and connection in solving differential equation: analysis of factors affecting the understanding of mathematical concepts and Knowledge of technical and engineering students in solving differential equations. Journal of Institutional Research South East Asia CITE ARTICLE, 22(3), 231–250.
Nykamp, D. Q, (2015). An introduction to ordinary differential equations. Math Insight. http://mathinsight.org/ordinary_differential_equ ation_introduction
Putri, U. H., Mardiyana, M., & Saputro, D. R. S. (2017). How to Analyze the Students’ Thinking levels based on SOLO taxonomy? Journal of Physics: Conference Series, 895(1), 012031. https://doi.org/10.1088/1742-6596/895/1/012031
Tarigan, F. A. P., Surya, E., & Syahputra, E. (2019). The strategy in developing international baccalaureate (IB) high level thinking abilities in primary school mathematics learning (PYP). Journal of Education and Practice, 10(33), 37–42. https://doi.org/10.7176/jep/10-33-07
Yarman, Y., Fauzan, A., Armiati, A., & Lufri, L. (2020). Analysis of Student Errors in solving ordinary differential equations based on SOLO Taxonomye. Journal of Physics: Conference Series, 1554(1). https://doi.org/10.1088/1742-6596/1554/1/012065
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Copyright (c) 2025 Dwi Novitasari, Nourma Pramestie Wulandari, Ulfa Lu’luilmaknun
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