Analysis of Students’ Learning Obstacles in The Differential Equations Course Reviewed from Their Problem-Solving Ability

  • Hasriani Ishak Universitas Khairun, Ternate,  Indonesia
  • Ardiana Ardiana Universitas Khairun, Ternate,  Indonesia
  • Marwia Tamrin Bakar Universitas Khairun, Ternate,  Indonesia
  • Lamanisa Rasid Saputra University of Washington, Seattle,  United States
Keywords: Problem solving, Differential Equation, Learning obstacles

Abstract

Objective: This study examines the obstacles students may encounter when learning to solve differential equations with mathematical problem-solving. Method: A qualitative study with observation and interviews was conducted on the 5th-semester students of the Mathematics Education Study Program, Khairun University, Ternate, who took the Differential Equations course to explore students' mathematical problem-solving abilities. Samples were selected by purposive sampling by selecting two students each from the low, medium, and high problem-solving ability categories. Results: Based on the results of this study, the obstacles that students faced in studying differential equations were ontogeny obstacles, didactic constraints, and epistemological constraints. Several efforts can be made to help students overcome these barriers, such as improving students' collaborative skills, providing constructive feedback, strengthening students' learning motivation through contextual learning, and reflecting on students' learning processes. Novelty: The result of this research contributes to helping lecturers design learning that makes it easy to learn differential equation courses.

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References

Akbari, O., & Sahibzada, J. (2020). Students’ self-confidence and its impacts on their learning process. American International Journal of Social Science Research, 5(1), 1–15. https://doi.org/10.46281/aijssr.v5i1.462

Alshahrani, B. F., & Khasawneh, M. A. S. (2024). Online professional development and cognitive growth: A quantitative analysis for special education educators. Journal of Infrastructure, Policy and Development, 8(8), 1-11. https://doi.org/10.24294/jipd.v8i8.5240

Ansori, A., & Mathematics, P. S. (2020). Analysis of resilience ability in improving students' mathematical connection ability. Journal of Primary Mathematics Instruction, 3(4), 353–362. https://doi.org/10.22460/jpmi.v3i4.353-362

Bernacki, M. L., Greene, M. J., & Lobczowski, N. G. (2021). A systematic review of research on personalized learning: Personalized by whom, to what, how, and for what purpose(s)? Educational Psychology Review, 33(4), 1-12. https://doi.org/10.1007/s10648-021-09615-8

Brousseau, G. (2002). Foundations and methods of didactique. Theory of Didactical Situations in Mathematics: Didactique des Mathématiques. Springer. https://doi.org/10.1007/0-306-47211-2

Chacón-Castro, M., Buele, J., López-Rueda, A. D., & Jadán-Guerrero, J. (2023). Pólya’s methodology for strengthening problem-solving skills in differential equations: A case study in Colombia. Computers, 12(11), 239-245. https://doi.org/10.3390/computers12110239

Chen, S. Y., & Wang, J.-H. (2021). Individual differences and personalized learning: A review and appraisal. Universal Access in the Information Society, 20(4), 833–849. https://doi.org/10.1007/s10209-020-00753-4

Cottrell, S. (2023). Critical thinking skills: Effective analysis, argument and reflection. Bloomsbury Publishing.

Crandall, J. L. (2022). Differential equations course delivery and its relationships to mathematical problem framing in engineering. Washington State University.

Fauziah, I. S., & Habibah, S. (2017). Upaya meningkatkan motivasi belajar siswa melalui lesson study di kelas V SD Negeri Lampagen Aceh Besar. Jurnal Ilmiah Pendidikan Guru Sekolah Dasar, 2(1), 30–38.

Fenici, M., & Mosca, I. (2023). Gamebooks and branching narratives in education: Fostering sustainability competences to promote positive social change. Frontiers in Education, 8(January), 1–14. https://doi.org/10.3389/feduc.2023.1335605

Geary, D. C. (2012). Evolutionary educational psychology. In K. R. Harris, S. Graham, T. Urdan, C. B. McCormick, G. M. Sinatra, & J. Sweller (Eds.), APA educational psychology handbook, Vol. 1. Theories, constructs, and critical issues (pp. 597–621). American Psychological Association. https://doi.org/10.1037/13273-020

Grecu, Y. V. (2023). Differentiated instruction: Curriculum and resources provide a roadmap to help English teachers meet students’ needs. Teaching and Teacher Education, 125, 1-12. https://doi.org/10.1016/j.tate.2023.104064

Hendriyanto, A., Suryadi, D., Juandi, D., Dahlan, J. A., Hidayat, R., Wardat, Y., & Muhaimin, L. H. (2024). The didactic phenomenon: Deciphering students’ learning obstacles in set theory. Journal on Mathematics Education, 15(2), 517–544. http://dx.doi.org/10.22342/jme.v15i2.pp517-544

Herman, T., Rahmi, K., & Utami, N. S. (2022). Student learning obstacles in solving contextual mathematical problems. AIP Conference Proceedings, 2659(1), 1-7. https://doi.org/10.1063/5.0113653

Ishak, H., Sukestiyarno, Y. L., & Rachmad, S. M. (2022). Analysis of differential equation problem-solving abilities in terms of mathematical literacy skills. Journal of Positive School Psychology, 6(8), 7282–7294.

Ishak, H., Sukestiyarno, Y. L., Rochmad, R., Wardono, W., & Mariani, S. (2021). An analysis of the problem students use the PISA assessment guidelines for junior schools. In International Conference on Science, Education, and Technology, 7(1), 243–245.

Jatisunda, M. G., Suryadi, D., Prabawanto, S., & Umbara, U. (2024). Pre-service mathematics teacher conducting prospective analysis: A case study on practice didactical design research. Infinity Journal, 14(1), 21–44. https://doi.org/10.22460/infinity.v14i1.p21-44

Julie, H., Sanjaya, F., & Anggoro, A. Y. (2017). The students’ ability in mathematical literacy for the quantity, and the change and relationship problems on the PISA adaptation test. In Journal of Physics: Conference Series, 890(1), 1-7. https://doi.org/10.1088/1742-6596/890/1/012089

Julie, H., Sanjaya, F., & Anggoro, A. Y. (2023). The students’ ability in mathematical literacy for the quantity, and the change and relationship problems on the PISA adaptation test. Journal of Physics: Conference Series, 890(1), 1-12. https://doi.org/10.1088/1742-6596/890/1/012089

Lagarto, M. (2024). History education in Portugal: A 25-year overview. History Education Research, (3), 1–12. https://doi.org/10.14324/HERJ.21.1.15

Ludwig, M., & Jablonski, S. (2021). Step by step: Simplifying and mathematizing the real world with MathCityMap. Quadrante, 30(2), 242–268. http://dx.doi.org/10.48489/quadrante.23604

Luthfiatunnisa, R., & Hardi, H. (2024). Analysis of learning barriers and elementary school students' errors in solving mathematical story problems. JENIUS (Journal of Education Policy and Elementary Education Issues, 5(2), 62–73. http://dx.doi.org/10.22515/jenius.v5i2.8939

Manfreda K. V., & Hodnik, T. (2021). Mathematical literacy from the perspective of solving contextual problems. European Journal of Educational Research, 10(1), 467–483. https://doi.org/10.12973/eu-jer.10.1.467

OECD. (2019). PISA 2018 Assessment and analytical framework. Paris: OECD Publishing.

Peters, E. (2020). Innumeracy in the wild: Misunderstanding and misusing numbers. Oxford University Press.

Prabowo, A., Suryadi, D., Dasari, D., Juandi, D., & Junaedi, I. (2022). Learning obstacles in the making of lesson plans by prospective mathematics teacher students. Education Research International, 2022(1), 1-23. http://dx.doi.org/10.1155/2022/2896860

Ravindran, V. (2019). Data analysis in qualitative research. Indian Journal of Continuing Nursing Education, 20(1), 40–45.

Sitopu, J. W., Khairani, M., Roza, M., Judijanto, L., & Aslan, A. (2024). The importance of integrating mathematical literacy in the primary education curriculum: A literature review. International Journal of Teaching and Learning, 2(1), 121–134.

Supriadi, S. (2019). Didactic design of Sundanese ethnomathematics learning for primary school students. International Journal of Learning, Teaching and Educational Research, 18(11), 154–175. https://doi.org/10.26803/ijlter.18.11.9

Tririnika, Y., Suryadi, I., & Slamet, I. (2024). In-depth analysis of students' mathematical problem-solving skills: Influence factors, motivation, and effective teaching strategies. AL-ISHLAH: Jurnal Pendidikan, 16(3), 3752–3766.

Wijaya, S., Sarifah, I., & Nurjannah. (2023). Improving mathematics literacy ability using hybrid learning in elementary schools. Jurnal Pendidikan Dasar, 08, 4020–4033. http://dx.doi.org/10.23969/jp.v8i1.7037

Woods, P. J., & Copur-Gencturk, Y. (2024). Examining the role of student-centered versus teacher-centered pedagogical approaches to self-directed learning through teaching. Teaching and Teacher Education, 138, 1-12. https://doi.org/10.1016/j.tate.2023.104415

Yunianta, T. N. H., Suryadi, D., Dasari, D., & Herman, T. (2023). Textbook praxeological-didactical analysis: Lessons learned from the Indonesian mathematics textbook. Journal on Mathematics Education, 14(3), 503–524. https://doi.org/10.22342/jme.v14i3.pp503-524

Zahid, M. Z. (2021). Review of the 2021 PISA framework: The era of computational thinking integration in the field of mathematics. Proceedings of the National Mathematics Seminar, 3(2021), 706–713.

Zohuri, B. (2024). Revolutionizing education: The dynamic synergy of personalized learning and artificial intelligence. International Journal of Advanced Engineering and Management Research, 9(1), 143–153. https://doi.org/10.51505/ijaemr.2024.9111

Published
2025-01-30
How to Cite
Ishak, H., Ardiana, A., Bakar, M. T., & Saputra, L. R. (2025). Analysis of Students’ Learning Obstacles in The Differential Equations Course Reviewed from Their Problem-Solving Ability. IJORER : International Journal of Recent Educational Research, 6(1), 139-153. https://doi.org/10.46245/ijorer.v6i1.738
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Articles
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