Analysis of Student Errors in Learning the Integral Calculus Course with the Help of Artificial Intelligence (AI)

Abstract View: 8,
Download: 3

Authors

  • Titin Supriyatin Universitas Indraprasta PGRI
  • Noni Selvia Universitas Indraprasta PGRI
  • Syafa’atun Universitas Indraprasta PGRI

DOI:

https://doi.org/10.32665/james.v9i1.6353

Keywords:

Artificial intelligence, Integral calculus, Learning analysis, Student errors

Abstract

This study addresses a gap in mathematics education research concerning the use of artificial intelligence (AI) to analyze student errors in integral calculus. Error analysis in calculus is still commonly conducted manually by lecturers, making it time-consuming, potentially subjective, and difficult to implement consistently across an entire class. Although previous studies have examined student errors in calculus, limited research has explored AI as a systematic diagnostic tool, especially among non-mathematics students. Therefore, this study aims to identify the types of errors made by students in solving integral calculus problems using an AI-based system and to examine the role of AI in supporting more accurate and targeted diagnostic assessment. The participants were 30 second-semester students from the Biology Education Study Program at Universitas Indraprasta PGRI who were taking the Integral Calculus course. This study employed a descriptive qualitative approach. An AI-based system was used to analyze students’ responses to a set of integral calculus problems and classify them into four categories: conceptual errors, procedural errors, technical errors, and errors in understanding the problem. The results showed that conceptual errors were the most dominant, occurring in 45% of students, particularly in misunderstanding the meaning of integrals and misusing integration limits. Procedural errors were found in 30% of students, technical errors in 15%, and problem-understanding errors in 10%. This study contributes empirical evidence on student error patterns, strengthens the role of AI as a systematic diagnostic tool, and provides a practical basis for lecturers to design more targeted remedial instruction in higher education settings.

References

Alghadari, F. (2022). Correspondence between models and factors of student errors in solving contextual problems. Aksioma: Jurnal Program Studi Pendidikan Matematika, 11(4), 2799–2812. https://doi.org/10.24127/ajpm.v11i4.4946

Dorner, C., Ableitinger, C., Krammer, G., Dorner, C., & Ableitinger, C. (2026). Revealing the nature of mathematical procedural knowledge by analysing students’ deficiencies and errors. International Journal of Mathematical Education in Science and Technology, 57(3), 413–434. https://doi.org/10.1080/0020739X.2024.2445666

Ekamornaroon, T., Ngiamsunthorn, P. S., & Phaksunchai, M. (2024). Identifying common errors in polynomials of eighth grade students. International Journal of Evaluation and Research in Education (IJERE), 13(1), 57–66. https://doi.org/10.11591/ijere.v13i1.25131

Farhan, M., & Zulkarnain, I. (2019). Analisis kesalahan mahasiswa pada mata kuliah kalkulus peubah banyak berdasarkan Newman’s error analysis. JKPM (Jurnal Kajian Pendidikan Matematika), 4(2), 121–130. https://doi.org/10.30998/jkpm.v4i2.3843

Farrokhnia, M., Latifi, S., Papadopoulos, P. M., & Hogenkamp, L. (2026). Generative AI offers more, but students revise less: Comparing the effects of teacher and AI feedback on student essay revisions. International Journal of Educational Technology in Higher Education, 23(1), 9. https://doi.org/10.1186/s41239-026-00579-9

Ferdiánová, V., & Konečná, P. (2025). Understanding and supporting student problem solving in mathematics exams with artificial intelligence. Proceedings of the European Conference on e-Learning, 113–121. https://doi.org/10.34190/ecel.24.1.3925

Islamiyah, W., Suryadi, D., & Gulvara, M. A. (2023). Kesalahan siswa pada soal cerita fungsi kuadrat berdasarkan teori Nolting. Edumatica: Jurnal Pendidikan Matematika, 13(3), 191–200. https://doi.org/10.22437/edumatica.v13i03.26254

Jefrizal, et al. (2021). Analisis kesalahan konseptual, prosedural, dan teknis siswa pada materi aritmatika sosial. Suska Journal of Mathematics Education, 7(2), 105–112. https://doi.org/10.24014/sjme.v7i2.13593

Mufidah, M. (2023). Analysis of conceptual, factual, principle, and skill errors based on students’ thinking ability: How is it connected to science learning? Jurnal Penelitian Pendidikan IPA, 9(5), 3815–3822. https://doi.org/10.29303/jppipa.v9i5.3209

Pargmann, J., Berding, F., Rebmann, K., & Riebenbauer, E. (2025). How AI feedback supports lesson planning in vocational teacher education: A longitudinal intervention study using an analytical AI platform. Empirical Research in Vocational Education and Training, 17(1), 43. https://doi.org/10.1186/s40461-025-00202-7

Qetrani, S., Ouailal, S., & Achtaich, N. (2021). Enhancing students’ conceptual and procedural knowledge using a new teaching approach of linear equations based on the equivalence concept. Eurasia Journal of Mathematics, Science and Technology Education, 17(7). https://doi.org/10.29333/ejmste/10938

Ridwana, et al. (2025). Implementasi kecerdasan buatan dalam perguruan tinggi Indonesia: Tingkat pemanfaatan dan tantangan. IJEDR: Indonesian Journal of Education and Development Research, 3(2), 931–936. https://doi.org/10.57235/ijedr.v3i2.5796

Suharyati, H. (2023). Analisis rendahnya motivasi belajar mahasiswa dengan teknik pemecahan masalah kreatif. ILMA (Jurnal Ilmu Pendidikan dan Keagamaan), 2(1), 58–66. https://doi.org/10.58569/ilma.v2i1.610

Sumargiyani, & Nafi, B. (2020). Analisis kesulitan mahasiswa dalam menyelesaikan soal kalkulus diferensial. PRISMA, 3, 591–598. https://doi.org/10.62383/bilangan.v3i3.609

Supriyatin, T., & Selvia, N. (2025). Kesalahan mahasiswa dalam menyelesaikan soal integral tak tentu berdasarkan teori Radatz. Proceeding Semnas Penabio, 1–13.

Ummah, M. S. (2019). Analisis kesalahan mahasiswa dalam menyelesaikan permasalahan integral tak tentu pada mata kuliah kalkulus integral. Jurnal Karya Pendidikan Matematika, 6(2), 27–33. https://doi.org/10.26714/jkpm.6.2.2019.27-33

Upu, A., Taneo, P. N. L., & Daniel, F. (2022). Analisis kesalahan siswa dalam menyelesaikan soal cerita berdasarkan tahapan Newman dan upaya pemberian scaffolding. Edumatica: Jurnal Pendidikan Matematika, 12(April), 51–60.

Wladis, C., Verkuilen, J., McCluskey, S., Offenholley, K., Dawes, D., Licwinko, S., & Lee, J. K. (2020). Relationships between procedural fluency and conceptual understanding in algebra for postsecondary students. HAL (Le Centre pour la Communication Scientifique Directe). https://hal.archives-ouvertes.fr/hal-02416499

Yusuf, Z., & Darmawan, A. (2019). Faktor penyebab kesalahan mahasiswa dalam kalkulus diferensial. Jurnal Pendidikan Sains dan Teknologi, 2(4), 89–96. https://doi.org/10.24127/AJPM.V11I2.5093

Zhang, Y., Li, H., Song, D., Sun, L., & Xu, T. (2025). From correctness to comprehension: AI agents for personalized error diagnosis in education. arXiv. https://doi.org/10.48550/arXiv.2502.13789

Downloads

Published

2026-04-30
Abstract View: 8, PDF Download: 3