Syafa’atun
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Analysis of Student Errors in Solving Differential Calculus Problems on Absolute Inequalities and Functions Continuity Supriyatin, Titin; Syafa’atun
Journal of Mathematics Education and Science Vol. 8 No. 1 (2025): Journal of Mathematics Education and Science
Publisher : Universitas Nahdlatul Ulama Sunan Giri Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32665/james.v8i1.4095

Abstract

his study aims to analyze the errors made by students in solving differential calculus problems, particularly in the topics of absolute value inequalities and the continuity of functions. The research involved 64 students from the Biology Education Program at Universitas Indraprasta PGRI who were enrolled in a differential calculus course during the spring semester of the 2024/2025. The research method employed was a descriptive qualitative approach with error analysis. Data was collected by administering differential calculus problems involving absolute value inequalities and function continuity, which were then analyzed based on the types of errors made by the students. By using radatz  the Error Analysis Theory , that The results showed that the errors made by students could be categorized into two main types: conceptual errors and computational errors. Conceptual errors included a lack of understanding in applying the definition of absolute value inequalities in certain cases, as well as difficulties in identifying points of discontinuity in functions. Computational errors were related to inaccuracies in performing differential calculations and in applying basic calculus theorems related to function continuity. These findings highlight the need for a more comprehensive teaching approach to strengthen students' understanding of fundamental theory and technical skills, as well as the importance of diverse problem-solving practice to reduce errors in concept application. This study is expected to contribute to the development of more effective strategies for teaching differential calculus among students.
ANALYSIS OF STUDENT ERRORS IN LEARNING THE INTEGRAL CALCULUS COURSE WITH THE HELP OF AI (Artificial Intelligence) Titin Supriyatin; Noni Selvia; Syafa’atun
Journal of Mathematics Education and Science Vol. 9 No. 1 (2026): Journal of Mathematics Education and Science
Publisher : Universitas Nahdlatul Ulama Sunan Giri Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32665/james.v9i1.6353

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.