Badiyepeima Jahromi, Amin, Tabatabai, Amirali, Haghverdi, Majid. (1403). Analysis of student's understanding of the concept of derivative with a discrete approach. هنرهای کاربردی, 16(2), 219-234. doi: 10.22075/ijnaa.2023.32273.4791
Amin Badiyepeima Jahromi; Amirali Tabatabai; Majid Haghverdi. "Analysis of student's understanding of the concept of derivative with a discrete approach". هنرهای کاربردی, 16, 2, 1403, 219-234. doi: 10.22075/ijnaa.2023.32273.4791
Badiyepeima Jahromi, Amin, Tabatabai, Amirali, Haghverdi, Majid. (1403). 'Analysis of student's understanding of the concept of derivative with a discrete approach', هنرهای کاربردی, 16(2), pp. 219-234. doi: 10.22075/ijnaa.2023.32273.4791
Badiyepeima Jahromi, Amin, Tabatabai, Amirali, Haghverdi, Majid. Analysis of student's understanding of the concept of derivative with a discrete approach. هنرهای کاربردی, 1403; 16(2): 219-234. doi: 10.22075/ijnaa.2023.32273.4791

Analysis of student's understanding of the concept of derivative with a discrete approach

International Journal of Nonlinear Analysis and Applications
مقاله 18، دوره 16، شماره 2، اردیبهشت 2025، صفحه 219-234    اصل مقاله (942.9 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.32273.4791
نویسندگان
Amin Badiyepeima Jahromi1؛ Amirali Tabatabai* 1؛ Majid Haghverdi2
1Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
چکیده
This paper studies the engineering students' understanding of derivatives with a discrete approach using sequences introduced by Weigand (2014). This approach proposes a step-by-step method of difference sequence for functions defined on Z and Q. This concept was taught as part of a mathematics course in an engineering college at an Iranian university. HomeWorks with questions based on derivatives with a discrete approach were constructed and performed for the participants. Their written answers, which were used to explore the students' mental structures of these mentioned concepts, were analyzed using APOS (Action-Process-Object-Schema) theory. We performed interviews so that the students could explain their written answers. The results show that students tend to adopt an algorithmic approach when solving derivative problems and students' understanding of the meaning of derivative with a discrete approach was mainly procedural. Also according to the observed mental structures, a suggested genetic decomposition for the derivative with a discrete approach is presented.
کلیدواژه‌ها
Derivative؛ Difference sequences؛ APOS theory؛ Genetic decomposition
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