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Badiyepeima Jahromi, Amin, Tabatabai, Amirali, Haghverdi, Majid. (1401). The effectiveness of using APOS-ACE theory on students' understanding of the concept of derivative in a discrete learning environment. , (), -. doi: 10.30495/jnrm.2022.66489.2238
Amin Badiyepeima Jahromi; Amirali Tabatabai; Majid Haghverdi. "The effectiveness of using APOS-ACE theory on students' understanding of the concept of derivative in a discrete learning environment". , , , 1401, -. doi: 10.30495/jnrm.2022.66489.2238
Badiyepeima Jahromi, Amin, Tabatabai, Amirali, Haghverdi, Majid. (1401). 'The effectiveness of using APOS-ACE theory on students' understanding of the concept of derivative in a discrete learning environment', , (), pp. -. doi: 10.30495/jnrm.2022.66489.2238
Badiyepeima Jahromi, Amin, Tabatabai, Amirali, Haghverdi, Majid. The effectiveness of using APOS-ACE theory on students' understanding of the concept of derivative in a discrete learning environment. , 1401; (): -. doi: 10.30495/jnrm.2022.66489.2238

The effectiveness of using APOS-ACE theory on students' understanding of the concept of derivative in a discrete learning environment

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 آذر 1401  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2022.66489.2238
نویسندگان
Amin Badiyepeima Jahromi1؛ Amirali Tabatabai email 2؛ Majid Haghverdi3
1Central Tehran Branch,Islamic Azad University, Iran
2Central Tehran Branch, Islamic Azad University
3Islamic Azad University of Arak, Iran
چکیده
The aim of this study was to investigate the effectiveness of APOS-ACE theory on students' understanding of the concept of derivative in the discrete learning environment introduced by Wiegand (2014). In this approach, a step-by-step method to obtain difference sequence of functions defined on z and Q is proposed. For this purpose, a quasi-experimental method of pretest-posttest with control group was used to conduct this research. In the present study, 42 engineering students from one of the universities of Fars province, participated in two groups. Initially, a pre-test of both groups was taken using a researcher-made test. Then the ACE teaching cycle was designed with the help of GeoGebra software and in the experimental group, the concept of discrete derivative was taught using this cycle. Covariance was used to analyze the obtained data. Findings of this study showed that the use of ACE cycle has been effective on students' understanding of the concept of discrete derivative approach and gradually helped to a better understanding of the rate of change and the local rate of change with the help of sequences.
کلیدواژه‌ها
teaching and learning؛ difference sequence؛ derivative؛ APOS theory؛ ACE cycle
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تعداد مشاهده مقاله: 52


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