期刊名称：Eurasia Journal of Mathematics, Science & Technology Education
印刷版ISSN：1305-8223
电子版ISSN：1305-8223
出版年度：2016
卷号：12
期号：9
页码：2331-2352
DOI：10.12973/eurasia.2016.1289a
出版社：Pamukkale Univ Dept Sci Education
摘要：The purpose of this study is to design a modeling task to facilitate students’ inquiries into the chain rule in calculus and to analyze the results after implementation of the task. In this study, we take a modeling approach to the teaching and learning of the chain rule by facilitating the generalization of students’ models and modeling activities. We assumed abductive reasoning to be one of the key factors which can support the generalization of students’ models and modeling activities. We believe that analogical reasoning and diagrammatic reasoning are key factors in fostering students’ use of abduction. As a result, we determined that the students’ models and modeling activities were generalized to the chain rule by their use of abductive reasoning, and the students found the chain rule to be a generalized rule for describing changes of various quantities
