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ERIC Number: EJ1107168
Record Type: Journal
Publication Date: 2016-Sep
Pages: 22
Abstractor: As Provided
ISSN: EISSN-1305-8223
How Can Students Generalize the Chain Rule? The Roles of Abduction in Mathematical Modeling
Park, Jin Hyeong; Lee, Kyeong-Hwa
EURASIA Journal of Mathematics, Science & Technology Education, v12 n9 p2331-2352 Sep 2016
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.
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Publication Type: Journal Articles; Reports - Research
Education Level: Grade 11; Secondary Education; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A