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http://dx.doi.org/10.7468/jksmee.2019.33.3.335

Exploring Alternative Ways of Teaching derivatives  

Kim, Sun Hee (Kangwon National University)
Kim, Tae Seok (Yubong Girls' High School)
Cho, Jin Woo (Gyeongin National University of Education)
Publication Information
Communications of Mathematical Education / v.33, no.3, 2019 , pp. 335-354 More about this Journal
Abstract
The purpose of this study is to explore alternative ways of teaching derivatives in a way that emphasizes intuition. For this purpose, the contents related to derivatives in Korean curriculum and textbooks were analyzed by comparing with contents in Singapore Curriculum and textbooks. Singapore, where the curriculum deals with derivatives relatively earlier than Korea, introduces the concept of derivatives and differentiation as the slope of tangent instead of the rate of instantaneous change in textbook. Also, Singapore use technology and inductive extrapolation to emphasize intuition rather than form and logic. Further, from the results of the exploration of other foreign cases, we confirm that the UK and Australia also emphasized intuition in teaching derivatives and differentiation. Based on the results, we discuss the meaning and implication of introducing derivatives and teaching differentiation in a way that emphasizes intuition. Finally, we propose the implications for the alternative way of teaching differentiation.
Keywords
Derivatives; Differentiation; Intuition; Singapore; International comparison; Textbook;
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