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http://dx.doi.org/10.7468/jksmee.2018.32.2.131

A study on understanding of differentiation  

Oh, Hye-Young (Department of Mathematics Education, Incheon National University)
Publication Information
Communications of Mathematical Education / v.32, no.2, 2018 , pp. 131-146 More about this Journal
Abstract
Differentiation with integration is an important subject which is widely applied in mathematics, natural science, and engineering. Derivative is an important concept of differentiation. But students don't understand its concept well and concentrate on acquiring only the skill to solve the standardized calculus problem. So they are poor at understanding of the concept of differentiation. In this study, after making a survey of differentiation on college students, we try to analyze errors which appeared in solving differentiation problem and investigate mathematics process of limiting process inherent in the derivative and historical development about derivative. Thus, we try to analyze the understanding of differentiation and present the results about this.
Keywords
rate of change; differentiation; tangent line; difference quotient; limiting process;
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