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http://dx.doi.org/10.7468/jksmee.2015.29.1.131

An Analysis on the Understanding of High School Students about the Concept of a Differential Coefficient Based on Integrated Understanding  

Lee, Hyun Ju (kyungdeok middle School)
Ryu, Jung Hyeon (Sannam High School)
Cho, Wan Young (Dept. of Mathematics Education, Chungbuk National Univeristy)
Publication Information
Communications of Mathematical Education / v.29, no.1, 2015 , pp. 131-155 More about this Journal
Abstract
The purpose of this study is to investigate if top-ranked high school students do integrated understanding about the concept of a differential coefficient. For here, the meaning of integrated understanding about the concept of a differential coefficient is whether students understand tangent and velocity problems, which are occurrence contexts of a differential coefficient, by connecting with the concept of a differential coefficient and organically understand the concept, algebraic and geometrical expression of a differential coefficient and applied situations about a differential coefficient. For this, 38 top-ranked high school students, who are attending S high school, located in Cheongju, were selected as subjects of this analysis. The test was developed with high-school math II textbooks and various other books and revised and supplemented by practising teachers and experts. It is composed of 11 questions. Question 1 and 2-(1) are about the connection between the concept of a differential coefficient and algebraic and geometrical expression, question 2-(2) and 4 are about the connection between occurrence context of the concept and the concept itself, question 3 and 10 are about the connection between the expression with algebra and geometry. Question 5 to 9 are about applied situations. Question 6 is about the connection between the concept and application of a differential coefficient, question 8 is about the connection between application of a differential coefficient and expression with algebra, question 5 and 7 are about the connection between application of a differential coefficient, used besides math, and expression with geometry and question 9 is about the connection between application of a differential coefficient, used within math, and expression with geometry. The research shows the high rate of students, who organizationally understand the concept of a differential coefficient and algebraic and geometrical expression. However, for other connections, the rates of students are nearly half of it or lower than half.
Keywords
integrated understanding; differential coefficient;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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