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A study for Build the Concept Image about Natural Logarithm under GeoGebra Environment  

Lee, Jeong-Gon (Division of Mathematics and Infomational Statistics, Wonkwang University)
Publication Information
Journal for History of Mathematics / v.25, no.1, 2012 , pp. 71-88 More about this Journal
Abstract
The purpose of this study is to find the way to build the concept image about natural logarithm and the method is using definite integral in calculus under GeoGebra environment. When the students approach to natural logarithm, need to use dynamic program about the definite integral in calculus. Visible reasoning process through using dynamic program(GeoGebra) is the most important part that make the concept image to students. Also, for understand mathematical concept to students, using GeoGebra environment in dynamic program is not only useful but helpful method of teaching and studying. In this article, about graph of natural logarithm using the definite integral, to explore process of understand and to find special feature under GeoGebra environment. And it was obtained from a survey of undergraduate students of mathmatics. Also, relate to this process, examine an aspect of students, how understand about connection between natural logarithm and the definite integral, definition of natural logarithm and mathematical link of e. As a result, we found that undergraduate students of mathmatics can understand clearly more about the graph of natural logarithm using the definite integral when using GeoGebra environment. Futhermore, in process of handling the dynamic program that provide opportunity that to observe and analysis about process for problem solving and real concept of mathematics.
Keywords
Natural Logarithm; Definite Integral in Calculus; Build the Concept; Concept Image; GeoGebra;
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