학습양식에 따른 함수의 연속과 미분가능성의 이해에 관한 연구

Abstract

It requires the clear understanding of general form of graph in the fundamental function, or definitions of limit, continuity and differential in order to perform the college general mathematics. The purposes of this thesis is to investigate and analyze the level of understanding in drawing the general form of graph on the function defined in the quadratic function, irrational function, and function in the domain given of condition as well as the concepts of limit, continuity and differential. As a result of analyzing the contents of investigation, there were a lot of college students who could not understand the general form drawing of graph on the function defined in the quadratic function, irrational function, and function in the domain given of condition as well as the concepts of limit, continuity and differential. In addition, this thesis has shown that the dependent college students lacked a little understanding the concept of general form drawing of graph, continuity, and differentiable than the independent college students. From the result of this research above, it may be summed up as follows. It is considered as there will be no difficulty in taking college general mathematics class by evaluating whether they understand the concept of fundamental function, limit, continuity, and concept of differential in the teaching and learning the college general mathematics. It requires the self-learning by supplying the information of their own mathematics learning status for the college students individually. Furthermore, this researcher considers there will be large effect in case of guidance in order to modify and complement the mutual learning mode with the teaching and learning in the process of performing the college general mathematics during the semester by forming the group with the college students who had different learning styles.