积分概念的横向教学研究

Research on the Horizontal Teaching of Integral Concept

积分学作为高等数学的重要组成部分,是教学的重点,在对学生的数学能力培养中的作用不容忽视。定积分、重积分、第一型曲线积分和第一型曲面积分的概念本质是一致的,该文从定积分概念入手,将其他积分概念与定积分概念类比,从数量关系上统一做横向介绍,达到展示数学思维的过程,培养学生的数学思维能力的教学目的。

Integral learning as an important part of higher mathematics,is the focus of teaching,in the development of students’ mathematical ability can not be ignored.Definite integral,double integral,type 1 curve integral and surface integral type 1,the concept of nature is the same.In this paper,starting from the concept of definite integral,the other integral concept with the concept of definite integral analogy,unified to introduce horizontal from the quantitative relation,to demonstrate the process of mathematical thinking,develop the students’ ability of mathematical thinking teaching purpose.