微积分教学中的数学思想方法的探究

微积分课程是高校高等数学教育中特别基础的一门课程,从内容体系上说,它主要包括微分和积分;从思维方法上说,它主要应用了一些极限思想、化直为曲思想等。数学思想方法是运用数学思维、对数学中的一些概念、结论等内容进行深刻思考,文章主要分析在微积分教学中数学思想方法的应用以及目前微积分教学中存在的一些问题及改进措施。

A calculus course is a special basic course in education of higher Mathematics in colleges and universities. From the content, it mainly includes the differential and integral and from the way of thinking, it mainly usessome limit thought, and the way to simplify what is complicated. Mathematics thinking method is to use mathematics thinking to think over mathematics concepts and conclusions. This paper mainly analyzes the application of mathematics thinking method in the teaching of calculus and some problems existing in the teaching of calculus and improvement measures.