高等数学中极限定义教学的几点思考

Reflections upon Teaching the Definition of Limit in Higher Mathematics

极限的思想和方法是解决微积分问题的工具,极限定义教学是整个微积分教学的重点和难点,是学生学习高等数学的一道障碍,本文从极限概念发展的历史,极限定义的翻译,用极限的定义证明极限等三方面出发,厘清和阐释了极限定义的教学难点。

The concepts and methods of limit are the tool to solve the problem of caculus. Teaching the definition of limit is the key and difficulty in the overall teaching of caculus, which a barrier for higher mathematics study. The paper, through the development of limit, the version of its definition and the proof of limit by its definition, illustrates the difficult point of teaching the definition of limit.