关于高等数学中无穷级数内容教学的一点思考

Thinkings of the Infinite Series Content in Higher Mathematics Teaching

无穷级数是高等数学的一个重要组成部分,形式上为相对独立的一块内容,理论上更为抽象,学生在学习这章内容时大多感觉比较困难,在判别级数敛散性时往往思路不清。针对这种状况,本文谈谈几点看法:(1)教师在开始讲授这章内容时,应该向学生介绍清楚学习本章内容的作用所在;(2)对于这章内容的教学,教师应该有所侧重讲解,讲课的顺序也不能完全同于教材的排版顺序;(3)在讲授正课时,教师应该对学生讲解最常用而又有简单有顺序的敛散性判别法。

Infinite series is an important part of higher mathemat-ics. It is a piece of relatively independent content formally. It is more abstract in theory. Students find it more difficult in studying the content of this chapter, and the thought is more confused in distinguishing the series convergence. In view of this phe-nomenon, this paper proposed some suggestions： （1） Teachers should explicit the functions of the content of this chapter firstly;（2） Teachers should have their own teaching content arrange-ments, which can not be completely the same as the material composing orders; （3） Teachers should conclude the most com-monly used and the order of the series convergence criterion to the students.