浅谈在高等数学教学中培养学生举一反三的能力

A Brief Discussion on Cultivating Students' ability to Draw Inferences from One Case in the Teaching of Higher Mathematics

对于大学数学而言,提高教师的授课水平,培养学生的理性数学思维和创新能力,是当前大学数学的教学目的。本文通过对高等数学中比较典型的概念和案例等知识点分析探讨,列举出教师在高等数学教学中培养学生举一反三能力的方法。通过这些方法,教师要做到引导学生主动思考,培养学生学会对所学知识点迁移类推,从多角度分析问题,最终做到触类旁通、举一反三。

For university mathematics,improving the teaching level of teachers and cultivating students' rational mathematical thinking and innovation ability are the teaching purposes of current university mathematics.Through the analysis and discussion of typical concepts and cases in higher mathematics,this paper lists the methods for teachers to cultivate students' ability to draw inferences from one case to another in the teaching of higher mathematics.Through these methods,teachers should guide students to think actively,train students to learn to transfer analogies to the knowledge points they have learned,analyze problems from multiple angles,and finally achieve bypassing and drawing inferences from one example.