浅析“反例教学”在高等数学教学中的应用

On Application of "Counterexample Teaching" in Advanced Mathematics Teaching

从目前来看,数学教学中能力的培养依然集中在解题能力上。如果在高等数学的教学中,能充分利用反例,在讲述概念及定理应用以及解答一些数学问题时,就可以收到事半功倍的效果。适当的反例不仅有利于加深学生对数学中诸多概念和定理的理解,而且也有利于优化学生的思维结构,培养学生的创新能力。本文就对反例在高等数学中的应用做了深入的论述和分析。

Judging from the current situation, the ability of mathematics teaching is still concentrated in the ability to solve problems. Higher mathematics teaching, to make full use of counter-examples, about the concepts and theorems applications as well as answers to some mathematical problems, can have a multiplier effect. Counterexample is not only conducive to deepen students＇ understanding of the many concepts and theorems in mathematics, but also conducive to optimizing the structure of students＇ thinking, and develop students＇ ability to innovate. In this paper, counter-examples in higher mathemat- ics was discussed in depth and analyzed.