高等数学教学中反例的作用

The Function of Counter-examples in Higher Mathematics Teaching

在高等数学教学中,恰当地利用反例,不仅能使学生准确地理解定义、正确掌握定理,还能纠正学生的错误认识,激发学生探讨问题的兴趣,培养学生数学思维能力。

Using counter- examples appropriately in higher mathematics teaching can not only make the student understand and grasp the definition, but also correct students＂ errors, stimulate their interest in discussing and raise their mathematic thought ability.