中学数学教学中反例的作用

Application of Counterexamples in Middle School Mathematics Teaching

反例在中学数学教学中具有较大的作用,文章介绍了反例的重要性,以及在教学中构造反例的原则和方法。通过论述反例在教学中的作用,指出合理运用反例可加深学生对数学概念的理解,帮助学生发现问题,很好地培养和训练学生的思维能力等,并给出了运用反例的同时也需要注意的两个问题。

Counterexamples play a greater role in middle school mathematics teaching.The article introduces the importance of counterexamples and the principles and methods of constructing counterexamples in teaching.By discussing the role of counterexamples in teaching,it is pointed out that the rational use of counterexamples can deepen students'understanding of mathematical concepts and principles,help students discover problems,and cultivate and train students'thinking ability well.Two issues that should be paid attention to when using counterexamples are also given.