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教学实践证明:恰当运用反例进行教学,可以有效培养学生思维的缜密性、全面性和创新性,帮助学生全面掌握巩固课堂知识,提高学习效率.因其具有简明、直观、说服力强的优势,成为数学教学中一种非常重要的教学手段和方式,日渐被人们重视和认可.在这几年的教学中,我也深刻体会到:恰当运用反例,引导学生从反面去思考问题,不但能使学生发现错误和漏洞,也能有效训练学生的发散思维.比如在判断题或证明题中,只需举出一个符合题设而与结论相矛盾的例子就能轻松得出答案.这样的方式明显运算量小,说明力强.因此在教学过程中,教师要恰当运用反例,通过分析例题的错解、知识点的错误认识,让学生在归纳、提炼的过程中发展多种思维能力.笔者结合教学实例,试从以下四方面谈谈反例教学法在高中数学教学
Teaching practice proves that proper use of counterexample teaching can effectively cultivate the meticulousness, comprehensiveness and creativity of students’ thinking so as to help students acquire a comprehensive knowledge of the classroom and improve their learning efficiency.Because of their advantages of conciseness, intuition and persuasion, Becoming a very important teaching method and method in mathematics teaching, which has been paid more and more attention and recognized by many people.In the past few years of teaching, I also deeply understand that proper use of counterexamples to guide students to think from the opposite side can not only make Students find mistakes and loopholes, but also can effectively train students’ divergent thinking.For example, in the judgment questions or proof questions, only need to give a match with the questions and contradictory examples can easily find the answer .This way is obvious Therefore, in the process of teaching, teachers should properly use counterexamples, by analyzing the mistakes of examples, misunderstanding of knowledge points, to enable students to develop a variety of thinking skills in the process of induction, refining. Teaching examples, try to talk about the following four aspects counterexample teaching in high school mathematics teaching