论文部分内容阅读
数学中的反例,是指符合某个命题的条件,而又不符合该命题结论的例子,它是用已知真的事实去揭示另一判断的虚假性。在数学中反例因其简明、直观、说服力强等突出特点,决定了它在数学教学中起着不可替代的作用。反例在笔者的教学中常常用到,通过反例对学生所犯错误加以剖析,让学生从分析中认识产生错误的原因,这对他们准确、深刻理解概念、定理、公式,培养他们分析问题、解决问题的能力,激发他们的学习兴趣。本文笔者拟谈谈在教学实践中反例的一些妙用。
Counterexamples in mathematics refer to those that conform to the conditions of a proposition but do not conform to the conclusion of the proposition. They reveal the falsehood of another judgment by using the known fact. Counterexample in mathematics because of its concise, intuitive, strong persuasion and other salient features, it determines that it plays an irreplaceable role in mathematics teaching. Counterexamples are often used in the teaching of the author to analyze the mistakes made by the students through counterexamples so that students can understand the causes of mistakes from the analysis. This will help them understand the concepts, theorems and formulas accurately and profoundly, train them to analyze and solve the problems The problem’s ability to stimulate their interest in learning. The author of this article intends to talk about some magical effects of counterexamples in teaching practice.