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1.反例,就是故意变换事物的本质属性,使之质变为其他知识。在引导思辩中,反例可以从反面突出事物的本质属性的否定例证。数学是一门严密的科学,它由两个大类——证明和反例组成,数学发现主要是提出证明和构造反例。从科学性来讲,运用反例是推翻错误命题的有效手段;从教学上来讲,分析反例能够加深对正确结论的全面理解。因此,运用好反例是实现数学有效课堂的一种
1. Counterexamples, that is, deliberately changing the essential attributes of things, make them qualitative change to other knowledge. In guiding thought, counterexamples can highlight negative examples of the essential attributes of things. Mathematics is a rigorous science, which consists of two major categories - proofs and counterexamples, and mathematical findings are primarily proofs and counter-examples. From a scientific perspective, the use of counter-examples is an effective way to overthrow false propositions; from a teaching perspective, the analysis of counterexamples can deepen the overall understanding of correct conclusions. Therefore, the use of good examples is to achieve effective mathematics classroom