数学证明教学的思考

Reflection upon the Teaching of Mathematical Proof

数学证明是指根据某个或某些真实命题和概念去判定另一命题的真实性的推理过程.数学证明的教学建议:数学证明的教学应重视数学家的意见;数学证明的教育可以借鉴匈牙利经验,"数学教学应当是以演绎为主、归纳为辅";数学证明的教学应坚持分层要求的原则;应适当加强对数学证明方法的教学.

Mathematical proof is a reasoning process of judging whether a proposition is true or not based on one or more true propositions.Some suggestions for the teaching of mathematical proof are presented:enough respect must be given to the mathematicians for their advice concerning the teaching of mathematical proof;the Hungarian experience can serve as a referential example in mathematical teaching which believes that mathematical teaching is more of deduction than induction;mathematical proof shall adhere to the principle of stratification;methods for mathematical proof shall be taught with greater effort.