Abstract: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.