中学数学逻辑教学的探讨

A Brief Analysis of Logic Mathematics Teaching in Senior High School

高中数学课本介绍一些初步的逻辑知识,对于培养学生的逻辑思维能力,提高学生对于数学的理解,避免学生逻辑错误的发生,都有一定的作用。本文阐述了逻辑与数学的同一性、差异性和互补性;对中学简易逻辑教学中的命题、逆否命题与反证法、充要条件、命题的否定等进行了一些探讨;最后研究了逻辑与集合的关系,以期对中学数学逻辑的教学有所帮助。

Some preliminary knowledge on logic is introduced in current high school mathematics,which plays a positive role to develop students＇ logical thinking ability,to improve students＇ mathematical understanding,and to avoid the occurrence of the student logic errors.This paper digs more on identity,difference and complementarity between logic and mathematics as well as discussion on Proposition,Inverse negative proposition,Reduction to absurdity,Necessary and sufficient condition and Propositional negation.Finally,some research on relationship of logic and collection is given.Help can be expected on high school mathematical logic teaching.