从“四边形内角和定理”的证明谈数学思维的严谨性

A Talk on the Rigor of Mathematical Thinking by Proving Quadrangle Interior Angle and Theorem

发散思维的训练有利于学生创造能力的培养,但实际教学中老师往往一味地为了开拓学生的思维而忽视了数学的严谨性和科学性。本文以四边形内角和定理的证明为例,指出教师在培养学生发散思维过程中存在的问题,并提出改进的意见。

The training of divergent thinking is good for cultivating students＇ creativity.However,teachers often neglect the students＇ mathematical vigor and science because of the focus on developing students＇ thinking.This paper,by proving quadrangle interior angle and its theorem,points out the problems in cultivating students＇ divergent thinking and presents corresponding solutions.