反例在数学教学中的作用

On functions of counter-examples in math teaching

当前,数学教学过程中,教师对反例的作用认识不够,教材也没有给予足够的重视。虽然证明在数学学习中有重要的作用,但是从哲学的角度出发,作为问题的另一方面,也应清楚反例在数学学习中的重要性。

Nowadays, during the math teaching process in middle schools, neither teachers nor the compilers of the teaching materials are fully aware of the importance of counter-examples. It is stated here that although testification plays a significant role in math teaching, philosophically, as the other side of the matter, enough importance should also be attached to counter-examples