由一道初中数学填空题引发的思考——用近世代数的观点

Thinking Caused by a Fill-in-the-blank Question in Junior High School Mathematics——From the Perspective of Modern Algebra

通过一道初中数学的基础填空题,引发了对数学本质的思考,进而用近世代数的观点解答了这道题;然后回到实际课堂当中,指出问题对初中数学教学的启示;最后把问题引向深入,通过近世代数的视角探索了一个因式分解的例子。

A basic fill-in-the-blank question in junior high school mathematics triggers the reflection on the nature of mathematics,and then the problem is solved from the perspective of modern algebra.This paper points out the enlightenment of the problem to the teaching of junior high school mathematics,and then explores an example of factorization from the perspective of modern algebra.