一个关于证明矩阵等式的教学实例

A Matrix Identity and Summarizing Ability

介绍培养学生归纳总结能力的一个教学实例,即从一个矩阵等式的证明入手,启发学生对相关矩阵等式的命题进行总结和扩展,从具体的习题通过总结提炼出更一般的结论,并给出严格论证.

In this paper, teaching examples for students＇ summarizing ability are illustrated. Using a matrix identity and its proof as an example, students are encouraged to expand the results and to generalize the conclusions from some specific exercises. Students＇ abstract thinking ability is also lifted through the practice.