高等代数“一题多解”与“一解多关”相关思考

Reflections on the Issues of "Multi-solution" and "Multi-perspective Problem" in Advanced Algebra

在文章的第一部分,给出高等代数的一个习题并用多种方法证明它.文章的第二部分给出另一个习题并提供涵盖高等代数许多分支内容的一个证明.通过阐述高等代数各分支内容间的内在联系,为高等代数的教学提供一些思想方法.

In the first part of the article,we discuss multiple solutions to one algebra problem.In the second part,the problem addressed is provided with a solution related to multiple issues in advanced algebra.In illustrating the internal relations between the various branches of advanced algebra,we make an effort to provide multiple perspectives on the teaching of advanced algebra.