对“实二次型的标准形”问题的教学思考

Some Reflections on "The Canonical Forms of Real Quadratic Forms"

从实二次型的基本问题出发,分析了目前高等代数及线性代数教材对该问题的处理现状,进一步结合教学实践,从内容、方法等方面提出关于实二次型的标准形教学的一些思考。

Starting from the problems of real quadratic form, this paper analyzes on the present situation of treatment about these problems on several types of teaching materials of ＂Advanced algebra＂ and ＂Linear algebra＂. Further, combining with teaching practice, it puts forward some views on the teaching contents and method about the canonical forms of real quadratic forms.