问题驱动下的二次型教学策略

A Quadratic Teaching Strategy Driven by Problems

二次型是大学数学的重要组成部分,但是传统二次型的教学重证明和逻辑严密性,轻思想性.本研究构建恰当的启发性问题,引导学生理解二次型的概念生成过程、方法和定理的发现过程以及规定的背景,也就是二次型的教学形态.

The quadratic form is an important part of College Mathematics,but the traditional teaching of quadratic form pays more attention to proof and logical strictness than thought.This paper constructs appropriate heuristic problems to guides students to understand the generation process of the concept,the discovery process of methods and theorems,and the background of relevant regulations of quadratic forms,that is,the educational form of quadratic form.