基于问题驱动的梯度教学设计

A Problem-Driven Teaching Design for Gradient

对高等数学中的一个较难理解的概念——梯度,采取问题驱动的教学模式进行教学设计.从生活中的两个常见问题入手,引出梯度概念,得到了梯度与方向导数的关系.借助梯度的几何意义解决问题.该设计方法辅以现代信息技术,帮助学生更好的理解梯度,取得了良好的教学效果.

This paper adopts the problem-driven teaching model to discuss the teaching design of gradient which is a difficult concept in higher Mathematics.Starting with two common problems in life,the concept of gradient is guided.Then the relation between gradient and directional derivative is obtained.With the aid of the geometric meaning of the gradient,the problem is solved.The design method which is supplemented by modern information technology can help students to better understand the gradient.It achievs good teaching effect.