基于问题驱动法的多元函数偏导数教学

The Partial Derivative Teaching of Multivariate Functions Based on the Problem-Driven Method

摘要: 根据高等数学高度抽象的特点，以问题驱动为导向的高等数学课程的教学方式受到越来越多的关注。本文将以高等数学中多元函数偏导数为引例，充分讨论了适当引入问题是提高学生课堂学习效率的有效方法之一。问题驱动下的教学方式就是要求教师根据课堂内容精心组织一系列问题，引导学生积极思考，深刻理解课堂内容的本质特点与核心思想，同时反过来，学生通过思考，再提出问题。这样一个良性循环的教学模式不仅有利于提高课堂教学效率，而且在一定程度上可以激发和增加学生自主自觉求知的动力。

Abstract: According to the characteristics of high abstraction of advanced mathematics, more and more attention has been paid to the problem-driven teaching method of advanced mathematics curriculum. In this paper, the partial derivative of multivariate function in advanced mathematics is taken as an example to fully discuss that posing proper questions is one of the effective methods to improve students’ learning efficiency in class. The problem-driven teaching method requires teachers to carefully organize a series of questions according to the teaching content, and guide students to think positively and deeply understand the essential characteristics and core ideas of the teaching content. At the same time, students ask questions through thinking. Such a virtuous circle of teaching mode is not only conducive to improve the efficiency of classroom teaching, but also to a certain extent can stimulate and increase the motivation of students to consciously seek knowledge.