启发式教学在微分中值定理教学中的应用

An Application of Elicitation Method of Teaching in the Teaching Differential Mean Value Theorem

摘要: 微分中值定理是微积分学中至为重要的定理，它是联系导数与函数性质的桥梁。本文讨论如何采用启发式教学方法，帮助学生更好地理解掌握微分中值定理。通过教学，鼓励学生善于观察、勤于思考、精于总结；培养学生发现问题、分析问题、解决问题的能力。

Abstract: The differential mean value theorems are among the most important theorems in calculus. It is a bridge between derivative and properties of function. In this paper, we discuss how to use elicitation method of teaching to help students better understand and master differential mean value theorems. Through teaching, we want to encourage students to be better at observing, thinking and summarizing. Meanwhile, we want to improve students’ ability to find, analyze and solve problems.