微分中值定理的教学实践与探索

Practice and Exploration in Teaching the Differential Mean Value Theorem

通过对微分中值定理的教学过程进行探究,优化教学设计,启发引导学生从观察几何事实、了解历史背景、挖掘思想方法、思考拓展问题等四个方面逐步加深对微分中值定理的认识,以此提高课堂教学效果,培养学生的数学能力,为微分中值定理的应用打下基础.

Based on the Differential Mean Value Theorem, this paper discusses the teaching process, optimizes teaching design, and guides students to gradually understand the Differential Mean Value Theorem with the four aspects： observing the geometric facts, understanding historical background, excavating thinking method and expanding questions. Therefore, teachers will be able to improve the effectiveness of classroom teaching, cultivate students＇ mathematical ability and lay the foundation of the application of the Differential Mean Value Theorem.