情景模拟法在高校微积分教学中的应用——以模拟运动过程为例

摘要

本文针对高校微积分教学的对象主要为高校低年级学生的特点,探讨情景模拟法在高校微积分教学中的应用。本文重点选取物理中的运动过程作为基本情景对微积分的基本概念进行分析,分别选取匀速直线运动、匀加速直线运动和变加速直线运动等,通过从微积分角度对它们重新分析,很自然地得出微积分理论中的定积分、不定积分、二重积分等几个问题的基本原理,以此表明情景模拟法在微积分教学中的有效性。%In this article,the junior students were assumed to be object of teaching college calculus in university.On this basis,application of scene simulation method in calculus teaching was discussed.The physical movement processes,such as uniform linear motion,acceleration in the linear motion and variable speed up linear motion,were re-analyzed from the view of calculus.By the analysis,the basic principle of calculus theory was naturally drawn,such as definite integral calculus,indefinite integral,issues of the double integral.It was suggested that the scene simulation method was effective in the teaching of calculus.