Mathematica软件在无穷级数教学中的应用

无穷级数是高等数学教学中的一个难点,其内容高度抽象。如何生动形象地把无穷级数讲授出来,是数学教师经常探索的问题。利用Mathematica软件强大的符号计算和图形处理功能,可以加强这部分教学内容的几何直观,弥补学生空间想象能力的不足。实践证明,教学中辅以Mathematica软件,借助于多媒体技术实现抽象数学概念和理论的直观可视化,不仅可以提高学生的学习兴趣、加深对教学内容的理解,而且还可以开展研究性学习,丰富学生的创造性思维。

The Application of Mathematica Software to Infinite Series Teaching

Due to its highly abstract content, infinite series is a diffieuh point in the teaching of higher mathematics. How to teach the infinite series vividly and appropriately is always in the mind of a math teacher. Mathematica software, with a powerful computing of symbols, and graphie functions, can enhance the geometrical visual of teaching this content, which can also make up for students＇ deficiency in spatial imagination. Practice has proved that teaching with Mathematica software and multi-media technology which visualize abstract mathematical concepts and theories can not only arouse students＇ interest in study and deepen their understanding of the content but also develop their inquiry learning and their creative thinking as well.