基于计算机代数系统环境下的数学分析教学研究

Integrating computer algebra system into Mathematical Analysis teaching

数学分析课程是高等院校数学专业一门最重要的基础课程,学生对此门课程的学习效果直接影响对后续课程的学习。所以如何上好数学分析这门课程,是任课教师应该积极思考,认真反思的问题。对计算机代数系统应用到教学中的情况进行分析讨论。计算机代数系统在数学分析教学中是一种重要的认知工具,对教师和学生都有很大的影响,计算机代数系统不仅是有效的运算、作图工具,并且为数学实验及其他数学实践教学提供了的强有力保障,对数学思维的培养有很大作用。数学分析教学利用计算机代数系统不但可以使学生掌握数学知识,而且可以提高学生的创造力及应用能力。

Mathematical analysis, an essential course for math ma）ors in college, has a great effect on the learning of other courses of further study. Therefore teachers need to think deeply and creatively about how to conduct the course effectively. This paper discusses how to integrate computer algebra system into mathematical analysis teaching. As an important cognitive tool in mathematical analysis teaching, computer algebra system has a great impact on both teachers and students. It not only works as an efficient computational and graphing tool but also serves as a strong guarantee for mathematical experiments and other practice teaching, which contributes a great deal to cultivating students＇ mathematical thinking. Applying computer algebra system to mathematical analysis teaching enables students to acquire mathematical knowledge and at the same time inspire their innovation and improve practical ability.