高等数学课程中基于GeoGebra软件的信息化教学

Information Teaching in Advanced Mathematics Based on GeoGebra

高等数学,又称微积分,是现代科学的重要基础.但是由于高等数学理论抽象,难度较大,致使很多学生产生畏惧心理,学习兴趣缺失.利用GeoGebra软件进行信息化辅助教学,实现数学可视化和动态演示,使学生能够直观地理解各种数学概念,有利于微积分思想的体现.文章介绍了基于GeoGebra软件辅助教学的一些案例,涵盖了微积分学的主要概念,例如极限、微分、定积分和重积分等.通过信息化辅助教学,可以使学生们更深刻地理解微积分中的数学思维,提高空间想象力,激发学习兴趣,加快了从初等数学的有限空间平稳过渡到高等数学的广维世界.

Advanced mathematics,which is also known as calculus an important foundation of modern science.However,it is abstract and difficult.Many students are afraid of calculus and lack interest in learning.Using GeoGebra and other software to carry out information-based auxiliary teaching one can realize mathematical visualization and dynamic demonstration,so that students can intuitively understand various mathematical concepts,which is conducive to the embodiment of calculus thought.In this paper,we briefly introduce some cases of auxiliary teaching based on GeoGebra,covering the main concepts of calculus,such as limit,differential,definite integral,multiple integral and so on.Through information assisted teaching,students can have a deeper understanding of mathematical thinking in calculus,improve their spatial imagination,stimulate their interest in learning,and make a faster and smooth transition from elementary mathematics to advanced mathematics.