例论非数学专业《高等数学》教学中数学思想的渗透

On Permeation of Mathematical Thought in Teaching “Advanced Mathematics” for Non-mathematics Majored Students

《高等数学》课程教学中存在着重计算、轻思想的现象,然而数学不单纯是一种工具,数学的精髓在于它向人们提供了分析问题和解决问题的思想方法.以微积分教学为例,在课程的绪论课中,遵循数学教育的现实、数学化及再创造原则,通过微积分产生背景下两类现实问题的解决过程,感悟微积分的基本思想方法——微元分析法,体会数学思想方法的价值和魅力.

In the teaching process of“advanced mathematics”,calculation is thought more important than mathematic thought.However,maths is more than a tool,it provides people with the thought and method to analyze and solve problems.Taking calculus teaching for example,this paper follows the principle of maths education,which is“mathematicization and recreation”,to introduce the basic thought method--microelement analysis and experience the value and charm of mathematical thought,through the practical procedure to solve two types of realistic problem under the background of calculus.