试论在高师院校《实变函数》教学中引入现代数学思想的必要性及可能的途径

On the Necessity and Possible Ways of Leading Modern Mathematical Ideas into Teaching of Functions of Real Variables in Institutions of Higher Normal Learning

阐述了在高师院校实变函数教学中引入现代数学思想的必要性，指出目前在实变函数教学中较系统和全面地介绍分形的数学思想和应用是一个非常好的课题。并分析了具体的理由和可供操作的可能途径。

In this paper,we elaborate that it is necessary to lead modern Mathematical ideas into teaching of functions of real variables in institutions of higher normal learning.We point out that now it's a very good topic to comprehensively introduce Fractal mathematical ideas and its use into teaching of functions of real variables.Meanwhile,we give the concrete reasons and possible ways which can be adopted.