比较教学法在《实变函数》教学中的应用——与《数学分析》的比较教学浅析

The Application of Comparison Method on "Real Analysis" Teaching——Analysis on Teaching of Comparison with "Mathematical Analysis"

本文根据《实变函数》的课程特点,提出利用比较教学法进行教学的思想,并且从不同的角度去比较,深入浅出、由浅入深,让学生在数学分析的基础上潜移默化地领会实变函数知识的精髓,达到由简驭繁的效果。

In this paper,the author put for word an idea of using comparison teaching method based on the course characteristic of "Real Analysis".Then compared from several different point of views in layman's language and from the shallower to the deeper,which can help students comprehend the essence of Real Analysis unconsciously based on Mathematical Analysis,and finally reach the effect of handling complexity by simplicity.