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函数和极限概念,在中学数学課程中就已接触到了。在大学里凡学习高等数学的人都要更深入的再学习它們。其所以如此,是因为函数概念是数学分析的基础概念,是数学分析的研究对象;极限法是数学分析的基础方法。如对它們領会的不够透彻势必影响到对其他一些基本概念如連續、微分、积分等的学习。同时也会妨碍对其他一些基本方法如微分法、积分法等的掌握和运用。然而我在学习这两概念吋会感到抽象不易抓着它們的本貭。当时把主要原因归之于概念抽象和自己天資愚笨。但毕业后,在教学工作中常常遇到一些确系聪明又肯用功的学生亦有同感,这就促使我考究倒底这两概念难在何处,能否通过教学縮減同学
The concept of function and limit has been touched in the middle school mathematics course. In college, anyone who studies advanced mathematics should learn more about them. This is because the concept of functions is the basic concept of mathematical analysis and the object of mathematical analysis. The limit method is the basic method of mathematical analysis. If they are not thoroughly understood, they will inevitably affect the learning of other basic concepts such as continuous, differential and integral. At the same time, it will hinder the mastery and use of other basic methods such as differentiation and integration. However, when I study these two concepts, I will feel that abstraction is not easy to grasp their essence. At that time, the main reason was attributed to the concept of abstraction and their own aptitude. However, after graduating, I often encountered some students who were really smart and willing to work hard in the teaching work. This prompted me to find out where the two concepts were difficult and whether they could reduce my classmates through teaching.