试论数列极限中蕴涵的若干辩证思想

On the Dialectical Thoughts in the Sequence Limit

在《高等数学》教学中,教师不仅要向学生传授最有价值的知识而且要重视培养学生的数学思维能力和数学素养。数列极限概念包含了事物无限运动变化过程和无限逼近思想,体现了有限与无限、过程与结果、运动与静止等辩证关系,有着丰富、典型、深刻的辩证思想。

In the teaching of ＂Higher Mathematics＂, the teachers not only pass on the valuable knowledge to the students, but also attach importance to cultivating the students＇ thinking ability of mathematics and qualities of mathematics. The concept of sequence limit contains the process of something moves limitlessly and the infinite thought, which has embodied the dialectical relationship of definite and indefinite, process and result, and motion and rest, and has the rich, typical and profound dialectical thought.