高等数学中极限概念教学的思考

The Thinking about the Teaching of the Limit Concept in the Advanced Mathematics

学生学习极限概念困难的表现主要为:对极限概念存在理解上的问题,在极限概念使用中出现种种不足甚至错误;产生学习困难的原因主要有:极限概念本身的问题和学生的思维特点问题;极限概念教学的主要对策有:在极限教学中融入极限发展的历史,作好铺垫导入;加强语言逻辑结构层次的分析与引导;根据类比迁移原理,适当调整教材中有关极限内容的结构顺序·

The main difficult in studing limit concept exits in the understanding of limit concept, the second is a variety of deficiency and wrong existing in the usage of limit concept. The main reasons for causing the difficulty of study are limit concept self problem and students＇ thought characteristic problem. There are many countermeasures in the limit concept teaching. For instance, leading - in teaching in the limit to be hit by history, good bedding of work melting to enter a limit development, reinforcing language logic structure arrangement of ideas analysis and guidance, according to remove principle, adjusting the structure order about limit content in teaching material.