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数学课堂中,对有关知识和能力作适当的拓展和引申是数学教师应该思考的基本问题,处理得好对学生的持续发展能够起到不可小视的作用.对一些知识加以适当的拓展与引申,不仅能使学生巩固基础知识,提高分析问题和解决问题的能力,而且对于沟通知识的联系、开拓思路、培养创新思维和对数学探究的兴趣都十分有益.那么如何拓展和引申?拓展和引申到什么程度?对这些问题的把握至关重要.以个人之见,我对这样的问题提出如下几个原则,供同行们讨论.
Mathematic classroom, the appropriate expansion and extension of the knowledge and ability is the basic problem that mathematics teachers should think about, well handled can play a significant role in the sustainable development of students.Optimized and extended some knowledge, Not only enable students to consolidate the basic knowledge, improve the ability to analyze and solve problems, but also for the communication of knowledge, to develop ideas, develop innovative thinking and interest in mathematical exploration are very useful. So how to expand and extend? To what extent? To grasp these issues is crucial. In personal opinion, I put forward the following principles on such issues for colleagues to discuss.