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课本是学生知识资源的依据,课本中的例题、习题是学生务必要掌握的。因考虑到教学的阶段性要求,课本中的例题一般或体现某个定理(公式)的应用,或体现某种解题(思想)方法,具有基础性和示范性,有利于学生模仿、操练.笔者以为,适时、适度地对课本例题(习题)进行拓展,值得提倡,通过拓展,建立联系,整合知识,提炼思想方法,有利于学生开阔视野,学会借鉴,学会欣赏,激活其思维发散。本文就人教社《全日制普通高级中学教科书·数学》第二册
Textbooks are the basis of students’ knowledge resources. Sample examples and exercises in textbooks are essential for students to master. Considering the periodical requirements of teaching, examples in textbooks generally either reflect the application of a certain theorem (formula) or embody a certain problem-solving (ideological) method. They are basic and exemplary, and are conducive to students imitating and practicing. The author believes that timely and appropriate expansion of textbook examples (exercise questions) is worth advocating. By expanding, establishing connections, integrating knowledge, and refining ideas and methods, students can broaden their horizons, learn to learn from them, learn to appreciate, and activate their thinking and divergence. This article is based on the second volume of the “General High School Textbooks and Mathematics for General Secondary Schools” published by the People’s Education Agency.