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一、追根溯源,让学生充分感知知识发生、发展的过程。 知识的发生过程、公式、定理等的探索、发展过程,都蕴含着丰富的数学思想、数学方法、数学观点。充分揭示知识的发生过程,不仅是知识形成的必要前提和准备,更重要的是能提高学生的学习兴趣,能培养学生的创造性思雏,从而提高学生的数学素质。 现行教科书呈现在学生面前的是概念——公式——范例组成的纯数学系统,学生看不到概念的形成过程、解题的探索过程,只看到完美的结论。至于它们
First, tracing the source, so that students fully aware of knowledge, the process of development. The process of knowledge, formula, theorem and other exploration, development process, contains a wealth of mathematical thinking, mathematical methods, mathematical point of view. To fully reveal the process of knowledge is not only the necessary precondition and preparation for knowledge formation, but more important is to improve the students' interest in learning, to develop students' creative thinking, and to improve the students' mathematical quality. The current textbook is presented to students in a purely mathematical system of concept-formula-examples. Students can not see the formation of concepts, the exploration process of solving problems, and only see the perfect conclusion. As for them