注重反思,强化应用——从课本习题到中考命题

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荷兰数学教育家弗赖登塔尔指出:“反思是数学活动中的一个重要环节,它是数学活动的核心和动力。”不断反思问题的数学解题思维过程,能够深化对问题的理解,拓展解题思维途径,揭示问题的本质和规律,促进知识的同化、迁移和应用,沟通知识之间的纵横联系。本文以【义务教育课程标准实验教科书八年级《数学》上册(江苏科技出版社)】,在“轴对称图形”部分第45页有如下的一道习题为例诠释如下。 The Dutch math educator Freidenthal pointed out: “Rethinking is an important part of mathematics activities. It is the core and driving force of mathematics activities. ” The problem-solving mathematics problem-solving thinking process can deepen the understanding of problems. To expand the problem-solving way of thinking, reveal the nature and laws of the problem, promote the assimilation, transfer and application of knowledge, and communicate the vertical and horizontal relationship between knowledge. This article uses the following mathematics exercises as an example in the “Axis Symmetrical Graphics” section of the “Mathematics” book (Jiangsu Science and Technology Press) of the eighth grade “Compulsory Education Curriculum Standard Experimental Textbook”.
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