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研究任何一门学科,首先都要建立一些概念,然后围绕着它们建立起一系列命题.所以在数学教学过程中,教师要高度重视概念的教学,讲清概念,使学生能正确理解和运用概念.我认为数学概念的教学应达到下列三个基本要求:第一,说得出数学概念的基本属性,并能正确复述概念的定义(包括不定义的),这是掌握概念的最起码的要求,但要防止死记硬背.第二,有些概念可用式子表达或画出图形的,要会表示.如有关指数的一些概念可表示成:
To study any discipline, we must first establish some concepts, and then build a series of propositions around them. Therefore, in the process of mathematics teaching, teachers should attach great importance to the teaching of concepts, clarify concepts, and enable students to correctly understand and use concepts. I think that the teaching of mathematics concepts should meet the following three basic requirements: first, to draw the basic attributes of mathematical concepts, and to be able to correctly re-define the definitions of concepts (including undefined). This is the minimum requirement for mastering concepts. , but to prevent rote memorization. Second, some concepts can be represented by expressions or drawings. They should be expressed. For example, some concepts related to the index can be expressed as: