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一、数学概念的有关概述数学概念是人对客观事物中有关数量关系和空间形式方面本质属性的抽象。概念反映的所有对象的共同本质属性的总和叫做这个概念的内涵。适合于概念所指的对象的全体叫做这个概念的外延。概念的内涵和外延是相互制约的,它们是构成概念的统一而不可分割的两个方面。在数学教材中的概念,根据学生的接受能力,表现形式各不相同,其中描述式和定义式是最主要的两种表示方式。定义式是用简明而完整的语言揭示概念
I. General Description of Mathematical Concepts Mathematical concepts are abstractions of the essential properties of the objective things in terms of quantity relations and spatial forms. The sum of the common essential attributes of all objects reflected by concepts is called the connotation of this concept. The whole of the object that is appropriate to the concept is called the extension of this concept. The connotation and denotation of concepts are mutually restrained, and they are two aspects which form a unified and indivisible concept. The concept of mathematics textbooks, according to the acceptability of students, manifestations vary, of which the descriptive and the definition of the two types of representation is the most important. Definition is to use simple and complete language to reveal the concept