寓“理解”于数学概念

Research on Understanding of Mathematics Concept

数学概念理解是对数学概念内涵和外延的全面性把握,其特点主要有以下几方面:数学概念内涵理解的多样性,数学概念外延理解的丰富性,数学概念表述理解的抽象性,数学概念符号理解的系统性,数学概念应用理解的多变性,数学概念定义理解的逻辑性.根据不同特点的数学概念所对应的理解过程和方式可将数学概念分为叙实式数学概念、推理式数学概念、变化式数学概念和借鉴式数学概念4种类型.

In order to solve the problem that the students could only understand the epidermis of mathematics concept, this paper incorporated understanding course to the teaching course of the mathematics concept, according to educational theory of constructivism. It classified the analysis of the mode of understanding, regarding the characteristic of understanding of the mathematics concept as the foothold and according to the characteristic of concrete mathematics with different concept. The main mathematics concept was divided into four kinds. It was studied in full detail that the characteristics and understanding courses of these kinds of mathematics concepts. The purpose was that the teachers could help students to understand the mathematics concept better by them.