论数学表征系统

System of Representation in Mathematics

数学表征概念包括数学学习心理学、儿童数学的成长和发展、数学课堂教学以及数学教育所处的急剧变化的技术环境等。外部表征系统包括常用数学符号体系、结构化学习环境。内部表征系统包括学生个体符号化建构，数学符号意义匹配，学生的自然语言、视觉表象和空间表征等。数学教学的基本目标是使每个学生都能形成灵活的内部表征系统。

This paper attempted to expound the mathematics representational systems covering the external systems of representation, the internal and psychological representation from which the mathematics educators would get a good understanding of the aforesaid systems. We should see the development of a strong, flexible internal system of representation in each student as the essential goal.