对中学生数学认知结构建构途径的研究

Approaches to Constructing Middle School Students' Cognitive Structure of Mathematics

学生数学认知结构的建构实质是指对数学概念、定理、公式和命题的理解,以及蕴涵其中的思想、方法的掌握和运用。学生数学学习的过程,实际上就是学生自身数学认知结构的不断搭建和完善的过程,是学生数学思维能力不断拓展和发展的过程。本文试就学生数学认知结构的建构过程中的一些途径和操作方法作一些探讨和总结。

The essence of constructing the students＇mathematical cognition is to point to the comprehension of concepts, theorems, formulas and propositions for their understanding and implication of which ideas and methods controlled and used in mathematics. As for students, the process of learning mathematics is actually a process of constructing and completing the structure of math knowledge, and also a process of expanding and developing the ability of math thinking. This paper discusses the approaches and operations to constructing the students ＇ cognitive structure of mathematics.