“做数学”之我见

How To Do Mathematics

“做数学”既包括动手操作和动手实践,也包括动脑思考和动脑“运算”,“数学实验”既包括外部的 操作性实验(实体实验),也包括内部的思维性实验(思想实验),在数学教学中,我们不仅要做数学,更要开展 数学想象,需要注重“做”的数学意义,进行数学抽象,

Doing Mathematics includes two aspects ：one is at the level of physical process ,the other is at the level of thinking in the head. Mathematical experiment covers both exterior physical experiment and interior mental experiment. Such a theory in mathematical teaching and studying requres teachers and students to pay more attention to think in mathematics than to do mathematical exercises. Mathematical thinking is more important than working out mathematical questions. Therefore ,doing mathematics involves mathematical imagination, the mathematical meaning of process and abstract aspect of mathematics in all.