渗透数学思想,感受数学文化——从“数系的扩充”一课谈起

Mathematic Ideology,Culture and Expansion of Numeral System

本文通过对"数系的扩充"这节概念课的设计与反思,提出数学概念教学不仅要包含最基本的知识性内容,还应包含以内容为载体的数学思想方法与数学文化。数系的扩充是高中数学教材中典型的富有浓厚数学思想与文化的内容,复数概念的发展具有丰富的历史背景,而概念本身的产生又涉及到数学中化归类比、抽象概括、符号化等重要的数学思想。因此,本节课的教学定位是注重数学思想与文化的传播,激发学生自主探究的热情和勇于质疑的精神。

This essay points out that mathematic concept teaching should include not only the basic knowledge,but also mathematic ideology and culture by designing and reflecting on the concept of numeral system,which is the typical content full of mathematic ideology and culture in senior high school.Emphasis on diffusion of mathematic ideology and culture is conducive to activating students＇ enthusiasm about autonomous exploration and questioning spirit.