关于数学文化研究的几点思考——兼评《高中数学课程标准》中数学文化内容的设置

Consideration on the Research of Mathematics Culture——Evaluation on the Setting of Mathematics Culture’s Content in Advanced Mathematics Course

数学文化研究的基本内容大体可划分为3类:数学家群体乃至整个民族的数学文化心理的变迁;数学知识、方法及理论体系形成与发展的文化分析;数学作为文化传播(数学教育形式)演变的文化学层面上的分析.数学文化研究的基本方法有历史溯源法和跨文化比较法.

Learned research of mathematics culture had its specific research content and research method. The research on mathematics culture had just begun in China, it neglected the historic source of the research on mathematics culture and the classical method of cross-culture comparison. The present common existing phenomenon was that the research on mathematics culture took some content of mathematics philosophy, the history of mathematics and the thinking history of mathematics as the research conclusion of mathematics culture.