文化视角下“中新美法”四国高中数学教材中“简单几何体”的研究  

“Simple Solid Figures” of High School Mathematics Textbooks in China, Singapore, America and France from the Culture Perspective

作　　者：沈春辉[1,3] 柳笛[2] 汪晓勤[3] 

机构地区：[1]上海市向明中学,上海200020 [2]华东师范大学特殊教育学系,上海200062 [3]华东师范大学数学系,上海200241

出　　处：《数学教育学报》2013年第4期30-33,102,共5页Journal of Mathematics Education

基　　金：国家社会科学基金“十一五”规划2010年度教育学重点课题——主要国家高中数学教材比较研究(ADA100009)子课题——教材中的数学史与数学文化

摘　　要：数学教材中的数学文化内容可分成数学史、数学与生活、数学与科技、数学与人文艺术4类．其中运用数学史的方式分为点缀式、附加式、复制式、顺应式和重构式；其它数学文化的运用水平分为外在型和内在型．运用上述分类法，对中国、新加坡、美国、法国数学教材中的“简单几何体”进行比较．发现各国教材在数学史的内容和运用水平上大体相近，而数学文化的其它方面则存在差异．中国和美国教材更注重数学与生活中的数学文化内容，新加坡和中国教材在数学与科技方面的内容较为薄弱，法国教材对数学与人文艺术l方面的关注更加全面和多元．In this paper, the mathematical culture in mathematics textbooks is classified into history of mathematics, mathematics in life, mathematics in science and technology, mathematics in arts and humanities. The ways of using history of mathematics in textbooks include decoration, complementation, duplication, accommodation and reconstruction. The methods of using other aspects of mathematical culture in textbooks are external and internal. ＂Simple solid figures＂~ of high school mathematics textbooks of China, Singapore, America and France are compared by above methods. It is found that contents and methods of using history of mathematics are similar among them, but other aspects of mathematics culture are different. Chinese textbooks and American textbooks pay more attention to mathematics in life. Singaporean textbooks and Chinese textbooks are short of mathematics in science and technology. More Imnortance is attached to mathematics in arts and humanities in French textbooks.

关 键 词：数学教材 数学文化 数学史 简单几何体 

分 类 号：G40-059.3[文化科学—教育学原理]