高中概率统计内容设置的国际比较——基于15个国家数学课程标准的研究

International Comparative Research On the Contents of Probability and Statistics in High School Mathematics Curriculum Standards

对中美英等15个国家的20个高中数学课程标准中的概率统计内容，进行定量分析和定性分析．包括各课标中知识点的广度、深度、核心模块知识分布，以及课标中关于概率统计内容与排列组合知识的关系，文理科学生所学内容的差异等．荷兰、法国理科内容最广，中国理科第三，文科第八．日本、荷兰难度最大，中国文理科分列倒数第三、第四．总体上讲，中国概率统计内容“广而不深”．

This paper examines 15 countries （Chinese, America, England and so on） in content of probability and statistics in 20 curriculum standards. Quantitative and qualitative analysis have been both made more in details. Quantitative analysis includes the breadth, depth, and the knowledge distribution of core modules. Qualitative analysis includes the chronological order of probability and statistics in these curriculum standards, the relationship with permutation and combination, and the content differences between liberal arts and science students. The results shows that Netherlandish and French science curriculum standards are most widely distributed, while Chinese science one in third and liberal arts one in eighth. Japanese and Netherlandish curriculum standards are most difficult, Chinese liberal arts one in third and science one in fourth. In a word, our probability and statistics contents in curriculum standard are ＂widespread but not deep＂.