中日高中数学教材“统计与概率”内容比较研究———以人教A版和数研版教材为例

A Comparative Study on the Contents of“Statistics and Probability”in High School Mathematics Textbooks in China and Japan:A Case Study of textbooks by PEP(A) and Japanese Mathematics Research Publishing House

摘要: 以人民教育出版社的 A版教材和日本的数研出版株式会社高中数学教材“统计与概率”内容为研究对象,从知识点数量、广度、深度等方面进行比较.研究发现: ( 1) 在知识点数量上,中国教材多于日本教材; (2) 从教材内容来看,两种教材都是概率的内容多于统计; ( 3) 在教材对知识点的处理上,中国教材更追求定义的严格性;日本教材则比较注重数学学科内部知识的联系,强调数学是一个整体.

Abstract: The contents of“Statistics and Probability” of high school mathematics textbooks, published by the People’s
Education Press, and the textbook of“Japan’s Shuyan edition” are chosen as the research subjects and a comparative study was conducted to compare the number, breadth and processing of knowledge points. It is found: (1)In the number of knowledge points, Chinese textbooks surpass the Japanese ones. (2)From the textbook content, the two textbooks focus more on proba- bility than on statistics. (3) in the handling of knowledge points, the Chinese textbooks pursue more of the rigidity of the defi- nition, while the Japanese textbooks put more emphasis on the internal links of the mathematics knowledge, highlighting the integrated whole of mathematics.