高中数学教材核心数学内容的国际比较  

An International Comparison of Core Content in High School Mathematics Textbooks

作　　者：王建磐[1] 章建跃[2] 

机构地区：[1]华东师范大学数学系,上海200241 [2]人民教育出版社中学数学室,北京100081

出　　处：《课程．教材．教法》2014年第10期112-119,共8页Curriculum，Teaching Material and Method

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;主持人:王建磐)的部分研究成果

摘　　要：课程设计与教材编写是影响学生"学习机会"的重要因素。以美国、英国、德国、法国、俄罗斯和日本六国的代表性教材为比较对象,考察高中数学核心内容的定位、选择与编排,发现各国高中数学核心内容仍以传统基础数学内容为主,但都注意用现代数学思想方法来处理。代数以函数为核心是主流;几何,各国差异较大,重视用代数的方法处理几何问题是一个趋势;统计与概率得到各国重视,但各国的内容选择存在较大差异;微积分内容都属于一元微积分,以导数、积分及其应用为主,部分国家的教材介绍了微分方程概念。Curriculum design and textbook compilation are important factors that influence students＇ ＂learning opportunities.＂ Focusing on the identification, selection, and arrangement of high school math core contents in selected representative textbooks from the United States, United Kingdom, Germany, France, Russia, and Japan, the investigation found that the classical math topics in tradition were still the core contents in all these systems, which were dealt with mostly via contemporary thinking and methods. It is popular that algebra takes functions as its core. The treatment of geometry is greatly diversified among the systems, while there is a tendency to emphasize on using algebraic methods to deal with geometry problems. Statistics and probability receive high attention in all the systems, but there are great differences in their selections of topics. Many systems include introductory contents in one-variable calculus, mainly covering topics such as derivation, integration and their application. Some systems also introduce the notion of differential equation.

关 键 词：高中数学 核心内容 国际比较 

分 类 号：G633.6[文化科学—教育学]