中国和澳大利亚高中数学微积分教材比较研究

Comparative Study of Calculus Mathematical Textbooks for Senior High School between China and Australia

选取中国人民教育出版社出版的高中新课标(A版)《选修2-2》数学教材与澳大利亚IBID出版社出版的IBDP高水平数学教材中的微积分部分进行比较研究.比较两种教材的内容编排,分析两种教材不同的特色,从课程广度、课程深度和课程时间对两种版本教材的微积分内容进行量化分析比较.利用课程难度系数模型,得出两种版本教材中微积分的课程难度差异.为中国数学课程改革和教科书的建设提供借鉴.

We compare the content of calculus between the new standard math textbook(A version) of PeoPle’s Education Press Optional 2-2 and the textbook in Australia’s IBID Press for IBDP high—level math course. We present the content system and analyze the different characteristic of the two math textbooks. From curriculum breadth, curriculum depth and course time, using the curriculum difficulty model to do the quantitative analysis the course difficulty. We obtain the actual curriculum difficulty level of two math textbooks. Which can be provided a good reference for China’s new reform of mathematics.