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中美高中数学教材比较研究——以“几何概型”为例 被引量:34

Comparative Study of Mathematical Textbooks for Senior High School between China and America——Took Geometric Probability As an Example
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摘要 中美两国几何概型相关知识学习的水平、顺序有较大差异;两国教材都采用了螺旋上升的编排方式,但美教材的螺旋次数明显高于人教版教材;我国教材在思维水平、呈现方式、知识背景之间均不呈显著相关,美教材在呈现方式与知识背景之间存在显著相关关系;两国教材关于几何概型知识的导入、概念提出、知识应用上存在着明显差异,在思维水平上无明显不同;美教材较注重知识的导入与应用,人教版教材则更注重知识的体验与表征. Basing on the overall comparison between two countries,we construct the macroscopic and microcosmic comparison models.Combining the research method of qualitative with quantity,we compare the content of Geometric Probability between Prentice hall textbook in America and Pep textbook in China.And find that:There are some differences on the levels and orders of geometric models of probability knowledge between two countries;Both of the two countries adopting spiral way arrange their textbooks,but American textbook has more spiral times than Pep textbook;There is no significant correlation between thinking levels,presented ways and knowledge backgrounds in Pep textbook,but in Prentice hall textbook,there is significant correlation between presented ways and knowledge backgrounds;There are obvious differences in introduction,presenting conception and application of knowledge between two countries,but there is no difference in thinking levels between two countries;American textbook pays more attention to the introduction and application of knowledge,and Pep textbook pays more attention to the experience and representation of knowledge.And finally,we obtain some revelations on the textbook writing and design.
出处 《数学教育学报》 北大核心 2012年第2期49-52,共4页 Journal of Mathematics Education
基金 国家社会科学基金“十一五”规划2010年度教育部重点课题——主要国家高中数学教材比较(ADA100009)
关键词 中国 美国 教材 比较研究 几何概型 China America textbooks comparative studies geometric probability
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