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中美微积分教材比较研究
引用本文:吴志坚,肖滢,吴兴玲.中美微积分教材比较研究[J].数学学习,2010,13(3):43-47.
作者姓名:吴志坚  肖滢  吴兴玲
作者单位:吴志坚,WU Zhi Jian(阿拉巴马大学数学系,Tuscaloosa,阿拉巴马,美国,35487);肖滢,XIAO Ying(中国政法大学科学技术教学部,北京,102249);吴兴玲,WU Xing Ling(贵州民族学院理学院,贵阳,550025) 
基金项目:贵州省"候鸟型"人才引进计划项目 
摘    要:微积分课程的教学对高校创新型人才的培养具有重要的作用,其教材建设受到普遍关注.本文以微积分教学方法和教学理念为主线,从教材内容和案例选取、教材结构顺序以及教材表述方式等不同的角度,分析了国内外部分优秀微积分教材所具备的特色.依此为基础,以中美两部具有代表性的微积分教材为比较对象,着重对两本教材在知识点衔接、新知识的引入方式以及提出问题、分析问题的构思方法和阐述方式等具体方面进行了较细致的对比,力图从中展示出中美高等教育在教学思想和表现形式上的某些不同之处,由此得到一些有益的启示.最后,文章列举了美国微积分教材,在语言表达风格、教学案例和习题设计以及教材配套服务等诸多方面值得借鉴的经验和方法.

关 键 词:微积分  教材  教学方法  教学理念

Comparison of Calculus Textbooks between PRC and USA
WU Zhi Jian,XIAO Ying,WU Xing Ling.Comparison of Calculus Textbooks between PRC and USA[J].Studies In College Mathematics,2010,13(3):43-47.
Authors:WU Zhi Jian  XIAO Ying  WU Xing Ling
Institution:1. Department of Mathematics, The University of Alabama, Tuscaloosa, Alabama, 35487, USA; 2. Department of Science and Technology, China University of Political Science and Law, Beijing, 102249. PRC; 3. College of Sciences, Guizhou University of Nationalities, Guiyang, Guizhou, 550025, PRC)
Abstract:Calculus curriculum plays an important role in cultivating the creativity of college students. Calculus reform has been drawing more and more attention in recent years. Focusing on teaching methods and philosophies, and in particular by comparing two textbooks, this note intends to highlight the differences and characteristics of popular Calculus teaching models from PRC and USA on how new knowledge and concepts are approached, packaged and connected, and what examples, models and ideas are demonstrated. We present also other valuable advantages of the USA Calculus textbooks such as presenting styles, structures of examples and practices, graphics, and online services.
Keywords:Calculus  textbook  teaching methods  teaching philosophies  
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