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大一学生对微积分基本概念的理解 被引量:5

First-year Students’ Understanding about Limits,Continuity and Derivatives
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摘要 数学专业、信息与电子工程专业和教育专业的大一学生,都有相当一部分学生对极限、连续和导数的理解彼此孤立,对它们两两之间的联系不甚了解,有相当多的学生对极限、连续和导数概念相互关系的理解显示出明显的历史相似性. Freshmen of Mathematics specialty, the information and the electronic engineering specialty and the education specialty, have quite part of students understanding in isolation the limit, continuous and derivative, and have no more than a nod acquaintance with them, and show clear the comparability of history about their relation.
作者 朱卫平
出处 《数学教育学报》 北大核心 2010年第4期37-40,共4页 Journal of Mathematics Education
关键词 定义 极限 连续 导数 definition limit continuity derivative
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参考文献5

  • 1Bezuidenhout J. Limits and Continuity: Some Conceptions of First-year Students. International Journal of Mathematical Education in Science and Technology, 2001, 32(4): 487-500.
  • 2张在明.关于数学分析中几个重要概念之间的关系[J].玉溪师范学院学报,1997,13(6):1-3. 被引量:1
  • 3Furinghetti F, Paola D. The Construction of a Didactic Itinerary of Calculus Starting from Students' Concept Images [J]. International Journal of Mathematical Education in Science and Technology, 1991, 22(5): 719-729.
  • 4Juter, K. Limits of Functions as They Developed through Time and as Students Learn Them Today. Mathematical Thinking and Learning, 2006, 8(4): 407-431.
  • 5波耶CB.微积分概念史[M].上海:上海人民出版社,1977.

二级参考文献1

  • 1刘玉琏,傅沛仁.数学分析讲义[M]高等教育出版社,1992.

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