| 文科学生学习微积分前对无限的认识层次分析 |
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| 引用本文： | 张伟平.文科学生学习微积分前对无限的认识层次分析[J].数学教育学报,2006,15(3):54-59. |
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| 作者姓名： | 张伟平 |
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| 作者单位： | 华东师范大学,数学系,上海,200062;江汉大学,数学与计算机科学学院,湖北,武汉,4300000 |
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| 摘 要： | 大学文科学生学习微积分前对无限的认识状况将对其今后学习微积分产生直接影响.根据APOS理论,结合个人认识无限的具体外部表现,可将学生对无限的认识分为4个层次,分别是:感觉层次;分析层次;演绎层次;严密系统层次.中学阶段的无限认识水平影响极限的学习,用无限的一般方法论武装学生可以让学生“登高望远”而“心知肚明”.
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| 关 键 词： | 无限 APOS理论 认知层次 |
| 文章编号： | 1004-9894(2006)03-0054-06 |
| 收稿时间： | 2006-04-08 |
| 修稿时间： | 2006年4月8日 |
Analysis of Cognitive Level for Infinity in Previous Learning Calculus of Liberal Arts Students |
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| ZHANG Wei-ping.Analysis of Cognitive Level for Infinity in Previous Learning Calculus of Liberal Arts Students[J].Journal of Mathematics Education,2006,15(3):54-59. |
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| Authors: | ZHANG Wei-ping |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| Abstract: | The essay analyzed the cognitive level for infinity on the point of primary mathematics.On the basis of the APOS theory,the cognition of infinity was divided into four levels by investigating the fresh men of liberal arts in the university,having analyzed the whole cognitive level.Finally,the suggestion given on the teaching of liberal arts calculus in university aids to explore the origin of having difficulty comparatively in the perception of the concept of limit on the point of infinity,offering reference for the better connection between the course of high school and that of university. |
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| Keywords: | infinity APOS theory cognitive level |
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