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数学直觉的性质与数学直觉能力的培养
引用本文:郑毓信,张心珉.数学直觉的性质与数学直觉能力的培养[J].松辽学刊,1991(3).
作者姓名:郑毓信  张心珉
作者单位:南京大学哲学系 (郑毓信),南京十二中(张心珉)
摘    要:本文首先对数学直觉的性质进行了分析,指明了我们既应注意数学直觉与一般所谓的感性直观的区别,又应特别注意数学直觉的非逻辑性——对此可以从直接性、整体性、自信心、不连惯性、自发性、猜测性等角度作出具体的说明.其次,作者认为,数学直觉能力是可以培养的;作者集中地对如何通过数学学习培养数学直觉能力的问题进行了分析,并提出了一些具体的建议.

关 键 词:数学直觉

THE QUALITIES OF MATHEMATICAL INTUITION AND HOW TO TRAIN THE ABILITY OF MATHEMATICAL INTUITION
Zheng Yuxin Zhang Xinmin.THE QUALITIES OF MATHEMATICAL INTUITION AND HOW TO TRAIN THE ABILITY OF MATHEMATICAL INTUITION[J].Songliao Journal (Natural Science Edition),1991(3).
Authors:Zheng Yuxin Zhang Xinmin
Institution:Zheng Yuxin Zhang Xinmin (Nanjing University) (Nanjing City the Twelfth Middle School)
Abstract:In this article, we have analysed the qualities of mathematical intution and explained both that we should attend which the mathematical intuition is different from general so-call perceptual audio-visual and that we should especially attend the nonlogicality of mathematical intuition. So we have made the detail explanation in the aspects of the immediacy, the entirety, the self-confident, the incoherency, the spontaneousness and the guess we consider that the ability of methematical intuition may be trained. And we discuss how to train the ability of mathematical intuition through the mathematics' study and give some concrete suggestions.
Keywords:Mathematical intuition  
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