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儿童开始认识几何图形的研究——与皮亚杰“从拓扑到欧氏几何”论点的商榷 被引量:5

A RESEARCH ON CHILDREN'S UNDERSTANDING OF GEOMETRIC FIGURES—A DISCUSSION ON PIAGET'S COGNITIVE THEORY OF“FROM TOPOLOGY TO EUCLIDEAN GEOMETRY”
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摘要 本研究乃是对皮亚杰关于儿童开始认识几何图形是“从拓扑到欧氏几何”论点的反证。其根据有二:1.儿童认识各种拓扑和欧氏几何图形有难易先后,而非如皮亚杰所说的“儿童认识拓扑关系远早于欧氏几何图形”。2.实验证明,幼儿开始对圆、正方形和三角形都画成不规则的圆形,这是由于其绘画技能不够完善。不能以此作为“儿童认识几何图形是从拓扑开始”的论据。 Our findings disprove of Piaget's argu-ment that children's understanding of ge-ometric figures is“from topology to Euclideangeometry”.There are two reasons:1)ourstudy reveals that children' understandingof topology and Euclidean geometry dependson their level of difficulty.Piaget's state-ment that children recognize topologic rela-tions far earlier than Euclidean geometricfigures is unsound;2)infants tend to drawall their circles,squares and triangles in theshape of irregular circles,because theirfinger muscles and drawing skill are not yetwell-developed.Therefore,what the infantsdraw can not be used to support Piaget'sargument that children's understanding ofgeometric figures begins with topology.
出处 《心理科学》 CSSCI CSCD 北大核心 1991年第3期6-11,63,共7页 Journal of Psychological Science
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