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分数的数量表征
引用本文:孙玉,司继伟,黄碧娟. 分数的数量表征[J]. 心理科学进展, 2016, 24(8): 1207-1216. DOI: 10.3724/SP.J.1042.2016.01207
作者姓名:孙玉  司继伟  黄碧娟
作者单位:(山东师范大学心理学院, 济南 250358)
基金项目:国家自然科学基金,山东省强化建设重点学科“发展与教育心理学”(2010-2015)专项经费资助
摘    要:分数数量表征已成为当前数学认知研究的重要主题之一。基于该领域近10年来的研究发现, 总结了分数数量表征研究的新进展。首先概述分数数量表征的发展, 然后着重介绍分数数量的不同表征方式并系统分析制约数量表征的任务及背景因素。此外, 还深入探究了分数数量表征与整数、小数数量表征的区别与联系。未来研究者应注意在分数数量表征的个体差异、跨文化以及干预等方面加强考察。

关 键 词:分数   数量表征   成分表征   整体表征  
收稿时间:2015-07-29

Magnitude representation of fraction
SUN Yu,SI Jiwei,HUANG Bijuan. Magnitude representation of fraction[J]. Advances In Psychological Science, 2016, 24(8): 1207-1216. DOI: 10.3724/SP.J.1042.2016.01207
Authors:SUN Yu  SI Jiwei  HUANG Bijuan
Affiliation:(School of Psychology, Shandong Normal University, Jinan 250358, China)
Abstract:Magnitude representation of fraction has become one of key issues in contemporary mathematical cognition field.Based on the latest ten-year studies,some new developments of investigations in fraction magnitude representation were reviewed.First,it was summarized how magnitude representation of fraction developed.Then the different fraction magnitude representations were introduced,and some tasks and background factors that affected magnitude representation of fraction were systematically analyzed.In addition,the relationships and differences between magnitude representation of fraction and whole number or decimal fraction were also explored.Future researchers should pay more attentions to individual differences in fraction representation,and cross-cultural investigations and other intervention aspects to strengthen the understandings on fraction representation.
Keywords:fraction  magnitude representation  componential representation  holistic representation
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