儿童数量表征与数概念的发展特点及机制

doi:10.16187/j.cnki.issn1001-4918.2015.01.04

摘要/Abstract

摘要： 对儿童数量表征和数概念的研究是当前数认知领域的两个重点研究方向。我们在这一领域通过理论及实证研究进行了广泛且深入的探索,系统分析了大小数量、符号与非符号数量表征的机制,深入考察了数量表征线索的发展、线性数量表征的发展特点及形成机制等问题;并对数概念的发展及其影响机制、数量表征与数概念的关系进行了理论梳理和实证研究。这些探索为进一步探明数量表征与数概念的发展特点及机制提供了基础。

关键词: 数量表征, 数概念, 发展特点, 儿童

Abstract: The magnitude representation and number concept in children are two important parts in the field of numerical cognitive development. We have extensively and intensively explored these issues in theoretical and empirical study. We investigated and compared the mechanisms of the magnitude representation between large and small range, symbol and non-symbol magnitude. Our studies supplied theoretical and empirical evidence on the development trend of the clue of magnitude representation, linear magnitude representation and its mechanism, as well as the developmental characteristics and mechanisms of the number concept and the relationship between magnitude representation and number concept. The results lay the foundation for later studies on the development characteristics and mechanisms of the magnitude representation and number concept.

Key words: magnitude representation, number concept, developmental characteristics, children

中图分类号:

B844

陈英和. 儿童数量表征与数概念的发展特点及机制[J]. 心理发展与教育, 2015, 31(1): 21-28.

CHEN Yinghe. The Developmental Characteristics and Psychological Mechanisms of the Magnitude Representation and Number Concept in Children[J]. Psychological Development and Education, 2015, 31(1): 21-28.

参考文献

Booth, J. L., & Siegler, R. S. (2008). Numerical magnitude representations influence arithmetic learning. Child Development, 79, 1016-1031.
Brysbaert, M. (2004). Number recognition in different formats. In J. I. D Campbell, (Ed.), Handbook of Mathematical Cognition (pp. 23-42). Psychology Press: New York.
Brannon, E. M., Abbott, S., & Lutz, D. (2004). Number bias for the discrimination of large visual sets in infancy. Cognition, 93, B59-B68.
Cordes, S., & Brannon, E. M. (2009). The relative salience of discrete and continuous quantities in infants. Developmental Science, 12, 453-463.
Cordes, S., & Gelman, R. (2005). The young numerical mind: When does it count? In J. Campbell (Eds.), Handbook of mathematical cognition, 127-142.
Cantlon, J. F., Safford, K. E., & Brannon, E. M. (2010). Spontaneous analog number representations in 3-year-old children. Developmental Science, 13(2), 289-297.
Condry, K. F., & Spelke, E. S. (2008). The Development of Language and Abstract Concepts: The Case of Natural Number. Journal of Experimental Psychology: General, 137(1), 22-38.
Carey, S. (2001). Cognitive foundations of arithmetic: Evolution and ontogenesis. Mind & Language, 16, 37 -55.
Carey, S. (2004). Boots trapping and the origins of concepts. Daedalus, 133, 59-68.
Gelman, R., & Gallistel, C. R. (1978). The child's understanding of number. Cambridge, MA: Harvard University Press.
Gelman, R. (1991). Epigenetic foundations of knowledge structures:Initial and transcendent constructions. In S. Carey & R. Gelman(Eds.), Epigenesis of mind: Essays on biology and cognition(pp. 293－322). Hillsdale, NJ: Erlbaum.
Gentner, D., & Rattermann, M. J. (1991). Language and the career of similarity. In S. A. Gelman & J. P. Bymes (Eds.), Perspectives on thought and language-Interrelations in development. (pp. 225-277). London: Cambridge University Press.
Ebersbach, M., Luwel, K., Frick, A., Onghena, P., & Verschaffel, L. (2008). The relationship between the shape of the mental number line and familiarity with numbers in 5-to 9-year old children: Evidence for a segmented linear model. Journal of Experimental Child Psychology, 99(1), 1-17.
Feigenson, L., Dehaene, S., & Spelke, E. (2004). Core systems of number. Trends in Cognitive Sciences, 8(7), 307-314.
Fuson, K. C. (1988). Children's counting and concepts of number. New York: Springer-Verlag.
Gilmore, C. K., McCarthy, S. E., & Spelke E. S. (2010). Non-symbolic arithmetic abilities and mathematics achievement in the first year of formal schooling. Cognition, 115, 394-406.
Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74.
Holloway, I. D., & Ansari, D. (2009). Mapping numerical magnitudes onto symbols: The numerical distance effect and individual differences in children's mathematics achievement. Journal of Experimental Child Psychology, 103, 17-29.
Imai, M., Gentner, D., & Uchida, N. (1994). Children's theories about word meaning: The role of shape similarity in early acquisition. Cognitive Development, 9, 45-75.
Izard, V., & Dehaene, S. (2008). Calibrating the mental number line. Cognition, 106(3), 1221-1247.
Jordan, K. E., & Brannon, E. M. (2003). Cardinal number representation in Rhesus monkeys. Poster presented at the annual North Carolina Cognition Group Conference, Durham, NC.
Jordan, K. E., & Brannon, E. M. (2006). The multisensory representation of number in infancy. Proceedings of the National Academy of Sciences, 103, 3486-3489.
Laski, E. V., & Siegler, R. S. (2007). Is 27 a Big Number? Correlational and Causal Connections Among Numerical Categorization, Number Line Estimation, and Numerical Magnitude Comparison. Child Development, 78(6), 1723-1743.
Le Corre, M., & Carey, S. (2007). One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles. Cognition, 105, 395-438.
Lee, M. D., & Sarnecka, B. W. (2010). A model of knower-level behavior in number concept development. Cognitive Science, 34(1), 51-67.
Logan, G. D., & Zbrodoff, N. J. (2003). Subitizing and similarity: Toward a pattern-matching theory of enumeration. Psychonomic Bulletin & Review, 3, 676-682.
Lipton, J. S., & Spelke, E. S. (2005). Preschool Children's Mapping of Number Words to Nonsymbolic Numerosities. Child Development, 76(5), 978-988.
Mix, K. S., Huttenlocher, J., & Levine, S. C. (2002). Multiple cues forquantification in infancy: Is number one of them? Psychological Bulletin, 128, 278-294.
Nieder, A. (2005). Counting on Neurons: The Neurobiology of Numerical Competence. Nature Reviews Neuroscience, 6, 177-190.
Okamoto, Y., & Case, R. (1996). Exploring the microstructure of children's central conceptual structures in the domain of number. Monographs of the Society for Research in Child Development, 61(1-2), 27-58.
Opfer, J. E., & Siegler, R. S. (2007). Representational change and children's numerical estimation. Cognitive Psychology, 55(3), 169-195.
Piaget, J. (1997). The child s conception of number. London: Rout-ledge. (Original work published 1941).
Petitto, A. L. (1990). Development of Numberline and Measurement Concepts. Cognition and Instruction, 7(1), 55-78.
Ramani, G. B., & Siegler, R. S. (2008). Promoting Broad and Stable Improvements in Low-Income Children's Numerical Knowledge Through Playing Number Board Games. Child Development, 79(2), 375-394.
Sarnecka, B. W., &Carey, S. (2008). How counting represents number: What children must learn and when they learn it. Cognition, 108, 662－674.
Siegler, R. S., & Ramani, G. B. (2008). Playing linear numerical board games promotes low-income children's numerical development. Developmental Science, 11(5), 655-661.
Siegler, R. S., & Ramani, G. B. (2009). Playing linear number board games-but not circular ones—improves low-income preschoolers' numerical understanding. Journal of Educational psychology, 101(3), 545-560.
Waxman, S. R., & Markow, D. B. (1995). Words as invitations to form categories: Evidence from 12-to 13-month-old infants. Cognitive Psychology, 29, 257-302.
Whyte, J. C., & Bull, R. (2008). Number Games, Magnitude Representation, and Basic Number Skills in Preschoolers. Developmental Psychology, 44(2), 588-596.
Wood, J. N., & Spelke, E. S. (2005). Infants' enumeration of actions: numerical discrimination and its signature limits. Developmental Science, 8, 173-181.
Wynn, K. (1992). Addition and subtraction by human infants. Nature, 358, 749-750.
Yi, M., & Kristy, V. (2014). Two core system f numerical representation in infants. Developmental Review, 34, 1-25.
陈英和, 赖颖慧. (2013). 儿童非符号数量表征的特点及作用探析. 北京师范大学学报(社会科学版), (1), 33-41.
韩瑽瑽,陈蒲晶,陈英和. (2010). 儿童数概念发展的影响因素: 表面相似性效应与标签效应. 心理发展与教育, (5), 449-456.
韩瑽瑽, 张静, 黄大庆, 陈英和. (2010). 2-4 年级数学困难与普通儿童数量估计能力的比较. 中国特殊教育, (4), 47-51.
韩瑽瑽. (2012). 表面相似性效应和标签效应对3~5岁儿童数概念发展的影响和促进. 北京师范大学博士学位论文.
韩瑽瑽,张静,陈英和.(2013).2～5 岁儿童的数概念发展水平理解者水平理论的视角. 心理科学, 36(5), 1133-1139.
赖颖慧, 陈英和, 陈聪. (2012). 视知觉线索对幼儿小数离散量表征的影响. 心理发展与教育, (4), 337-344.
王静, 陈英和, 曹仕莹. (2011). 类比数量表征的线索:离散量还是连续量. 心理发展与教育, (1), 1-8.
王静. (2010). 类比数量表征的线索和形式. 北京师范大学博士学位论文.
王乃弋, 罗跃嘉, 李红. (2006). 两种数量表征系统. 心理科学进展, 14(4), 610-617.
王一峰, 王荣燕, 李红. (2011). 感数的认知机制: 从注意到工作记忆. 心理科学进展, 19(7), 967-975.
徐华, 陈英和. (2012). 儿童数字线估计研究的述评与前瞻. 心理研究, 5(5), 46-50.
徐华. (2011). 幼儿线性数量表征的形成及其机制. 北京师范大学博士学位论文.
颜寅龙, 刘电芝, 张润来. (2009). 数字线估计研究: 回顾与展望. 科技信息, (5), 145, 141.

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