Psychological Development and Education ›› 2012, Vol. 28 ›› Issue (4): 337-344.

    Next Articles

The Role of Visual-perceptional Clues in the Small Discrete Quantities Representation of Preschool Children

LAI Ying-hui1, CHEN Ying-he1, CHEN Cong2   

  1. 1. Institute of Developmental Psychology, Beijing Normal University, Beijing 100875, China;
    2. Department of Psychology, School of Humanities and Sciences, Beijing Forestry University, Beijing 100083, China
  • Online:2012-07-15 Published:2012-07-15

Abstract: This study analyzed the role of visual-perceptional clues in the small numerical values representation of preschool children.80 children preformed the magnitude discrimination task,and 74 of them preformed the magnitude comparison tasks.The results showed that young children did not show the preference of accumulated surface areas,they can analyze the accumulated surface areas and the number of biscuits simultaneously,in order to distinguish the abstract magnitude relation.This ability enhanced with age,most of the subjects with low magnitude discrimination abilities were 3 and 4-year-old,in which the younger group performed significantly better in square biscuits condition than rounded biscuits.When the accumulated surface areas interfered the magnitude comparison,the correct rate became lower with the magnitude ratio growing,so the small magnitude representation was no longer accurate; while the perceptual features of single elements were more distinctive,the correct rate of magnitude compare was no longer interfered by the magnitude ratio.This indicated that the single and global perceptual clues are both affect the small magnitude representation, suggesting that the small magnitude representation of preschool children is not always precisely,it sometimes also needs the analog magnitude systeml.

Key words: preschool children, small amount of number, discrete quantity representation, visualperceptional clues

CLC Number: 

  • B844. 1
[1] Brannon,E.M.,& Terrace,H.S.(2000).Representation of the numerosities 1-9 by rhesus monkeys (Macaca mulatta).Journal of Experimental Psychology: Animal Behavior Processes,26,31-49.
[2] Brannon,E.M.,Abbott,S.,& Lutz,D.(2004).Number bias for the discrimination of large visual sets in infancy.Cognition,93,59-68.
[3] Brysbaert,M.(2004).Number recognition in different formats.In:Campbell,J.I.D.(Ed.),Handbook of Mathematical Cognition (pp.23-42).Psychology Press,New York & Hove.
[4] Cantlon,J.F.,Safford,K.E.,& Brannon,E.M.(2010).Spontaneous analog number representations in 3-year-old children.Developmental Science,13,289-297.
[5] Cantlon,J.F.,Fink,R.,Safford,K.,& Brannon,E.M.(2007).Heterogeneity impairs numerical matching but not numerical ordering in preschool children.Developmental Science,10,431-440.
[6] Clearfield,M.,& Mix,K.(1999).Number versus contour length in infants'discrimination of small visual sets.Psychological Science,10,408-411.
[7] Cordes,S.,& Brannon,E.M.(2008).The difficulties of representing continuous extent in infancy: representing number is just easier.Child Development,79,476-489.
[8] Cordes,S.,& Brannon,E.M.(2009).The relative salience of discrete and continuous quantities in infants.Developmental Science,12,453-463.
[9] Cordes,S.,Gelman,R.,Gallistel,C.,& Whalen,J.(2001).Variability Signatures Distinguish Verbal from Nonverbal Counting for Both Large and Small Numbers.Psychonomic Bulletin & Review,8,698-707.
[10] Dehaene,S.(1997).The number sense.New York: Oxford University Press.
[11] Feigenson,L.,Carey,S.,& Hauser,M.(2002b).The representations underlying infants'choice of more: Object files versus analog magnitudes.Psychological Science,13,150.
[12] Feigenson,L.,Carey,S.,& Spelke,E.(2002a).Infants' discrimination of number vs.continuous extent.Cognitive Psychology,44,33-66.
[13] Feigenson,L.,Dehaene,S.,& Spelke,E.(2004).Core systems of number.Trends in Cognitive Sciences,8,307-314.
[14] Gallistel,C.T.,& Gelman,R.(2000).Non-verbal numerical cognition: from reals to integers.Trends in Cognitive Sciences,4,59-65.
[15] Gallistel,C.T.,& Gelman,R.(1992).Prevebal and verbal counting and computation.Cognition,44,43-74.
[16] Hilary,C.B.(2008).Judgments of discrete and continuous quantity:An illusory Stroop effect.Cognition,109,251-266.
[17] Hurewitz,F.,Gelman,R.,& Schnitzer,B.(2006).Sometimes area counts more than number.Proceedings of the National Academy of Sciences,103,19599-19604.
[18] Hyde,D.C.,& Wood,J.N.(2010).Spatial Attention Determines the Nature of Nonverbal Number Representation.Journal of Cognitive Neuroscience,23,2336-2351.
[19] Jordan,K.E.,& Brannon,E.M.(2006).The multisensory representation of number in infancy.Proceedings of the National Academy of Sciences,103,3486-3489.
[20] Jordan,N.C.,Glutting,J.,& Ramineni,C.(2010).The importance of number sense to mathematics achievement in first and third grades.Learning and Individual Differences,20,82-88.
[21] Kahneman,D.,Treisman,A.,& Gibbs,B.J.(1992).The reviewing of object files: Object-specific.Cognitive development,22,175-219.
[22] Koechlin,E.,Dehaene,S.,& Mehler,J.(1997).Numberical transformations in five-month-old hunman infants.Mathematical Cognition,3,89-104.
[23] 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.
[24] Leslie,A.,Xu,F.,Tremoulet,P.,& Scholl,B.(1998).Indexing and the object concept: developing ‘what' and ‘where' systems.Trends in Cognitive Sciences,2,10-18.
[25] Lipton,J.S.,& Spelke,E.S.(2003).Origins of number sense:Large-number discrimination in human infants.Psychological Science,14,396-401.
[26] Lipton,J.S.,& Spelke,E.S.(2004).Discrimination of Large and Small Numerosities by Human Infants.Infancy,5,271-290.
[27] Mix,K.S.,Huttenlocher,J.,& Levine,S.C.(2002).Multiple cues for quantification in infancy: Is number one of them.Psychological Bulletin,128,278-294.
[28] Moyer,R.S.,& Landaeur,T.K.(1967).Time required for judgments of numerical inequality.Nature,215,1519-1520.
[29] Rousselle,L.,Palmers,E.,& Nol,M.P.(2004) Magnitude comparison in preschoolers: What counts? Influence of perceptual variables.Journal of Experimental Child Psychology,87,57-84.
[30] Sulkowski,G.M.,& Hauser,M.D.(2000).Can rhesus monkeys spontaneously subtract? cognition,79,239-262.
[31] Trick,L.M.,& Pylyshyn,Z.W.(1993).What enumeration studies can show us about spactial attention: Evidence for limited capacity preattentive processing.Journal of Experimental psychology: Human Perception and Performance,19,331-351.
[32] Trick,L.M.,& Pylyshyn,Z.W.(1994).Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision.Psychological Review,101,80-102.
[33] Uller,C.,Carey,S.,Huntley,F.G.,& Klatt,L.(1999).What representations might underlie infant numerical knowledge? Cognitive Development,14,1-36.
[34] van Oeffelen,M.P.,& Vos,P.G.(1982).A probabilistic model for the discrimination of visual number.Perception & Psychophysics,32,163-170.
[35] Wood,J.N.,& Spelke,E.S.(2005).Infants' enumeration of actions: numerical discrimination and its signature limits.Developmental Science,8,173-181.
[36] Xu,F.(2003).Numerosity discrimination in infants: Evidence for two systems of representations.Cognition,89,B15-B25.
[37] Xu,F.,& Arriaga,R.I.(2007).Number discrimination in 10-month-old infants.British Journal of Developmental Psychology,25,103-108.
[38] Xu,F.,& Spelke,E.S.(2000).Large number discrimination in 6-month-old infants.Cognition,74,B1-B11.
[39] Xu,F.,Spelke,E.,& Goddard,S.(2005).Number sense in human infants.Developmental Science,8,88-101.
[40] Xu,F.,& Carey,S.(1996).Infants' metaphysics: The case of numerical identity.Cognitive Psychology,30,111-153.
[41] 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.
[42] 王乃弋,罗跃嘉,李红.(2006).两种数量表征系统.心理科学进展,14,610-617.
[1] LENG Xinyi, SU Mengmeng, LI Wenling, YANG Xiujie, XING Ailing, ZHANG Xianglin, SHU Hua. The Relation between Home Environment and Early Language Development in Rural China [J]. Psychological Development and Education, 2024, 40(1): 8-18.
[2] WANG Yingjie, LUAN Jinxin, LI Yan. The Relationship between Maternal Parenting Stress and Preschool Children's Anxiety: The Mediating Effect of Mother-child Conflict and the Moderating Effect of Maternal Mindfulness [J]. Psychological Development and Education, 2023, 39(5): 702-709.
[3] WANG Ying, ZHU Haidong, ZHANG Xinyi, XIAO Yan. The Influence of Parent-child Attachment on the Executive Function of Left-behind Preschool Children: Grandparent-child Attachment as a Mediator and Moderator [J]. Psychological Development and Education, 2022, 38(2): 195-206.
[4] ZHANG Guangzhen, LIANG Miao, LIANG Zongbao. A Longitudinal Study of the Influence of Parenting Styles on Social Adjustment of Preschool Children: Mediating Effects of Self-control [J]. Psychological Development and Education, 2021, 37(6): 800-807.
[5] WANG Wei, GONG Deying, CHENG Chun, CHEN Ke, LI Yongxin, YAN Jingjing. The Characteristics of Number Sense in 5~7 Years Old Children with Autism Spectrum Disorder [J]. Psychological Development and Education, 2021, 37(6): 818-825.
[6] ZHAN Shuwei, YANG Ning, ZHAO Bihua. Receptive Language Skills and Social Withdrawal among Chinese Left-behind Preschool Children: A Moderated Mediation Model [J]. Psychological Development and Education, 2021, 37(6): 834-844.
[7] ZHANG Fan, ZHAO Demao, LIU Xia, BAI Rong, ZHANG Mingliang, XING Shufen. The Co-effect of Parental Negative Parenting Style and MAOA rs6323 Polymorphism on Externalizing Problem Behaviors of Preschool Children [J]. Psychological Development and Education, 2020, 36(6): 659-667.
[8] YU Xiao, WANG Hongmei, CHEN Yinghe, LIU Ruishu, HAN Congcong, HAN Min, ZHANG Han, LIU Jing. The Role of Distractor Inhibition and Relational Integration in Preschool Children's Analogical Reasoning [J]. Psychological Development and Education, 2020, 36(4): 385-393.
[9] LIU Yufei, QIAN Yi, SONG Yaowu, BI Hongyan. Study on the Emergence and Development of Orthographic Awareness in Chinese Preschool Children [J]. Psychological Development and Education, 2018, 34(1): 65-72.
[10] SHU Zeng, HE Qiong, LI Xiaomin, ZHANG Jing, ZHANG Yuehan, FANG Xiaoyi. Effect of Maternal Stress on Preschoolers' Creative Personality: The Mediating Role of Mothers' Parenting Styles [J]. Psychological Development and Education, 2016, 32(3): 276-284.
[11] NIU Yubai, SHI Ranran, CAO Xiancai. Preschool Children's Approximate Number System Acuity and Symbolic Number Abilities [J]. Psychological Development and Education, 2016, 32(2): 129-138.
[12] WANG Mingzhu, ZOU Hong, LI Xiaowei, ZHANG Wenjuan, WANG Yingqian, JIANG Suo. Marital Conflict and Preschool Children's Parenting Styles: The Moderating Role of Parental Emotion Regulation Strategies [J]. Psychological Development and Education, 2015, 31(3): 279-286.
[13] XING Xue-wei, WU Xin-chun, HOU Jian-fang, LIU Chang, CHEN Ling-ling. The Relationship between Paternal Attitudes towards the Role of Father and Father Involvement: The Moderating Effect of Types of Maternal Attitudes [J]. Psychological Development and Education, 2014, 30(4): 387-395.
[14] MA Feng-ling, TANG Yu-long, ZHENG Ting-ting, XU Fen. The Development of 3-to 5-Year-olds' Trust Judgment Based on Face [J]. Psychological Development and Education, 2014, 30(4): 337-344.
[15] LIU Ni-na, WANG Jing, HAN Ying-hong, XU Zhen-ping. The Effect of Three Different Reading Styles on the 2-3 year-old Children’s Attention to Print when Reading Picture Books:Evidence from the Eye Movement Data [J]. Psychological Development and Education, 2014, 30(1): 39-45.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!