Psychological Development and Education ›› 2011, Vol. 27 ›› Issue (1): 1-8.

    Next Articles

Representation of Analog Magnitude:Discrete Quantity or Continuous Quantity

WANG Jing1,2, CHEN Ying-he1, CAO Shi-ying1   

  1. 1. Institute of Development Psychology, Beijing Normal University, Beijing 100875;
    2. Department of Youth and Children Work, China Youth University for Political Sciences, Beijing 100089
  • Online:2011-01-15 Published:2011-01-15

Abstract: The Stroop paradigm was adopted to investigate the cue of analog magnitude representation.Participants were 30 adults.In one task,the participants were asked to choose the set which has larger number of elements.In anther task,the participants were asked to choose the set which has larger continuous amount.It was shown that the Stroop effect only occurred in continuous amount task,but not in elements number task.From the further analysis we found that the congruent degree between discrete quantity and continuous quantity influence both tasks. These results suggest that both continuous and discrete quantity may be extracted automatically from a scene and represented internally,and it was much more difficult to restrain discrete quantity than continuous quantity which leads to Stroop interference.

Key words: analog magnitude representation, discrete quantity, continuous quantity, Stroop paradigm

CLC Number: 

  • B844.3
[1] Barth,H.C.(2008).Judgments of discrete and continuous quantity: An illusory Stroop effect.Cognition,109,251-266.
[2] Brannon,E.M.(2006).The representation of numerical magnitude. Current Opinion in Neurobiology,16,222-229.
[3] Brannon,E.(2002).The development of ordinal numerical knowledge in infancy.Cognition,83,223-240.
[4] Brannon,E.M.,Abbott,S.,&Lutz,D.J.(2004).Number bias for the discrimination of large visual sets in infancy.Cognition,93,B59-B68.
[5] 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.
[6] Dehaene,S.(1992).Varieties of numerical abilities.Cognition,44,1-42.
[7] Dehaene,S.(1997).The number sense.New York:Oxford University Press.
[8] Feigenson,L.,Carey,S.,&Hauser,M.D.(2002).The representations underlying infants-choices of more:object-files versus analog magnitudes.Psychological Science,13,150-156.
[9] Feigenson,L.,Dehaene,S.,&Spelke,E.(2004).Core systems of number.TRENDS in Cognitive Sciences 8(7),307-314.
[10] Gallistel,C.R.,&Gelman,R.(1992).Preverbal and verbal counting and computation.Cognition,44,43-74.
[11] Gallistel,C.R.,&Gelman,R.(2000).Non-verbal numerical cognition:From reals to integers.Trends in Cognitive Sciences,4,59-65.
[12] Gelman,R.,&Butterworth,B.(2005).Number and language:how are they related?Trends in Cognitive Sciences,9(1),6-10.
[13] Ginsburg,N.(1988).Perceived numerosity as a function of item size.Perceptual and Motor Skills,67,656-658.
[14] Hurewitz,F.,Gelman,R.,&Schnitzer,B.(2006).Sometimes area counts more than number.Proceedings of the National Academy of Sciences,103,19599-19604.
[15] Kaufman,E.L.,Lord,M.W.,Reese,T.W.,&Volkmann,J.(1949).The discrimination of visual number.American Journal of Psychology,62,498-525.
[16] Logan,G.D.,&Zbrodoff,N.J.(2003)Subitizing and similarity:Toward a pattern-matching theory of enumeration.Psychonomic Bulletin&Review,3(7),676-682.
[17] Mix,K.S.,Huttenlocher,J.,&Levine,S.C.(2002).Multiple cues forquantification in infancy:Is number one of them?Psychologi-calBulletin,128,278-294.
[18] Nieder,A.(2005).Counting on numbers:The neurobiology of numerical competence.Nature Reviews Neuroscience,6,177-190.
[19] Piazza,M.,Izard,V.,Pinel,P.,Le Bihan,D.,&Dehaene,S.(2004).Tuning curves for approximate numerosity in the human intraparietal sulcus.Neuron,44(3),547-555.
[20] Wynn,K.(1995).Origins of numerical knowledge.Mathematical Cognition,3,35-60.
[21] Xu,F.,&Spelke,E.S.(2000).Large number discrimination in 6-month-old infants.Cognition,7,B1-B11.
[22] van Oeffelen,M.P.,&Vos,P.G.(1982).A probabilistic model for the discrimination of visual number.Perception&Psychophysics,32,163-170.
[1] LAI Ying-hui, CHEN Ying-he, CHEN Cong. The Role of Visual-perceptional Clues in the Small Discrete Quantities Representation of Preschool Children [J]. Psychological Development and Education, 2012, 28(4): 337-344.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!