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Volumn 72, Issue , 2014, Pages 27-53

Toward exact number: Young children use one-to-one correspondence to measure set identity but not numerical equality

Author keywords

Cognitive development; Foundations of the integers; Mathematical cognition; Number concepts; Preschool children

Indexed keywords

CHILD DEVELOPMENT; CONCEPT FORMATION; FEMALE; HUMAN; LEARNING; MATHEMATICS; PRESCHOOL CHILD;

EID: 84897884564     PISSN: 00100285     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cogpsych.2014.01.004     Document Type: Article
Times cited : (52)

References (69)
  • 1
    • 70449687863 scopus 로고    scopus 로고
    • Inference and exact numerical representation in early language development
    • Barner D., Bachrach A. Inference and exact numerical representation in early language development. Cognitive Psychology 2009, 60(1):40-62.
    • (2009) Cognitive Psychology , vol.60 , Issue.1 , pp. 40-62
    • Barner, D.1    Bachrach, A.2
  • 2
    • 0030639872 scopus 로고    scopus 로고
    • Cardinal limits: Evidence from language awareness and bilingualism for developing concepts of number
    • Bialystok E., Codd J. Cardinal limits: Evidence from language awareness and bilingualism for developing concepts of number. Cognitive Development 1997, 12(1):85-106.
    • (1997) Cognitive Development , vol.12 , Issue.1 , pp. 85-106
    • Bialystok, E.1    Codd, J.2
  • 4
    • 84863811757 scopus 로고    scopus 로고
    • Inhibitory control in number-conservation and class-inclusion tasks: A neo-Piagetian inter-task priming study
    • Borst G., Poirel N., Pineau A., Cassotti M., Houdé O. Inhibitory control in number-conservation and class-inclusion tasks: A neo-Piagetian inter-task priming study. Cognitive Development 2012, 27(3):283-298.
    • (2012) Cognitive Development , vol.27 , Issue.3 , pp. 283-298
    • Borst, G.1    Poirel, N.2    Pineau, A.3    Cassotti, M.4    Houdé, O.5
  • 5
    • 0035434011 scopus 로고    scopus 로고
    • The development of ordinal numerical competence in young children
    • Brannon E.M., Van de Walle G.A. The development of ordinal numerical competence in young children. Cognitive Psychology 2001, 43(1):53-81.
    • (2001) Cognitive Psychology , vol.43 , Issue.1 , pp. 53-81
    • Brannon, E.M.1    Van de Walle, G.A.2
  • 6
    • 84882598073 scopus 로고    scopus 로고
    • Pragmatic inference, not semantic competence, guides 3-year-olds' interpretation of unknown number words
    • Brooks N., Audet J., Barner D. Pragmatic inference, not semantic competence, guides 3-year-olds' interpretation of unknown number words. Developmental Psychology 2012, 49(6):1066-1075.
    • (2012) Developmental Psychology , vol.49 , Issue.6 , pp. 1066-1075
    • Brooks, N.1    Audet, J.2    Barner, D.3
  • 7
    • 78649451907 scopus 로고    scopus 로고
    • Foundational numerical capacities and the origins of dyscalculia
    • Butterworth B. Foundational numerical capacities and the origins of dyscalculia. Trends in Cognitive Sciences 2010, 14(12):534-541.
    • (2010) Trends in Cognitive Sciences , vol.14 , Issue.12 , pp. 534-541
    • Butterworth, B.1
  • 10
    • 39449099328 scopus 로고    scopus 로고
    • The development of language and abstract concepts: The case of natural number
    • Condry K.F., Spelke E.S. The development of language and abstract concepts: The case of natural number. Journal of Experimental Psychology: General 2008, 137(1):22-38.
    • (2008) Journal of Experimental Psychology: General , vol.137 , Issue.1 , pp. 22-38
    • Condry, K.F.1    Spelke, E.S.2
  • 11
    • 0001885727 scopus 로고
    • Early number development: Discovering number space with addition and subtraction
    • Erlbaum, Hillsdale, NJ, C. Sophian (Ed.)
    • Cooper R.G.J. Early number development: Discovering number space with addition and subtraction. Origins of cognitive skills 1984, 157-192. Erlbaum, Hillsdale, NJ. C. Sophian (Ed.).
    • (1984) Origins of cognitive skills , pp. 157-192
    • Cooper, R.G.J.1
  • 12
    • 84856810346 scopus 로고    scopus 로고
    • Does learning to count involve a semantic induction?
    • Davidson K., Eng K., Barner D. Does learning to count involve a semantic induction?. Cognition 2012, 123(1):162-173.
    • (2012) Cognition , vol.123 , Issue.1 , pp. 162-173
    • Davidson, K.1    Eng, K.2    Barner, D.3
  • 13
    • 0004069989 scopus 로고    scopus 로고
    • Oxford University Press, Penguin Press, New York, Cambridge (UK)
    • Dehaene S. The number sense 1997, Oxford University Press, Penguin Press, New York, Cambridge (UK).
    • (1997) The number sense
    • Dehaene, S.1
  • 14
    • 84857506806 scopus 로고    scopus 로고
    • Space, time and number in the brain. Searching for the foundations of mathematical thought
    • Academic Press.
    • Dehaene, S., & Brannon, E.M. (2011). Space, time and number in the brain. Searching for the foundations of mathematical thought (Vol. 24). In Attention and performance. Academic Press.
    • (2011) In Attention and performance. , vol.24
    • Dehaene, S.1    Brannon, E.M.2
  • 15
    • 0027508419 scopus 로고
    • Development of elementary numerical abilities: A neuronal model
    • Dehaene S., Changeux J.P. Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neuroscience 1993, 5:190-407.
    • (1993) Journal of Cognitive Neuroscience , vol.5 , pp. 190-407
    • Dehaene, S.1    Changeux, J.P.2
  • 16
    • 84855781585 scopus 로고    scopus 로고
    • Quantity recognition among speakers of an Anumeric language
    • Everett C., Madora K. Quantity recognition among speakers of an Anumeric language. Cognitive Science 2012, 36(1):130-141.
    • (2012) Cognitive Science , vol.36 , Issue.1 , pp. 130-141
    • Everett, C.1    Madora, K.2
  • 18
    • 33645091231 scopus 로고    scopus 로고
    • Evidence of amodal representation of small numbers across visuo-tactile modalities in 5-month-old infants
    • Féron J., Gentaz E., Streri A. Evidence of amodal representation of small numbers across visuo-tactile modalities in 5-month-old infants. Cognitive Development 2006, 21:81-92.
    • (2006) Cognitive Development , vol.21 , pp. 81-92
    • Féron, J.1    Gentaz, E.2    Streri, A.3
  • 19
    • 80055097822 scopus 로고    scopus 로고
    • Numerosity and number signs in deaf Nicaraguan adults
    • Flaherty M., Senghas A. Numerosity and number signs in deaf Nicaraguan adults. Cognition 2011, 121(3):427-436.
    • (2011) Cognition , vol.121 , Issue.3 , pp. 427-436
    • Flaherty, M.1    Senghas, A.2
  • 20
    • 51249105329 scopus 로고    scopus 로고
    • Number as a cognitive technology: Evidence from Piraha language and cognition
    • Frank M.C., Everett D.L., Fedorenko E., Gibson E. Number as a cognitive technology: Evidence from Piraha language and cognition. Cognition 2008, 108(3):819-824.
    • (2008) Cognition , vol.108 , Issue.3 , pp. 819-824
    • Frank, M.C.1    Everett, D.L.2    Fedorenko, E.3    Gibson, E.4
  • 21
  • 23
    • 0026902355 scopus 로고
    • Preverbal and verbal counting and computation
    • Gallistel C.R., Gelman R. Preverbal and verbal counting and computation. Cognition 1992, 44(1):43-74.
    • (1992) Cognition , vol.44 , Issue.1 , pp. 43-74
    • Gallistel, C.R.1    Gelman, R.2
  • 24
    • 0002434222 scopus 로고
    • Logical capacity of very young children: Number invariance rules
    • Gelman R. Logical capacity of very young children: Number invariance rules. Child Development 1972, 43:75-90.
    • (1972) Child Development , vol.43 , pp. 75-90
    • Gelman, R.1
  • 27
    • 0015447687 scopus 로고
    • The nature and development of early number concepts
    • Academic Press, New York, H.W. Reese (Ed.)
    • Gelman R. The nature and development of early number concepts. Advances in child development 1972, 115-167. Academic Press, New York. H.W. Reese (Ed.).
    • (1972) Advances in child development , pp. 115-167
    • Gelman, R.1
  • 28
    • 5644233702 scopus 로고    scopus 로고
    • Numerical cognition without words: Evidence from Amazonia
    • Gordon P. Numerical cognition without words: Evidence from Amazonia. Science 2004, 306(5695):496-499.
    • (2004) Science , vol.306 , Issue.5695 , pp. 496-499
    • Gordon, P.1
  • 30
    • 54849430153 scopus 로고    scopus 로고
    • Developmental change in the acuity of the "Number Sense": The approximate number system in 3-, 4-, 5-, and 6-year-olds and adults
    • Halberda J., Feigenson L. Developmental change in the acuity of the "Number Sense": The approximate number system in 3-, 4-, 5-, and 6-year-olds and adults. Developmental Psychology 2008, 44(5):1457-1465.
    • (2008) Developmental Psychology , vol.44 , Issue.5 , pp. 1457-1465
    • Halberda, J.1    Feigenson, L.2
  • 32
    • 0037159541 scopus 로고    scopus 로고
    • The faculty of language: What is it, who has it, and how did it evolve?
    • Hauser M.D., Chomsky N., Fitch W.T. The faculty of language: What is it, who has it, and how did it evolve?. Science 2002, 298(5598):1569-1579.
    • (2002) Science , vol.298 , Issue.5598 , pp. 1569-1579
    • Hauser, M.D.1    Chomsky, N.2    Fitch, W.T.3
  • 34
    • 84933678089 scopus 로고    scopus 로고
    • Two systems of non-symbolic numerical cognition
    • Hyde D.C. Two systems of non-symbolic numerical cognition. Frontiers in Human Neuroscience 2011, 5:150.
    • (2011) Frontiers in Human Neuroscience , vol.5 , pp. 150
    • Hyde, D.C.1
  • 35
    • 51049107952 scopus 로고    scopus 로고
    • Exact equality and successor function: Two key concepts on the path towards understanding exact numbers
    • Izard V., Pica P., Spelke E.S., Dehaene S. Exact equality and successor function: Two key concepts on the path towards understanding exact numbers. Philosophical Psychology 2008, 21(4):491-505.
    • (2008) Philosophical Psychology , vol.21 , Issue.4 , pp. 491-505
    • Izard, V.1    Pica, P.2    Spelke, E.S.3    Dehaene, S.4
  • 37
    • 0006360260 scopus 로고
    • The role of quantification operators in the development of conservation of quantity
    • Klahr D., Wallace J.G. The role of quantification operators in the development of conservation of quantity. Cognitive Psychology 1973, 4:301-327.
    • (1973) Cognitive Psychology , vol.4 , pp. 301-327
    • Klahr, D.1    Wallace, J.G.2
  • 39
    • 23744496260 scopus 로고    scopus 로고
    • Auditory-visual intermodal matching of small numerosities in 6-month-old infants
    • Kobayashi T., Hiraki K., Hasegawa T. Auditory-visual intermodal matching of small numerosities in 6-month-old infants. Developmental Science 2005, 8(5):409-419.
    • (2005) Developmental Science , vol.8 , Issue.5 , pp. 409-419
    • Kobayashi, T.1    Hiraki, K.2    Hasegawa, T.3
  • 41
    • 34548447632 scopus 로고    scopus 로고
    • One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles
    • Le Corre M., Carey S. One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles. Cognition 2007, 105(2):395-438.
    • (2007) Cognition , vol.105 , Issue.2 , pp. 395-438
    • Le Corre, M.1    Carey, S.2
  • 42
    • 31544450313 scopus 로고    scopus 로고
    • Re-visiting the competence/performance debate in the acquisition of the counting principles
    • Le Corre M., Van de Walle G., Brannon E.M., Carey S. Re-visiting the competence/performance debate in the acquisition of the counting principles. Cognitive Psychology 2006, 52(2):130-169.
    • (2006) Cognitive Psychology , vol.52 , Issue.2 , pp. 130-169
    • Le Corre, M.1    Van de Walle, G.2    Brannon, E.M.3    Carey, S.4
  • 44
    • 30044446855 scopus 로고    scopus 로고
    • Preschool children master the logic of number word meanings
    • Lipton J.S., Spelke E.S. Preschool children master the logic of number word meanings. Cognition 2006, 98(3):B57-B66.
    • (2006) Cognition , vol.98 , Issue.3
    • Lipton, J.S.1    Spelke, E.S.2
  • 45
    • 0040498455 scopus 로고
    • Classes and collections: Conceptual organization and numerical abilities
    • Markman E.M. Classes and collections: Conceptual organization and numerical abilities. Cognitive Psychology 1979, 11(4):395-411.
    • (1979) Cognitive Psychology , vol.11 , Issue.4 , pp. 395-411
    • Markman, E.M.1
  • 46
    • 9344219907 scopus 로고    scopus 로고
    • Large-number addition and subtraction by 9-month-old infants
    • McCrink K., Wynn K. Large-number addition and subtraction by 9-month-old infants. Psychological Science 2004, 15(11):776-781.
    • (2004) Psychological Science , vol.15 , Issue.11 , pp. 776-781
    • McCrink, K.1    Wynn, K.2
  • 47
    • 34547605313 scopus 로고    scopus 로고
    • Ratio abstraction by 6-month-old infants
    • McCrink K., Wynn K. Ratio abstraction by 6-month-old infants. Psychological Science 2007, 18(8):740-745.
    • (2007) Psychological Science , vol.18 , Issue.8 , pp. 740-745
    • McCrink, K.1    Wynn, K.2
  • 49
    • 0036748409 scopus 로고    scopus 로고
    • The construction of number concepts
    • Mix K.S. The construction of number concepts. Cognitive Development 2002, 17(3-4):1345-1363.
    • (2002) Cognitive Development , vol.17 , Issue.3-4 , pp. 1345-1363
    • Mix, K.S.1
  • 51
    • 65349151543 scopus 로고    scopus 로고
    • Why set-comparison is vital in early number learning
    • Muldoon K., Lewis C., Freeman N. Why set-comparison is vital in early number learning. Trends in Cognitive Sciences 2009, 13(5):203-208.
    • (2009) Trends in Cognitive Sciences , vol.13 , Issue.5 , pp. 203-208
    • Muldoon, K.1    Lewis, C.2    Freeman, N.3
  • 52
    • 84897909493 scopus 로고
    • The child's conception of number. Norton.
    • Piaget, J. (1965). The child's conception of number. Norton.
    • (1965)
    • Piaget, J.1
  • 53
    • 84858615535 scopus 로고    scopus 로고
    • Bootstrapping in a language of thought: A formal model of numerical concept learning
    • Piantadosi S.T., Tenenbaum J.B., Goodman N.D. Bootstrapping in a language of thought: A formal model of numerical concept learning. Cognition 2012, 123(2):199-217.
    • (2012) Cognition , vol.123 , Issue.2 , pp. 199-217
    • Piantadosi, S.T.1    Tenenbaum, J.B.2    Goodman, N.D.3
  • 54
    • 77952888628 scopus 로고    scopus 로고
    • Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia
    • Piazza M., Facoetti A., Trussardi A.N., Berteletti I., Conte S., Lucangeli D., et al. Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. Cognition 2010, 116(1):33-41.
    • (2010) Cognition , vol.116 , Issue.1 , pp. 33-41
    • Piazza, M.1    Facoetti, A.2    Trussardi, A.N.3    Berteletti, I.4    Conte, S.5    Lucangeli, D.6
  • 57
    • 84887614192 scopus 로고    scopus 로고
    • The idea of an exact number: children's understanding of cardinality and equinumerosity
    • Sarnecka B.W., Wright C.E. The idea of an exact number: children's understanding of cardinality and equinumerosity. Cognitive Science 2013, 37(8):1493-1506.
    • (2013) Cognitive Science , vol.37 , Issue.8 , pp. 1493-1506
    • Sarnecka, B.W.1    Wright, C.E.2
  • 58
    • 51449087810 scopus 로고    scopus 로고
    • How counting represents number: What children must learn and when they learn it
    • Sarnecka B.W., Carey S. How counting represents number: What children must learn and when they learn it. Cognition 2008, 108(3):662-674.
    • (2008) Cognition , vol.108 , Issue.3 , pp. 662-674
    • Sarnecka, B.W.1    Carey, S.2
  • 59
    • 1442351119 scopus 로고    scopus 로고
    • Six does not just mean a lot: Preschoolers see number words as specific
    • Sarnecka B.W., Gelman S.A. Six does not just mean a lot: Preschoolers see number words as specific. Cognition 2004, 92(3):329-352.
    • (2004) Cognition , vol.92 , Issue.3 , pp. 329-352
    • Sarnecka, B.W.1    Gelman, S.A.2
  • 61
    • 0009216796 scopus 로고
    • The relationship of language and thought in the preoperational child: A reconsideration of nonverbal alternatives to Piagetian tasks
    • Siegel L.S. The relationship of language and thought in the preoperational child: A reconsideration of nonverbal alternatives to Piagetian tasks. Alternatives to Piaget: Critical Essays on the Theory 1978, 43-67.
    • (1978) Alternatives to Piaget: Critical Essays on the Theory , pp. 43-67
    • Siegel, L.S.1
  • 62
    • 0031185169 scopus 로고    scopus 로고
    • Reconceptualizing the origins of number knowledge: A non-numerical account
    • Simon T.J. Reconceptualizing the origins of number knowledge: A non-numerical account. Cognitive Development 1997, 12:349-372.
    • (1997) Cognitive Development , vol.12 , pp. 349-372
    • Simon, T.J.1
  • 64
    • 4344613272 scopus 로고    scopus 로고
    • What makes us smart? Core knowledge and natural language
    • MIT Press, Cambridge, MA, D. Gentner, S. Goldin-Meadow (Eds.)
    • Spelke E. What makes us smart? Core knowledge and natural language. Language in mind: Advances in the study of language and thought 2003, 528. MIT Press, Cambridge, MA. D. Gentner, S. Goldin-Meadow (Eds.).
    • (2003) Language in mind: Advances in the study of language and thought , pp. 528
    • Spelke, E.1
  • 65
    • 0020168870 scopus 로고
    • A probabilistic model for the discrimination of visual number
    • van Oeffelen M., Vos P. A probabilistic model for the discrimination of visual number. Attention, Perception, & Psychophysics 1982, 32(2):163-170.
    • (1982) Attention, Perception, & Psychophysics , vol.32 , Issue.2 , pp. 163-170
    • van Oeffelen, M.1    Vos, P.2
  • 66
    • 0025473241 scopus 로고
    • Children's understanding of counting
    • Wynn K. Children's understanding of counting. Cognition 1990, 36(2):155-193.
    • (1990) Cognition , vol.36 , Issue.2 , pp. 155-193
    • Wynn, K.1
  • 67
    • 0026733446 scopus 로고
    • Addition and subtraction by human infants
    • Wynn K. Addition and subtraction by human infants. Nature 1992, 358(6389):749-750.
    • (1992) Nature , vol.358 , Issue.6389 , pp. 749-750
    • Wynn, K.1
  • 68
    • 0033991536 scopus 로고    scopus 로고
    • Large number discrimination in 6-month-old infants
    • Xu F., Spelke E.S. Large number discrimination in 6-month-old infants. Cognition 2000, 74(1):B1-B11.
    • (2000) Cognition , vol.74 , Issue.1
    • Xu, F.1    Spelke, E.S.2


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