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Volumn 103, Issue 4, 2009, Pages 409-420

Preschoolers' nonsymbolic arithmetic with large sets: Is addition more accurate than subtraction?

Author keywords

Addition; Analog magnitude; Nonsymbolic arithmetic; Preschoolers; Set size; Subtraction

Indexed keywords

ARTICLE; CHILD DEVELOPMENT; COGNITION; COMPREHENSION; CONCEPT FORMATION; FEMALE; HUMAN; MALE; MATHEMATICS; NEUROPSYCHOLOGICAL TEST; PATTERN RECOGNITION; PRESCHOOL CHILD; SYMBOLISM; TASK PERFORMANCE;

EID: 67349200772     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2009.01.012     Document Type: Article
Times cited : (7)

References (55)
  • 2
    • 0007347864 scopus 로고    scopus 로고
    • Children's relational knowledge of addition and subtraction
    • Baroody A. Children's relational knowledge of addition and subtraction. Cognition and Instruction 17 (1999) 137-175
    • (1999) Cognition and Instruction , vol.17 , pp. 137-175
    • Baroody, A.1
  • 4
    • 54849427698 scopus 로고    scopus 로고
    • Nonsymbolic, approximate arithmetic in children: Abstract addition prior to instruction
    • Barth H., Beckmann L., and Spelke E. Nonsymbolic, approximate arithmetic in children: Abstract addition prior to instruction. Developmental Psychology 44 (2008) 1466-1477
    • (2008) Developmental Psychology , vol.44 , pp. 1466-1477
    • Barth, H.1    Beckmann, L.2    Spelke, E.3
  • 5
    • 0037212525 scopus 로고    scopus 로고
    • The construction of large number representations in adults
    • Barth H., Kanwisher N., and Spelke E. The construction of large number representations in adults. Cognition 86 (2003) 201-221
    • (2003) Cognition , vol.86 , pp. 201-221
    • Barth, H.1    Kanwisher, N.2    Spelke, E.3
  • 8
    • 1642325924 scopus 로고    scopus 로고
    • Chimpanzees remember the results of one-by-one addition of food items to sets over extended time periods
    • Beran M., and Beran M. Chimpanzees remember the results of one-by-one addition of food items to sets over extended time periods. Psychological Science 15 (2004) 94-99
    • (2004) Psychological Science , vol.15 , pp. 94-99
    • Beran, M.1    Beran, M.2
  • 9
    • 84982047267 scopus 로고
    • Young children's representations and strategies for subtraction
    • Boulton-Lewis G. Young children's representations and strategies for subtraction. British Journal of Educational Psychology 63 (1993) 441-456
    • (1993) British Journal of Educational Psychology , vol.63 , pp. 441-456
    • Boulton-Lewis, G.1
  • 10
    • 4544268467 scopus 로고    scopus 로고
    • Number bias for the discrimination of large visual sets in infancy
    • Brannon E., Abbott S., and Lutz D. Number bias for the discrimination of large visual sets in infancy. Cognition 93 (2004) B59-B68
    • (2004) Cognition , vol.93
    • Brannon, E.1    Abbott, S.2    Lutz, D.3
  • 11
    • 0035347915 scopus 로고    scopus 로고
    • Numerical subtraction in the pigeon: Evidence for a linear subjective number scale
    • Brannon E., Wusthoff C., Gallistel C., and Gibbon J. Numerical subtraction in the pigeon: Evidence for a linear subjective number scale. Psychological Science 12 (2001) 238-243
    • (2001) Psychological Science , vol.12 , pp. 238-243
    • Brannon, E.1    Wusthoff, C.2    Gallistel, C.3    Gibbon, J.4
  • 12
    • 27744544949 scopus 로고    scopus 로고
    • Children's profiles of addition and subtraction understanding
    • Canobi K. Children's profiles of addition and subtraction understanding. Journal of Experimental Child Psychology 92 (2005) 220-246
    • (2005) Journal of Experimental Child Psychology , vol.92 , pp. 220-246
    • Canobi, K.1
  • 16
    • 0032146302 scopus 로고    scopus 로고
    • Abstract representations of numbers in the animal and human brain
    • Dehaene S., Dehaene-Lambertz G., and Cohen L. Abstract representations of numbers in the animal and human brain. Trends in Neurosciences 21 (1998) 355-361
    • (1998) Trends in Neurosciences , vol.21 , pp. 355-361
    • Dehaene, S.1    Dehaene-Lambertz, G.2    Cohen, L.3
  • 17
    • 33749020551 scopus 로고    scopus 로고
    • Scalar effects in the visual discrimination of numerosity by pigeons
    • Emmerton J., and Renner J. Scalar effects in the visual discrimination of numerosity by pigeons. Learning & Behavior 34 (2006) 176-192
    • (2006) Learning & Behavior , vol.34 , pp. 176-192
    • Emmerton, J.1    Renner, J.2
  • 18
    • 0036518063 scopus 로고    scopus 로고
    • The representations underlying infants' choice of more: Object files versus analog magnitudes
    • Feigenson L., Carey S., and Hauser M. The representations underlying infants' choice of more: Object files versus analog magnitudes. Psychological Science 13 (2002) 150-156
    • (2002) Psychological Science , vol.13 , pp. 150-156
    • Feigenson, L.1    Carey, S.2    Hauser, M.3
  • 20
    • 26844561387 scopus 로고    scopus 로고
    • Rhesus monkeys (Macaca mulatto) spontaneously compute addition operations over large numbers
    • Flombaum J., Junge J., and Hauser M. Rhesus monkeys (Macaca mulatto) spontaneously compute addition operations over large numbers. Cognition 97 (2005) 315-325
    • (2005) Cognition , vol.97 , pp. 315-325
    • Flombaum, J.1    Junge, J.2    Hauser, M.3
  • 22
    • 0009930814 scopus 로고
    • Instruction supporting children's counting on for addition and counting up for subtraction
    • Fuson K., and Fuson A. Instruction supporting children's counting on for addition and counting up for subtraction. Journal for Research in Mathematics Education 23 (1992) 72-78
    • (1992) Journal for Research in Mathematics Education , vol.23 , pp. 72-78
    • Fuson, K.1    Fuson, A.2
  • 23
    • 0033968177 scopus 로고    scopus 로고
    • Non-verbal numerical cognition: From reals to integers
    • Gallistel C., and Gelman R. Non-verbal numerical cognition: From reals to integers. Trends in Cognitive Sciences 4 (2000) 59-65
    • (2000) Trends in Cognitive Sciences , vol.4 , pp. 59-65
    • Gallistel, C.1    Gelman, R.2
  • 24
    • 67349268199 scopus 로고    scopus 로고
    • Can children construct inverse relations in arithmetic? Evidence for individual differences in the development of conceptual understanding and computational skill
    • Gilmore C., and Bryant P. Can children construct inverse relations in arithmetic? Evidence for individual differences in the development of conceptual understanding and computational skill. British Journal of Developmental Psychology 26 (2008) 301-316
    • (2008) British Journal of Developmental Psychology , vol.26 , pp. 301-316
    • Gilmore, C.1    Bryant, P.2
  • 25
    • 34249882763 scopus 로고    scopus 로고
    • Symbolic arithmetic without instruction
    • Gilmore C.K., McCarthy S.E., and Spelke E.S. Symbolic arithmetic without instruction. Nature 447 (2007) 589-592
    • (2007) Nature , vol.447 , pp. 589-592
    • Gilmore, C.K.1    McCarthy, S.E.2    Spelke, E.S.3
  • 26
    • 42249115841 scopus 로고    scopus 로고
    • Children's understanding of the relationship between addition and subtraction
    • Gilmore C., and Spelke E. Children's understanding of the relationship between addition and subtraction. Cognition 107 (2008) 932-945
    • (2008) Cognition , vol.107 , pp. 932-945
    • Gilmore, C.1    Spelke, E.2
  • 27
    • 0035212202 scopus 로고    scopus 로고
    • Children's understanding of number is similar to adults' and rats': Numerical estimation by 5-7-year-olds
    • Huntley-Fenner G. Children's understanding of number is similar to adults' and rats': Numerical estimation by 5-7-year-olds. Cognition 78 (2001) B27-B40
    • (2001) Cognition , vol.78
    • Huntley-Fenner, G.1
  • 28
    • 0034158413 scopus 로고    scopus 로고
    • Preschoolers' magnitude comparisons are mediated by a preverbal analog mechanism
    • Huntley-Fenner G., and Cannon E. Preschoolers' magnitude comparisons are mediated by a preverbal analog mechanism. Psychological Science 11 (2000) 147-152
    • (2000) Psychological Science , vol.11 , pp. 147-152
    • Huntley-Fenner, G.1    Cannon, E.2
  • 30
    • 25644447997 scopus 로고    scopus 로고
    • Understanding of the concept of numerically "less" by bottlenose dolphins (Tursiops truncatus)
    • Jaakkola K., Fellner W., Erb L., Rodriguez M., and Guarino E. Understanding of the concept of numerically "less" by bottlenose dolphins (Tursiops truncatus). Journal of Comparative Psychology 119 (2005) 296-303
    • (2005) Journal of Comparative Psychology , vol.119 , pp. 296-303
    • Jaakkola, K.1    Fellner, W.2    Erb, L.3    Rodriguez, M.4    Guarino, E.5
  • 31
    • 33749260534 scopus 로고    scopus 로고
    • A common representational system governed by Weber's law: Nonverbal numerical similarity judgments in 6-year-olds and rhesus macaques
    • Jordan K., and Brannon E. A common representational system governed by Weber's law: Nonverbal numerical similarity judgments in 6-year-olds and rhesus macaques. Journal of Experimental Child Psychology 95 (2006) 215-229
    • (2006) Journal of Experimental Child Psychology , vol.95 , pp. 215-229
    • Jordan, K.1    Brannon, E.2
  • 34
    • 0034199374 scopus 로고    scopus 로고
    • Preschoolers doing arithmetic: The concepts are willing but the working memory is weak
    • Klein J., and Bisanz J. Preschoolers doing arithmetic: The concepts are willing but the working memory is weak. Canadian Journal of Experimental Psychology 54 (2000) 105-116
    • (2000) Canadian Journal of Experimental Psychology , vol.54 , pp. 105-116
    • Klein, J.1    Bisanz, J.2
  • 36
    • 0038685868 scopus 로고    scopus 로고
    • Origins of number sense: Large-number discrimination in human infants
    • Lipton J., and Spelke E. Origins of number sense: Large-number discrimination in human infants. Psychological Science 14 (2003) 396-401
    • (2003) Psychological Science , vol.14 , pp. 396-401
    • Lipton, J.1    Spelke, E.2
  • 37
    • 36748999872 scopus 로고    scopus 로고
    • Moving along the number line: Operational momentum in nonsymbolic arithmetic
    • McCrink K., Dehaene S., and Dehaene-Lambertz G. Moving along the number line: Operational momentum in nonsymbolic arithmetic. Perception & Psychophysics 69 (2007) 1324-1333
    • (2007) Perception & Psychophysics , vol.69 , pp. 1324-1333
    • McCrink, K.1    Dehaene, S.2    Dehaene-Lambertz, G.3
  • 38
    • 9344219907 scopus 로고    scopus 로고
    • Large-number addition and subtraction by 9-month-old infants
    • McCrink K., and Wynn K. Large-number addition and subtraction by 9-month-old infants. Psychological Science 15 (2004) 776-781
    • (2004) Psychological Science , vol.15 , pp. 776-781
    • McCrink, K.1    Wynn, K.2
  • 40
    • 2942566056 scopus 로고    scopus 로고
    • Analog numerical representations in rhesus monkeys: Evidence for parallel processing
    • Nieder A., and Miller E. Analog numerical representations in rhesus monkeys: Evidence for parallel processing. Journal of Cognitive Neuroscience 16 (2004) 889-901
    • (2004) Journal of Cognitive Neuroscience , vol.16 , pp. 889-901
    • Nieder, A.1    Miller, E.2
  • 41
    • 5644298608 scopus 로고    scopus 로고
    • Exact and approximate arithmetic in an Amazonian indigene group
    • Pica P., Lemer C., Izard V., and Dehaene S. Exact and approximate arithmetic in an Amazonian indigene group. Science 306 (2004) 499-503
    • (2004) Science , vol.306 , pp. 499-503
    • Pica, P.1    Lemer, C.2    Izard, V.3    Dehaene, S.4
  • 42
    • 84925909785 scopus 로고
    • A question of more or less
    • Pike R., and Olson D. A question of more or less. Child Development 48 (1977) 579-586
    • (1977) Child Development , vol.48 , pp. 579-586
    • Pike, R.1    Olson, D.2
  • 44
    • 26844523174 scopus 로고    scopus 로고
    • Expectations about numerical events in four lemur species (Eulemur fulvus, Eulemur mongoz, Lemur catta, and Varecia rubra)
    • Santos L., Barnes J., and Mahajan N. Expectations about numerical events in four lemur species (Eulemur fulvus, Eulemur mongoz, Lemur catta, and Varecia rubra). Animal Cognition 8 (2005) 253-262
    • (2005) Animal Cognition , vol.8 , pp. 253-262
    • Santos, L.1    Barnes, J.2    Mahajan, N.3
  • 45
    • 0001373056 scopus 로고
    • Do infants understand simple arithmetic? A replication of Wynn (1992)
    • Simon T., Hespos S., and Rochat P. Do infants understand simple arithmetic? A replication of Wynn (1992). Cognitive Development 10 (1995) 253-269
    • (1995) Cognitive Development , vol.10 , pp. 253-269
    • Simon, T.1    Hespos, S.2    Rochat, P.3
  • 46
    • 33645020789 scopus 로고    scopus 로고
    • Toddler subtraction with large sets: Further evidence for an analog-magnitude representation of number
    • Slaughter V., Kamppi D., and Paynter J. Toddler subtraction with large sets: Further evidence for an analog-magnitude representation of number. Developmental Science 9 (2006) 33-39
    • (2006) Developmental Science , vol.9 , pp. 33-39
    • Slaughter, V.1    Kamppi, D.2    Paynter, J.3
  • 48
    • 0026860461 scopus 로고
    • The early development of numerical reasoning
    • Starkey P. The early development of numerical reasoning. Cognition 43 (1992) 93-126
    • (1992) Cognition , vol.43 , pp. 93-126
    • Starkey, P.1
  • 49
    • 0027961585 scopus 로고
    • Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision
    • Trick L., and Pylyshyn Z. Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. Psychological Review 101 (1994) 80-102
    • (1994) Psychological Review , vol.101 , pp. 80-102
    • Trick, L.1    Pylyshyn, Z.2
  • 51
    • 33746839716 scopus 로고    scopus 로고
    • Six-month-old infants use analog magnitudes to represent duration
    • vanMarle K., and Wynn K. Six-month-old infants use analog magnitudes to represent duration. Developmental Science 9 (2006) F41-F49
    • (2006) Developmental Science , vol.9
    • vanMarle, K.1    Wynn, K.2
  • 52
    • 0036749214 scopus 로고    scopus 로고
    • Do young children grasp the inverse relationship between addition and subtraction? Evidence against early arithmetic
    • Vilette B. Do young children grasp the inverse relationship between addition and subtraction? Evidence against early arithmetic. Cognitive Development 17 (2002) 1365-1383
    • (2002) Cognitive Development , vol.17 , pp. 1365-1383
    • Vilette, B.1
  • 53
    • 0242618983 scopus 로고    scopus 로고
    • Nonverbal counting in humans: The psychophysics of number representation
    • Whalen J., Gallistel C., and Gelman R. Nonverbal counting in humans: The psychophysics of number representation. Psychological Science 10 (1999) 130-137
    • (1999) Psychological Science , vol.10 , pp. 130-137
    • Whalen, J.1    Gallistel, C.2    Gelman, R.3
  • 54
    • 0026733446 scopus 로고
    • Addition and subtraction by human infants
    • Wynn K. Addition and subtraction by human infants. Nature 358 (1992) 749-750
    • (1992) Nature , vol.358 , pp. 749-750
    • Wynn, K.1
  • 55
    • 0042669849 scopus 로고    scopus 로고
    • Numerosity discrimination in infants: Evidence for two systems of representations
    • Xu F. Numerosity discrimination in infants: Evidence for two systems of representations. Cognition 89 (2003) B15-B25
    • (2003) Cognition , vol.89
    • Xu, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.