메뉴 건너뛰기




Volumn 114, Issue 3, 2013, Pages 418-431

Approximate number sense, symbolic number processing, or number-space mappings: What underlies mathematics achievement?

Author keywords

Different math tests; Individual differences; Mathematics achievement; Number comparison; Number line estimation; Number processing development

Indexed keywords

ACHIEVEMENT; ARTICLE; BELGIUM; CHILD; COGNITION; EDUCATION; FEMALE; HUMAN; MALE; MATHEMATICS; MENTAL FUNCTION; METHODOLOGY; PERCEPTIVE DISCRIMINATION; PHYSIOLOGY; STATISTICS; SYMBOLISM;

EID: 84873310650     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2012.10.012     Document Type: Article
Times cited : (223)

References (51)
  • 1
    • 84857066616 scopus 로고    scopus 로고
    • Evidence for two numerical systems that are similar in humans and guppies
    • Agrillo C., Piffer L., Bisazza A., Butterworth B. Evidence for two numerical systems that are similar in humans and guppies. PLoS One 2012, 7:1923-2012.
    • (2012) PLoS One , vol.7 , pp. 1923-2012
    • Agrillo, C.1    Piffer, L.2    Bisazza, A.3    Butterworth, B.4
  • 2
    • 54849427698 scopus 로고    scopus 로고
    • Nonsymbolic, approximate arithmetic in children: Abstract addition prior to instruction
    • Barth H., Beckmann L., Spelke E. Nonsymbolic, approximate arithmetic in children: Abstract addition prior to instruction. Developmental Psychology 2008, 44:1466-1477.
    • (2008) Developmental Psychology , vol.44 , pp. 1466-1477
    • Barth, H.1    Beckmann, L.2    Spelke, E.3
  • 4
    • 31644448488 scopus 로고    scopus 로고
    • Developmental and individual differences in pure numerical estimation
    • Booth J.L., Siegler R.S. Developmental and individual differences in pure numerical estimation. Developmental Psychology 2006, 41:189-201.
    • (2006) Developmental Psychology , vol.41 , pp. 189-201
    • Booth, J.L.1    Siegler, R.S.2
  • 5
    • 47249098350 scopus 로고    scopus 로고
    • Numerical magnitude representations influence arithmetic learning
    • Booth J.L., Siegler R.S. Numerical magnitude representations influence arithmetic learning. Child Development 2008, 79:1016-1031.
    • (2008) Child Development , vol.79 , pp. 1016-1031
    • Booth, J.L.1    Siegler, R.S.2
  • 7
    • 38649122717 scopus 로고    scopus 로고
    • Are numbers special? An overview of chronometric, neuroimaging, developmental, and comparative studies of magnitude representation
    • Cohen Kadosh R., Lammertyn J., Izard V. Are numbers special? An overview of chronometric, neuroimaging, developmental, and comparative studies of magnitude representation. Progress in Neurobiology 2008, 84:132-147.
    • (2008) Progress in Neurobiology , vol.84 , pp. 132-147
    • Cohen Kadosh, R.1    Lammertyn, J.2    Izard, V.3
  • 8
    • 66049086557 scopus 로고    scopus 로고
    • Control over non-numerical parameters in numerosity experiments
    • Unpublished manuscript. Available from .
    • Dehaene, S., Izard, V., & Piazza, M. (2005). Control over non-numerical parameters in numerosity experiments. Unpublished manuscript. Available from http://www.unicog.org/docs/DocumentationDotsGeneration.doc.
    • (2005)
    • Dehaene, S.1    Izard, V.2    Piazza, M.3
  • 9
    • 45849104230 scopus 로고    scopus 로고
    • Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures
    • Dehaene S., Izard V., Spelke E., Pica P. Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science 2008, 320:1217-1220.
    • (2008) Science , vol.320 , pp. 1217-1220
    • Dehaene, S.1    Izard, V.2    Spelke, E.3    Pica, P.4
  • 11
    • 78649966321 scopus 로고    scopus 로고
    • Defective number module or impaired access? Numerical magnitude processing in first graders with mathematical difficulties
    • De Smedt B., Gilmore C.K. Defective number module or impaired access? Numerical magnitude processing in first graders with mathematical difficulties. Journal of Experimental Child Psychology 2011, 108:278-292.
    • (2011) Journal of Experimental Child Psychology , vol.108 , pp. 278-292
    • De Smedt, B.1    Gilmore, C.K.2
  • 12
    • 67349187408 scopus 로고    scopus 로고
    • The predictive value of numerical magnitude comparison for individual differences in mathematics achievement
    • De Smedt B., Verschaffel L., Ghesquière P. The predictive value of numerical magnitude comparison for individual differences in mathematics achievement. Journal of Experimental Child Psychology 2009, 103:469-479.
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 469-479
    • De Smedt, B.1    Verschaffel, L.2    Ghesquière, P.3
  • 13
    • 0006672898 scopus 로고
    • Swets & Zeitlinger, Lisse, The Netherlands
    • De Vos T. TTR: Tempotest rekenen 1992, Swets & Zeitlinger, Lisse, The Netherlands.
    • (1992) TTR: Tempotest rekenen
    • De Vos, T.1
  • 17
    • 0027669890 scopus 로고
    • Mathematical disabilities: Cognitive, neuropsychological, and genetic components
    • Geary D.C. Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin 1993, 114:345-362.
    • (1993) Psychological Bulletin , vol.114 , pp. 345-362
    • Geary, D.C.1
  • 18
    • 84874744100 scopus 로고    scopus 로고
    • The interplay between nonsymbolic number and its continuous visual properties
    • Gebuis T., Reynvoet B. The interplay between nonsymbolic number and its continuous visual properties. Journal of Experimental Psychology: General 2012, 141:642-648.
    • (2012) Journal of Experimental Psychology: General , vol.141 , pp. 642-648
    • Gebuis, T.1    Reynvoet, B.2
  • 19
    • 84861215295 scopus 로고    scopus 로고
    • The role of visual information in numerosity estimation
    • Gebuis T., Reynvoet B. The role of visual information in numerosity estimation. PLoS One 2012, 7:e37426.
    • (2012) PLoS One , vol.7
    • Gebuis, T.1    Reynvoet, B.2
  • 21
    • 57649129424 scopus 로고    scopus 로고
    • Set representations required for the acquisition of the " natural number" concept
    • Halberda J., Feigenson L. Set representations required for the acquisition of the " natural number" concept. Behavioral and Brain Sciences 2008, 31:655-656.
    • (2008) Behavioral and Brain Sciences , vol.31 , pp. 655-656
    • Halberda, J.1    Feigenson, L.2
  • 22
    • 53349164253 scopus 로고    scopus 로고
    • Individual differences in non-verbal number acuity correlate with math achievement
    • Halberda J., Mazzocco M.M.M., Feigenson L. Individual differences in non-verbal number acuity correlate with math achievement. Nature 2008, 455:665-668.
    • (2008) Nature , vol.455 , pp. 665-668
    • Halberda, J.1    Mazzocco, M.M.M.2    Feigenson, L.3
  • 23
    • 65749086827 scopus 로고    scopus 로고
    • Mapping numerical magnitudes onto symbols: The numerical distance effect and individual differences in children's mathematics achievement
    • Holloway I.D., Ansari D. Mapping numerical magnitudes onto symbols: The numerical distance effect and individual differences in children's mathematics achievement. Journal of Experimental Child Psychology 2009, 103:17-29.
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 17-29
    • Holloway, I.D.1    Ansari, D.2
  • 24
    • 81355123378 scopus 로고    scopus 로고
    • Non-verbal number acuity correlates with symbolic mathematics achievement: But only in children
    • Inglis M., Attridge N., Batchelor S., Gilmore C. Non-verbal number acuity correlates with symbolic mathematics achievement: But only in children. Psychonomic Bulletin & Review 2011, 18:1222-1229.
    • (2011) Psychonomic Bulletin & Review , vol.18 , pp. 1222-1229
    • Inglis, M.1    Attridge, N.2    Batchelor, S.3    Gilmore, C.4
  • 25
    • 49549088961 scopus 로고    scopus 로고
    • Core information processing deficits in developmental dyscalculia and low numeracy
    • Iuculano T., Tang J., Hall C.W.B., Butterworth B. Core information processing deficits in developmental dyscalculia and low numeracy. Developmental Science 2008, 11:669-680.
    • (2008) Developmental Science , vol.11 , pp. 669-680
    • Iuculano, T.1    Tang, J.2    Hall, C.W.B.3    Butterworth, B.4
  • 27
    • 67349119460 scopus 로고    scopus 로고
    • Typical and atypical development of basic numerical skills in elementary school
    • Landerl K., Kölle C. Typical and atypical development of basic numerical skills in elementary school. Journal of Experimental Child Psychology 2009, 103:546-565.
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 546-565
    • Landerl, K.1    Kölle, C.2
  • 28
    • 80052848320 scopus 로고    scopus 로고
    • Preschool acuity of the approximate number system correlates with school math ability
    • Libertus M., Feigenson L., Halberda J. Preschool acuity of the approximate number system correlates with school math ability. Developmental Science 2011, 14:1292-1300.
    • (2011) Developmental Science , vol.14 , pp. 1292-1300
    • Libertus, M.1    Feigenson, L.2    Halberda, J.3
  • 30
    • 84872708971 scopus 로고    scopus 로고
    • Symbolic estrangement: Evidence against a strong association between numerical symbols and the quantities they represent
    • Lyons I.M., Ansari D., Beilock S.L. Symbolic estrangement: Evidence against a strong association between numerical symbols and the quantities they represent. Journal of Experimental Psychology: General 2012, 141:635-641.
    • (2012) Journal of Experimental Psychology: General , vol.141 , pp. 635-641
    • Lyons, I.M.1    Ansari, D.2    Beilock, S.L.3
  • 31
    • 80052859017 scopus 로고    scopus 로고
    • Preschoolers' precision of the approximate number system predicts late school mathematics performance
    • Mazzocco M.M.M., Feigenson L., Halberda J. Preschoolers' precision of the approximate number system predicts late school mathematics performance. PLoS One 2011, 6:e23749.
    • (2011) PLoS One , vol.6
    • Mazzocco, M.M.M.1    Feigenson, L.2    Halberda, J.3
  • 32
    • 0014221599 scopus 로고
    • Time required for judgments of numerical inequality
    • Moyer R.S., Landauer T.K. Time required for judgments of numerical inequality. Nature 1967, 215:1519-1520.
    • (1967) Nature , vol.215 , pp. 1519-1520
    • Moyer, R.S.1    Landauer, T.K.2
  • 33
    • 67349157984 scopus 로고    scopus 로고
    • Children's mapping between symbolic and non-symbolic representations of number
    • Mundy E., Gilmore C.K. Children's mapping between symbolic and non-symbolic representations of number. Journal of Experimental Child Psychology 2009, 103:490-502.
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 490-502
    • Mundy, E.1    Gilmore, C.K.2
  • 34
    • 84879585706 scopus 로고    scopus 로고
    • Developmental changes in the profiles of dyscalculia: An explanation based on a double exact-and-approximate number representation model
    • Noël M.-P., Rouselle L. Developmental changes in the profiles of dyscalculia: An explanation based on a double exact-and-approximate number representation model. Frontiers in Human Neuroscience 2011, 5:165.
    • (2011) Frontiers in Human Neuroscience , vol.5 , pp. 165
    • Noël, M.-P.1    Rouselle, L.2
  • 35
    • 3242892694 scopus 로고    scopus 로고
    • Working memory and access to numerical information in children with disability in mathematics
    • Passolunghi M.C., Siegel L.S. Working memory and access to numerical information in children with disability in mathematics. Journal of Experimental Child Psychology 2004, 88:348-367.
    • (2004) Journal of Experimental Child Psychology , vol.88 , pp. 348-367
    • Passolunghi, M.C.1    Siegel, L.S.2
  • 36
    • 78649449902 scopus 로고    scopus 로고
    • Neurocognitive start-up tools for symbolic number representations
    • Piazza M. Neurocognitive start-up tools for symbolic number representations. Trends in Cognitive Sciences 2010, 14:542-551.
    • (2010) Trends in Cognitive Sciences , vol.14 , pp. 542-551
    • Piazza, M.1
  • 37
    • 77952888628 scopus 로고    scopus 로고
    • Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia
    • Piazza M., Facoetti A., Trussardi A., Berteletti I., Conte S., Lucangeli D., et al. Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. Cognition 2010, 116:33-41.
    • (2010) Cognition , vol.116 , pp. 33-41
    • Piazza, M.1    Facoetti, A.2    Trussardi, A.3    Berteletti, I.4    Conte, S.5    Lucangeli, D.6
  • 38
    • 7044286249 scopus 로고    scopus 로고
    • Tuning curves for approximate numerosity in the human intraparietal sulcus
    • Piazza M., Izard V., Pinel P., Le Bihan D., Dehaene S. Tuning curves for approximate numerosity in the human intraparietal sulcus. Neuron 2004, 44:547-555.
    • (2004) Neuron , vol.44 , pp. 547-555
    • Piazza, M.1    Izard, V.2    Pinel, P.3    Le Bihan, D.4    Dehaene, S.5
  • 39
    • 84858732174 scopus 로고    scopus 로고
    • Nonsymbolic numerical magnitude comparison: Reliability and validity of different task variants and outcome measures, and their relationship to arithmetic achievement in adults
    • Price G.R., Palmer D., Battista C., Ansari D. Nonsymbolic numerical magnitude comparison: Reliability and validity of different task variants and outcome measures, and their relationship to arithmetic achievement in adults. Acta Psychologica 2012, 140:50-57.
    • (2012) Acta Psychologica , vol.140 , pp. 50-57
    • Price, G.R.1    Palmer, D.2    Battista, C.3    Ansari, D.4
  • 40
    • 75849135876 scopus 로고    scopus 로고
    • Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches
    • Raghubar K., Barnes F., Hecht S. Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences 2010, 20:110-122.
    • (2010) Learning and Individual Differences , vol.20 , pp. 110-122
    • Raghubar, K.1    Barnes, F.2    Hecht, S.3
  • 41
  • 42
    • 33846244647 scopus 로고    scopus 로고
    • Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude processing
    • Rouselle L., Noël M.-P. Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude processing. Cognition 2007, 102:361-395.
    • (2007) Cognition , vol.102 , pp. 361-395
    • Rouselle, L.1    Noël, M.-P.2
  • 44
    • 84864555958 scopus 로고    scopus 로고
    • Predictors for mathematics achievement? Evidence from a longitudinal study
    • Sasanguie D., Van Den Bussche E., Reynvoet B. Predictors for mathematics achievement? Evidence from a longitudinal study. Mind, Brain, and Education 2012, 6:119-128.
    • (2012) Mind, Brain, and Education , vol.6 , pp. 119-128
    • Sasanguie, D.1    Van Den Bussche, E.2    Reynvoet, B.3
  • 45
    • 65249102209 scopus 로고    scopus 로고
    • Mental number line, number line estimation, and mathematical achievement: Their interrelations in Grades 5 and 6
    • Schneider M., Grabner R.H., Paetsch J. Mental number line, number line estimation, and mathematical achievement: Their interrelations in Grades 5 and 6. Journal of Educational Psychology 2009, 101:359-372.
    • (2009) Journal of Educational Psychology , vol.101 , pp. 359-372
    • Schneider, M.1    Grabner, R.H.2    Paetsch, J.3
  • 46
    • 3142682172 scopus 로고    scopus 로고
    • Development of numerical estimation in young children
    • Siegler R.S., Booth J.L. Development of numerical estimation in young children. Child Development 2004, 75:428-444.
    • (2004) Child Development , vol.75 , pp. 428-444
    • Siegler, R.S.1    Booth, J.L.2
  • 47
    • 0042779722 scopus 로고    scopus 로고
    • The development of numerical estimation: Evidence for multiple representations of numerical quantity
    • Siegler R.S., Opfer J.E. The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science 2003, 14:237-243.
    • (2003) Psychological Science , vol.14 , pp. 237-243
    • Siegler, R.S.1    Opfer, J.E.2
  • 48
    • 77949450731 scopus 로고    scopus 로고
    • Relationships between magnitude representation, counting, and memory in 4- to 7-year-old children: A developmental study
    • Soltész F., Szücs D., Szücs L. Relationships between magnitude representation, counting, and memory in 4- to 7-year-old children: A developmental study. Behavioural and Brain Functions 2010, 6:13.
    • (2010) Behavioural and Brain Functions , vol.6 , pp. 13
    • Soltész, F.1    Szücs, D.2    Szücs, L.3
  • 49
    • 0027961585 scopus 로고
    • Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision
    • Trick L.M., Pylyshyn Z.W. Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. Psychological Review 1994, 101:80-102.
    • (1994) Psychological Review , vol.101 , pp. 80-102
    • Trick, L.M.1    Pylyshyn, Z.W.2
  • 51
    • 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:B1-B11.
    • (2000) Cognition , vol.74
    • Xu, F.1    Spelke, E.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.