메뉴 건너뛰기




Volumn 116, Issue 4, 2013, Pages 829-838

Numerical approximation abilities correlate with and predict informal but not formal mathematics abilities

Author keywords

Approximate number system (ANS); Formal math; Individual differences; Informal math; Longitudinal study; Nonsymbolic numerical comparison

Indexed keywords

AGE; APPROXIMATE NUMBER SYSTEM (ANS); APTITUDE; APTITUDE TEST; ARTICLE; CHILD; CHILD DEVELOPMENT; CONCEPT FORMATION; FEMALE; FORMAL MATH; HUMAN; INDIVIDUAL DIFFERENCES; INDIVIDUALITY; INFORMAL MATH; INTELLIGENCE; LONGITUDINAL STUDY; MALE; MATHEMATICS; NONSYMBOLIC NUMERICAL COMPARISON; PRESCHOOL CHILD;

EID: 84884559731     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2013.08.003     Document Type: Article
Times cited : (82)

References (37)
  • 4
    • 84865854497 scopus 로고    scopus 로고
    • Impact of high mathematics education on the number sense
    • Castronovo J., Göbel S.M. Impact of high mathematics education on the number sense. PLoS One 2012, 7:e33832.
    • (2012) PLoS One , vol.7
    • Castronovo, J.1    Göbel, S.M.2
  • 5
    • 67349187408 scopus 로고    scopus 로고
    • The predictive value of numerical magnitude comparison for individual differences in mathematics achievement
    • De Smedt B., Verschaffel L., Ghesquiere 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    Ghesquiere, P.3
  • 6
    • 0026900985 scopus 로고
    • Varieties of numerical abilities
    • Dehaene S. Varieties of numerical abilities. Cognition 1992, 44:1-42.
    • (1992) Cognition , vol.44 , pp. 1-42
    • Dehaene, S.1
  • 7
    • 84858674133 scopus 로고    scopus 로고
    • Can we predict mathematical learning disabilities from symbolic and non-symbolic comparison tasks in kindergarten? Findings from a longitudinal study
    • Desoete A., Ceulemans A., De Weerdt F., Pieters S. Can we predict mathematical learning disabilities from symbolic and non-symbolic comparison tasks in kindergarten? Findings from a longitudinal study. British Journal of Educational Psychology 2010, 82:64-81.
    • (2010) British Journal of Educational Psychology , vol.82 , pp. 64-81
    • Desoete, A.1    Ceulemans, A.2    De Weerdt, F.3    Pieters, S.4
  • 8
    • 84933672451 scopus 로고    scopus 로고
    • Malleability of the approximate number system: Effects of feedback and training
    • DeWind N.K., Brannon E.M. Malleability of the approximate number system: Effects of feedback and training. Frontiers in Human Neuroscience 2012, 6:68.
    • (2012) Frontiers in Human Neuroscience , vol.6 , pp. 68
    • DeWind, N.K.1    Brannon, E.M.2
  • 10
    • 84877665702 scopus 로고    scopus 로고
    • Links between the intuitive sense of number and formal mathematics ability
    • Feigenson L., Libertus M.E., Halberda J. Links between the intuitive sense of number and formal mathematics ability. Child Development Perspectives 2013, 7:74-79.
    • (2013) Child Development Perspectives , vol.7 , pp. 74-79
    • Feigenson, L.1    Libertus, M.E.2    Halberda, J.3
  • 11
    • 34249882763 scopus 로고    scopus 로고
    • Symbolic arithmetic knowledge without instruction
    • Gilmore C.K., McCarthy S.E., Spelke E.S. Symbolic arithmetic knowledge without instruction. Nature 2007, 447:589-591.
    • (2007) Nature , vol.447 , pp. 589-591
    • Gilmore, C.K.1    McCarthy, S.E.2    Spelke, E.S.3
  • 12
    • 77951667556 scopus 로고    scopus 로고
    • Non-symbolic arithmetic abilities and mathematics achievement in the first year of formal schooling
    • Gilmore C.K., McCarthy S.E., Spelke E.S. Non-symbolic arithmetic abilities and mathematics achievement in the first year of formal schooling. Cognition 2010, 115:394-406.
    • (2010) Cognition , vol.115 , pp. 394-406
    • Gilmore, C.K.1    McCarthy, S.E.2    Spelke, E.S.3
  • 14
    • 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, 44:1457-1465.
    • (2008) Developmental Psychology , vol.44 , pp. 1457-1465
    • Halberda, J.1    Feigenson, L.2
  • 15
    • 84884549715 scopus 로고    scopus 로고
    • Panamath: The psychophysical assessment of number-sense acuity
    • Unpublished manuscript, Johns Hopkins University
    • Halberda, J., & Ly, R. (2013). Panamath: The psychophysical assessment of number-sense acuity. Unpublished manuscript, Johns Hopkins University.
    • (2013)
    • Halberda, J.1    Ly, R.2
  • 17
    • 53349164253 scopus 로고    scopus 로고
    • Individual differences in non-verbal number acuity correlate with math achievement
    • Halberda J., Mazzocco 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.2    Feigenson, L.3
  • 18
    • 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
  • 19
    • 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
  • 21
    • 65649136538 scopus 로고    scopus 로고
    • Early math matters: Kindergarten number competence and later mathematics outcomes
    • Jordan N.C., Kaplan D., Ramineni C., Locuniak M.N. Early math matters: Kindergarten number competence and later mathematics outcomes. Developmental Psychology 2009, 45:850-867.
    • (2009) Developmental Psychology , vol.45 , pp. 850-867
    • Jordan, N.C.1    Kaplan, D.2    Ramineni, C.3    Locuniak, M.N.4
  • 22
    • 78049279783 scopus 로고    scopus 로고
    • Stable individual differences in number discrimination in infancy
    • Libertus M.E., Brannon E.M. Stable individual differences in number discrimination in infancy. Developmental Science 2010, 13:900-906.
    • (2010) Developmental Science , vol.13 , pp. 900-906
    • Libertus, M.E.1    Brannon, E.M.2
  • 23
    • 79960519121 scopus 로고    scopus 로고
    • Parallels in stimulus-driven oscillatory brain responses to numerosity changes in adults and seven-month-old infants
    • Libertus M.E., Brannon E.M., Woldorff M. Parallels in stimulus-driven oscillatory brain responses to numerosity changes in adults and seven-month-old infants. Developmental Neuropsychology 2011, 36:651-667.
    • (2011) Developmental Neuropsychology , vol.36 , pp. 651-667
    • Libertus, M.E.1    Brannon, E.M.2    Woldorff, M.3
  • 24
    • 80052848320 scopus 로고    scopus 로고
    • Preschool acuity of the approximate number system correlates with school math ability
    • Libertus M.E., 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.E.1    Feigenson, L.2    Halberda, J.3
  • 26
    • 84867658948 scopus 로고    scopus 로고
    • Intuitive sense of number correlates with math scores on college-entrance examination
    • Libertus M.E., Odic D., Halberda J. Intuitive sense of number correlates with math scores on college-entrance examination. Acta Psychologica 2012, 141:373-379.
    • (2012) Acta Psychologica , vol.141 , pp. 373-379
    • Libertus, M.E.1    Odic, D.2    Halberda, J.3
  • 28
    • 80053130031 scopus 로고    scopus 로고
    • Numerical ordering ability mediates the relation between number-sense and arithmetic competence
    • Lyons I.M., Beilock S.L. Numerical ordering ability mediates the relation between number-sense and arithmetic competence. Cognition 2011, 121:256-261.
    • (2011) Cognition , vol.121 , pp. 256-261
    • Lyons, I.M.1    Beilock, S.L.2
  • 29
    • 80052859017 scopus 로고    scopus 로고
    • Preschoolers' precision of the approximate number system predicts later school mathematics performance
    • Mazzocco M.M., Feigenson L., Halberda J. Preschoolers' precision of the approximate number system predicts later school mathematics performance. PLoS One 2011, 6:e23749.
    • (2011) PLoS One , vol.6
    • Mazzocco, M.M.1    Feigenson, L.2    Halberda, J.3
  • 32
    • 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
  • 33
    • 0036389721 scopus 로고    scopus 로고
    • Coordinating informal and formal aspects of mathematics: Student behavior and textbook messages
    • Raman M. Coordinating informal and formal aspects of mathematics: Student behavior and textbook messages. Journal of Mathematical Behavior 2002, 21:135-150.
    • (2002) Journal of Mathematical Behavior , vol.21 , pp. 135-150
    • Raman, M.1
  • 34
    • 33846244647 scopus 로고    scopus 로고
    • Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing
    • Rousselle L., Noel 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
    • Rousselle, L.1    Noel, M.P.2
  • 35
    • 84963461978 scopus 로고
    • Cognitive analysis of children's mathematics difficulties
    • Russell R.L., Ginsburg H.P. Cognitive analysis of children's mathematics difficulties. Cognition and Instruction 1984, 1:217-244.
    • (1984) Cognition and Instruction , vol.1 , pp. 217-244
    • Russell, R.L.1    Ginsburg, H.P.2
  • 37
    • 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.