메뉴 건너뛰기




Volumn 15, Issue 2, 2014, Pages 325-344

Explaining Variability: Numerical Representations in 4- to 8-Year-Old Children

Author keywords

[No Author keywords available]

Indexed keywords

AGE; APTITUDE TEST; ARITHMETIC; ARTICLE; CHILD; COGNITIVE DEVELOPMENT; COUNTING; DEPTH PERCEPTION; EXECUTIVE FUNCTION; FEMALE; HUMAN; INHIBITION (PSYCHOLOGY); LEARNING; MALE; MENTAL TASK; NUMBER COMPARISON; NUMBER TO POSITION TEST; RECOGNITION; SKILL; TASK PERFORMANCE;

EID: 84899987720     PISSN: 15248372     EISSN: 15327647     Source Type: Journal    
DOI: 10.1080/15248372.2012.742900     Document Type: Article
Times cited : (26)

References (50)
  • 1
    • 42249105174 scopus 로고    scopus 로고
    • London, UK, Pearson Assessment, (Translated and reproduced by permission of Pearson Assessment)
    • Alloway, T. P. (2007). Automated Working Memory Assessment. London, UK: Pearson Assessment. (Translated and reproduced by permission of Pearson Assessment)
    • (2007) Automated Working Memory Assessment
    • Alloway, T.P.1
  • 2
    • 55849150186 scopus 로고    scopus 로고
    • Evaluating the validity of the Automated Working Memory Assessment
    • Alloway, T. P., Gathercole, S. E., Kirkwood, H., & Elliott, J. (2008). Evaluating the validity of the Automated Working Memory Assessment. Educational Psychology, 28, 725 - 734. doi: 10.1080/01443410802243828
    • (2008) Educational Psychology , vol.28 , pp. 725-734
    • Alloway, T.P.1    Gathercole, S.E.2    Kirkwood, H.3    Elliott, J.4
  • 3
    • 78650516398 scopus 로고    scopus 로고
    • The relationship between working memory, IQ, and mathematical skills in children
    • Alloway, T. P., & Passolunghi, M. C. (2011). The relationship between working memory, IQ, and mathematical skills in children. Learning and Individual Differences, 21, 133-137. doi: 10.1016/j.lindif.2010.09.013
    • (2011) Learning and Individual Differences , vol.21 , pp. 133-137
    • Alloway, T.P.1    Passolunghi, M.C.2
  • 4
    • 0030545597 scopus 로고    scopus 로고
    • Exploring the central executive
    • Baddeley, A. (1996). Exploring the central executive. The Quarterly Journal of Experimental Psychology, 49A, 5 - 28.
    • (1996) 49A , pp. 5-28
    • Baddeley, A.1
  • 5
    • 0039206837 scopus 로고
    • The apparent magnitude of number scaled by random production
    • Banks, W. P., & Hill, D. K. (1974). The apparent magnitude of number scaled by random production. Journal of Experimental Psychology, 102, 353 - 376.
    • (1974) Journal of Experimental Psychology , vol.102 , pp. 353-376
    • Banks, W.P.1    Hill, D.K.2
  • 6
    • 31644448488 scopus 로고    scopus 로고
    • Developmental and individual differences in pure numerical estimation
    • Booth, J. L., & Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 41, 189 - 201. doi: 10.1037/0012-1649.41.6.189
    • (2006) Developmental Psychology , vol.41 , pp. 189-201
    • Booth, J.L.1    Siegler, R.S.2
  • 7
    • 47249098350 scopus 로고    scopus 로고
    • Numerical magnitude representations influence arithmetic learning
    • Booth, J. L., & Siegler, R. S. (2008). Numerical magnitude representations influence arithmetic learning. Child Development, 79, 1016 - 1031. doi: 10.1111/j.1467-8624.2008.01173.x
    • (2008) Child Development , vol.79 , pp. 1016-1031
    • Booth, J.L.1    Siegler, R.S.2
  • 8
    • 2342426503 scopus 로고    scopus 로고
    • A comparison of performance on the Towers of London and Hanoi in young children
    • Bull, R., Espy, K. A., & Senn, T. E. (2004). A comparison of performance on the Towers of London and Hanoi in young children. Journal of Child Psychology and Psychiatry, 45, 743 - 754. doi: 10.1111/j.1469-7610.2004.00268.x
    • (2004) Journal of Child Psychology and Psychiatry , vol.45 , pp. 743-754
    • Bull, R.1    Espy, K.A.2    Senn, T.E.3
  • 9
    • 79959315137 scopus 로고    scopus 로고
    • Using confirmatory factor analysis to understand executive control in preschool children: Sources of variation in emergent mathematic achievement
    • Bull, R., Espy, K. A., Wiebe, S. A., Sheffield, T. D., & Nelson, J. M. (2011). Using confirmatory factor analysis to understand executive control in preschool children: Sources of variation in emergent mathematic achievement. Developmental Science, 14, 679 - 692. doi: 10.1111/j.1467-7687.2010.01012.x
    • (2011) Developmental Science , vol.14 , pp. 679-692
    • Bull, R.1    Espy, K.A.2    Wiebe, S.A.3    Sheffield, T.D.4    Nelson, J.M.5
  • 10
    • 0035188245 scopus 로고    scopus 로고
    • Executive function as a predictor of children's mathematics ability: Inhibition, switching, and working memory
    • Bull, R., & Scerif, G. (2001). Executive function as a predictor of children's mathematics ability: Inhibition, switching, and working memory. Developmental Neuropsychology, 19, 273 - 293.
    • (2001) Developmental Neuropsychology , vol.19 , pp. 273-293
    • Bull, R.1    Scerif, G.2
  • 11
    • 25444435120 scopus 로고    scopus 로고
    • Developmentally sensitive measures of executive function in preschool children
    • Carlson, S. (2005). Developmentally sensitive measures of executive function in preschool children. Developmental Neuropsychology, 28, 595 - 616. doi: 10.1207/s15326942dn2802_3
    • (2005) Developmental Neuropsychology , vol.28 , pp. 595-616
    • Carlson, S.1
  • 12
    • 0041057481 scopus 로고    scopus 로고
    • The role of central conceptual structures in the development of children's thought
    • (1-2, Serial No. 246)
    • Case, R., & Okamoto, Y. (1996). The role of central conceptual structures in the development of children's thought. Monographs of the Society for Research in Child Development, 61 (1-2, Serial No. 246).
    • (1996) Monographs of the Society for Research in Child Development , vol.61
    • Case, R.1    Okamoto, Y.2
  • 14
    • 0035256116 scopus 로고    scopus 로고
    • Précis of the number sense
    • Dehaene, S. (2001). Précis of the number sense. Mind & Language, 16, 16 - 36. doi: 10.1111/1468-0017.00154
    • (2001) Mind & Language , vol.16 , pp. 16-36
    • Dehaene, S.1
  • 15
    • 0037384717 scopus 로고    scopus 로고
    • The neural basis of the Weber-Fechner law: A logarithmic mental number line
    • Dehaene, S. (2003). The neural basis of the Weber-Fechner law: A logarithmic mental number line. Trends in Cognitive Sciences, 7, 145 - 147. doi: 10.1016/S1364-6613(03)00055-X
    • (2003) Trends in Cognitive Sciences , vol.7 , pp. 145-147
    • Dehaene, S.1
  • 17
    • 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. (2008). Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science, 317, 1217 - 1220. doi: 10.1126/science.1156540
    • (2008) Science , vol.317 , pp. 1217-1220
    • Dehaene, S.1    Izard, V.2    Spelke, E.3    Pica, P.4
  • 18
    • 67349187408 scopus 로고    scopus 로고
    • The predictive value of numerical magnitude comparison for individual differences in mathematical achievement
    • De Smedt, B., Verschaffel, L., & Ghesquière, P. (2009). The predictive value of numerical magnitude comparison for individual differences in mathematical achievement. Journal of Experimental Child Psychology, 103, 469 - 479. doi: 10.1016/j.jecp.2009.01.010
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 469-479
    • De Smedt, B.1    Verschaffel, L.2    Ghesquière, P.3
  • 19
    • 36048981511 scopus 로고    scopus 로고
    • The relationship between the shape of the mental number line and familiarity with numbers in 5- to 9-year old children: Evidence for a segmented linear model
    • Ebersbach, M., Luwel, K., Frick, A., Onghena, P., & Verschaffel, L. (2008). The relationship between the shape of the mental number line and familiarity with numbers in 5- to 9-year old children: Evidence for a segmented linear model. Journal of Experimental Child Psychology, 99, 1 - 17. doi: 10.1016/j.jecp.2007.08.006
    • (2008) Journal of Experimental Child Psychology , vol.99 , pp. 1-17
    • Ebersbach, M.1    Luwel, K.2    Frick, A.3    Onghena, P.4    Verschaffel, L.5
  • 20
    • 3943075808 scopus 로고    scopus 로고
    • The contribution of executive functions to emergent mathematical skills in preschool children
    • Espy, K. A., McDiarmid, M. M., Cwik, M. F., Stalets, M. M., Hamby, A., & Senn, T. E. (2004). The contribution of executive functions to emergent mathematical skills in preschool children. Developmental Neuropsychology, 26, 465 - 486. doi: 10.1207/s15326942dn2601_6
    • (2004) Developmental Neuropsychology , vol.26 , pp. 465-486
    • Espy, K.A.1    McDiarmid, M.M.2    Cwik, M.F.3    Stalets, M.M.4    Hamby, A.5    Senn, T.E.6
  • 21
    • 0038022572 scopus 로고    scopus 로고
    • Perceiving numbers causes spatial shifts of attention
    • Fisher, M. H., Castel, A. D., Dodd, M. D., & Pratt, J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6, 555 - 556. doi: 10.1038/nn1066
    • (2003) Nature Neuroscience , vol.6 , pp. 555-556
    • Fisher, M.H.1    Castel, A.D.2    Dodd, M.D.3    Pratt, J.4
  • 22
    • 38549141322 scopus 로고    scopus 로고
    • Executive function in preschoolers: A review using an integrative framework
    • Garon, N., Bryson, S. E., & Smith, I. M. (2008). Executive function in preschoolers: A review using an integrative framework. Psychological Bulletin, 134, 31 - 60. doi: 10.1037/0033-2909.134.1.31
    • (2008) Psychological Bulletin , vol.134 , pp. 31-60
    • Garon, N.1    Bryson, S.E.2    Smith, I.M.3
  • 23
    • 45149098722 scopus 로고    scopus 로고
    • Development in number line representations in children with mathematical learning disability
    • Geary, D. C., Hoard, M. K., Nugent, L., & Byrd-Craven, J. (2008). Development in number line representations in children with mathematical learning disability. Developmental Neuropsychology, 33, 277 - 299. doi: 10.1080/87565640801982361
    • (2008) Developmental Neuropsychology , vol.33 , pp. 277-299
    • Geary, D.C.1    Hoard, M.K.2    Nugent, L.3    Byrd-Craven, J.4
  • 26
    • 49549104792 scopus 로고    scopus 로고
    • Domain-specific and domain-general changes in children's development of number comparison
    • Holloway, I. D., & Ansari, D. (2008). Domain-specific and domain-general changes in children's development of number comparison. Developmental Science, 11, 644 - 649. doi: 10.1111/j.1467-7687.2008.00712.x
    • (2008) Developmental Science , vol.11 , pp. 644-649
    • Holloway, I.D.1    Ansari, D.2
  • 27
    • 79958828666 scopus 로고    scopus 로고
    • Changes and challenges in 20 years of research into the development of executive functions
    • Hughes, C. (2011). Changes and challenges in 20 years of research into the development of executive functions. Infant and Child Development, 20, 251 - 271. doi: 10.1002/icd.736
    • (2011) Infant and Child Development , vol.20 , pp. 251-271
    • Hughes, C.1
  • 28
    • 77951054067 scopus 로고    scopus 로고
    • Tracking executive function across the transition to school: A latent variable approach
    • Hughes, C., Ensor, R., Wilson, A., & Graham, A. (2010). Tracking executive function across the transition to school: A latent variable approach. Developmental Neuropsychology, 35, 20-36. doi: 10.1080/87565640903325691
    • (2010) Developmental Neuropsychology , vol.35 , pp. 20-36
    • Hughes, C.1    Ensor, R.2    Wilson, A.3    Graham, A.4
  • 30
    • 77952713205 scopus 로고    scopus 로고
    • Executieve functies en de ontwikkeling van (voorbereidende) rekenvaardigheid [Executive functions and the development of (preparatory) math skills]
    • Kroesbergen, E. H., Van der Ven, S. H. G., Kolkman, M. E., Van Luit, J. E. H., & Leseman, P. P. M. (2009). Executieve functies en de ontwikkeling van (voorbereidende) rekenvaardigheid [Executive functions and the development of (preparatory) math skills]. Pedagogische Studiën, 86, 334 - 349.
    • (2009) Pedagogische Studiën , vol.86 , pp. 334-349
    • Kroesbergen, E.H.1    Van der Ven, S.H.G.2    Kolkman, M.E.3    Van Luit, J.E.H.4    Leseman, P.P.M.5
  • 33
    • 35948988958 scopus 로고    scopus 로고
    • Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison
    • Laski, E. V., & Siegler, R. S. (2007). Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison. Child Development, 78, 1723 - 1743. doi: 10.1111/j.1467-8624.2007.01087.x
    • (2007) Child Development , vol.78 , pp. 1723-1743
    • Laski, E.V.1    Siegler, R.S.2
  • 34
    • 0034242442 scopus 로고    scopus 로고
    • The unity and diversity of executive functions and their contributions to complex 'frontal lobe' tasks: A latent variable analysis
    • Miyake, A., Friedman, N. P., Emerson, M. J., Witzki, A. H., Howerter, A., & Wager, T. D. (2000). The unity and diversity of executive functions and their contributions to complex 'frontal lobe' tasks: A latent variable analysis. Cognitive Psychology, 41, 49 - 100. doi: 10.1006/cogp.1999.0734
    • (2000) Cognitive Psychology , vol.41 , pp. 49-100
    • Miyake, A.1    Friedman, N.P.2    Emerson, M.J.3    Witzki, A.H.4    Howerter, A.5    Wager, T.D.6
  • 35
  • 36
    • 0037031720 scopus 로고    scopus 로고
    • Representation of the quantity of visual items in the primate prefrontal cortex
    • Nieder, A., Freedman, D. J., & Miller, E. K. (2002). Representation of the quantity of visual items in the primate prefrontal cortex. Science, 197, 1708 - 1711. doi: 10.1126/science.1072493
    • (2002) Science , vol.197 , pp. 1708-1711
    • Nieder, A.1    Freedman, D.J.2    Miller, E.K.3
  • 37
    • 0037426978 scopus 로고    scopus 로고
    • Coding of cognitive magnitude: Compressed scaling of numerical information in the primate prefrontal cortex
    • Nieder, A., & Miller, E. K. (2003). Coding of cognitive magnitude: Compressed scaling of numerical information in the primate prefrontal cortex. Neuron, 37, 149 - 157. doi: 10.1016/S0896-6273(02)01144-3
    • (2003) Neuron , vol.37 , pp. 149-157
    • Nieder, A.1    Miller, E.K.2
  • 39
    • 45149111617 scopus 로고    scopus 로고
    • Cognitive abilities as precursors of the early acquisition of mathematical skills during first through second grades
    • Passolunghi, M. C., Mammarella, I. C., & Altoè, G. (2008). Cognitive abilities as precursors of the early acquisition of mathematical skills during first through second grades. Developmental Neuropsychology, 33, 229 - 250.
    • (2008) Developmental Neuropsychology , vol.33 , pp. 229-250
    • Passolunghi, M.C.1    Mammarella, I.C.2    Altoè, G.3
  • 40
    • 85050832704 scopus 로고    scopus 로고
    • Some principles involved in the acquisition of number words
    • Pollmann, T. (2003). Some principles involved in the acquisition of number words. Language Acquisition, 11, 1 - 31. doi: 10.1207/S15327817LA1101_1
    • (2003) Language Acquisition , vol.11 , pp. 1-31
    • Pollmann, T.1
  • 41
    • 3142682172 scopus 로고    scopus 로고
    • Development of numerical estimation in young children
    • Siegler, R. S., & Booth, J. L. (2004). Development of numerical estimation in young children. Child Development, 75, 428 - 444. doi: 10.1111/j.1467-8624.2004.00684.x
    • (2004) Child Development , vol.75 , pp. 428-444
    • Siegler, R.S.1    Booth, J.L.2
  • 42
    • 0042779722 scopus 로고    scopus 로고
    • The development of numerical estimation: Evidence for multiple representations of numerical quantity
    • Siegler, R. S., & Opfer, J. E. (2003). The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science, 14, 237 - 243. doi: 10.1111/1467-9280.02438
    • (2003) Psychological Science , vol.14 , pp. 237-243
    • Siegler, R.S.1    Opfer, J.E.2
  • 44
    • 84858648202 scopus 로고    scopus 로고
    • The development of executive functions and early mathematical skills: A dynamic relationship
    • Van der Ven, S. H. G., Kroesbergen, E. H., Boom, J., & Leseman, P. P. M. (2012). The development of executive functions and early mathematical skills: A dynamic relationship. British Journal of Educational Psychology, 82, 100 - 119. doi: 10.1111/j.2044-8279.2011.02035.x
    • (2012) British Journal of Educational Psychology , vol.82 , pp. 100-119
    • Van der Ven, S.H.G.1    Kroesbergen, E.H.2    Boom, J.3    Leseman, P.P.M.4
  • 45
    • 55849133373 scopus 로고    scopus 로고
    • When the mental number line involves a delay: The writing of numbers by children of different arithmetical abilities
    • Van Loosbroek, E., Dirkx, G. S. M. A., Hulstijn, W., & Janssen, F. (2009). When the mental number line involves a delay: The writing of numbers by children of different arithmetical abilities. Journal of Experimental Child Psychology, 102, 26 - 39. doi: 10.1016/j.jecp.2008.07.003
    • (2009) Journal of Experimental Child Psychology , vol.102 , pp. 26-39
    • Van Loosbroek, E.1    Dirkx, G.S.M.A.2    Hulstijn, W.3    Janssen, F.4
  • 46
    • 10144251768 scopus 로고    scopus 로고
    • Representation of number in animals and humans: A neural model
    • Verguts, T., & Fias, W. (2004). Representation of number in animals and humans: A neural model. Journal of Cognitive Neuroscience, 16, 1493 - 1504. doi: 10.1162/0898929042568497
    • (2004) Journal of Cognitive Neuroscience , vol.16 , pp. 1493-1504
    • Verguts, T.1    Fias, W.2
  • 47
    • 0242618983 scopus 로고    scopus 로고
    • Nonverbal counting in humans: The psychophysics of number representation
    • Whalen, J., Gallistel, C. R., & Gelman, R. (1999). Nonverbal counting in humans: The psychophysics of number representation. Psychological Science, 10, 130 - 137. doi: 10.1111/1467-9280.00120
    • (1999) Psychological Science , vol.10 , pp. 130-137
    • Whalen, J.1    Gallistel, C.R.2    Gelman, R.3
  • 48
    • 42049094398 scopus 로고    scopus 로고
    • Using confirmatory factor analysis to understand executive control in preschool children: I. Latent structures
    • Wiebe, S. A., Espy, K. A., & Charak, D. (2008). Using confirmatory factor analysis to understand executive control in preschool children: I. Latent structures. Developmental Psychology, 44, 575 - 587. doi: 10.1037/0012-1649.44.2.575
    • (2008) Developmental Psychology , vol.44 , pp. 575-587
    • Wiebe, S.A.1    Espy, K.A.2    Charak, D.3
  • 50
    • 34250669214 scopus 로고    scopus 로고
    • The Dimensional Change Card Sort (DCCS): A method of assessing executive function in children
    • Zelazo, P. D. (2006). The Dimensional Change Card Sort (DCCS): A method of assessing executive function in children. Nature Protocols, 1, 297 - 301. doi: 10.1038/nprot.2006.46
    • (2006) Nature Protocols , vol.1 , pp. 297-301
    • Zelazo, P.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.