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Volumn 53, Issue 4, 2013, Pages 17-35

Number comparison and number line estimation rely on different mechanisms

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EID: 84888411057     PISSN: 00332879     EISSN: 2054670X     Source Type: Journal    
DOI: 10.5334/pb-53-4-17     Document Type: Article
Times cited : (27)

References (48)
  • 1
    • 84855888006 scopus 로고    scopus 로고
    • Linear mapping of numbers onto space requires attention
    • Anobile, G., Cicchini, G.M., & Burr, D. C. (2012). Linear mapping of numbers onto space requires attention. Cognition, 122, 454-459.
    • (2012) Cognition , vol.122 , pp. 454-459
    • Anobile, G.1    Cicchini, G.M.2    Burr, D.C.3
  • 2
    • 78650141997 scopus 로고    scopus 로고
    • The development of numerical estimation: Evidence against a representational shift
    • Barth, H.C., & Paladino, A.M. (2011). The development of numerical estimation: Evidence against a representational shift. Developmental Science, 14, 125-135.
    • (2011) Developmental Science , vol.14 , pp. 125-135
    • Barth, H.C.1    Paladino, A.M.2
  • 4
    • 0001813556 scopus 로고
    • Regression diagnostics: An expository treatment of outliers and influential cases
    • In J. Fox & J. Scott Long (Eds.), Newbury Park, CA: Sage
    • Bollen, K.A., & Jackman, R. (1990). Regression diagnostics: An expository treatment of outliers and influential cases. In J. Fox & J. Scott Long (Eds.), Modem methods of data analysis (pp. 257-291). Newbury Park, CA: Sage.
    • (1990) Modem Methods of Data Analysis , pp. 257-291
    • Bollen, K.A.1    Jackman, R.2
  • 5
    • 31644448488 scopus 로고    scopus 로고
    • Developmental and individual differences in pure numerical estimation
    • DOI 10.1037/0012-1649.41.6.189
    • Booth, J.L., & Siegler, R.S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 41, 189-201. (Pubitemid 43172338)
    • (2006) Developmental Psychology , vol.42 , Issue.1 , pp. 189-201
    • Booth, J.L.1    Siegler, R.S.2
  • 6
    • 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.
    • (2008) Child Development , vol.79 , pp. 1016-1031
    • Booth, J.L.1    Siegler, R.S.2
  • 7
    • 79951845614 scopus 로고    scopus 로고
    • Combining speed and accuracy in cognitive psychology: Is the inverse efficiency score IES a better dependent variable than the mean reaction time (RT) and the percentage of errors (PE)?
    • Bruyer, R., & M. Brysbaert (2011). Combining speed and accuracy in cognitive psychology: is the inverse efficiency score IES a better dependent variable than the mean reaction time (RT) and the percentage of errors (PE)? Psychologica Belgica, 51, 5-13.
    • (2011) Psychologica Belgica , vol.51 , pp. 5-13
    • Bruyer, R.1    Brysbaert, M.2
  • 8
    • 79952786772 scopus 로고    scopus 로고
    • Individual differences in children's mathematical competence are related to the intentional but not automatic processing of Arabic numerals
    • Bugden, S., & Ansari, D. (2011). Individual differences in children's mathematical competence are related to the intentional but not automatic processing of Arabic numerals. Cognition, 118, 35-47.
    • (2011) Cognition , vol.118 , pp. 35-47
    • Bugden, S.1    Ansari, D.2
  • 9
    • 77955944527 scopus 로고    scopus 로고
    • Double dissociation of format-dependent and number-specific neurons in human parietal cortex
    • Cohen Kadosh, R., Muggleton, N., Silvanto, J., & Walsh, V. (2010). Double dissociation of format-dependent and number-specific neurons in human parietal cortex. Cerebral Cortex, 20, 2166-2171.
    • (2010) Cerebral Cortex , vol.20 , pp. 2166-2171
    • Cohen Kadosh, R.1    Muggleton, N.2    Silvanto, J.3    Walsh, V.4
  • 10
    • 79952311954 scopus 로고    scopus 로고
    • Children's representation of symbolic and non-symbolic magnitude examined with the priming paradigm
    • Defever, E., Sasanguie, D., Gebuis, T., & Reynvoet, B. (2011). Children's representation of symbolic and non-symbolic magnitude examined with the priming paradigm. Journal of Experimental Child Psychology, 109, 174-186.
    • (2011) Journal of Experimental Child Psychology , vol.109 , pp. 174-186
    • Defever, E.1    Sasanguie, D.2    Gebuis, T.3    Reynvoet, B.4
  • 11
    • 84858722969 scopus 로고    scopus 로고
    • What can the same-different task tell us about the development of magnitude representations?
    • Defever, E., Sasanguie, D., Vandewaetere, M., & Reynvoet, B. (2012). What can the same-different task tell us about the development of magnitude representations? Acta Psychologica, 140, 35-42.
    • (2012) Acta Psychologica , vol.140 , pp. 35-42
    • Defever, E.1    Sasanguie, D.2    Vandewaetere, M.3    Reynvoet, B.4
  • 14
    • 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. (2009). The predictive value of numerical magnitude comparison for individual differences in mathematics achievement. Journal of Experimental Child Psychology, 103,469-479.
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 469-479
    • De Smedt, B.1    Verschaffel, L.2    Ghesquière, P.3
  • 16
    • 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., Frick, A., Luwel, K., 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.
    • (2008) Journal of Experimental Child Psychology , vol.99 , pp. 1-17
    • Ebersbach, M.1    Frick, A.2    Luwel, K.3    Onghena, P.4    Verschaffel, L.5
  • 17
    • 34548103808 scopus 로고    scopus 로고
    • Processing of abstract ordinal knowledge in the horizontal segment of the intraparietal sulcus
    • DOI 10.1523/JNEUROSCI.2076-07.2007
    • Fias, W., Lammertyn, J., Caessens, B., & Orban, G.A. (2007). Processing of abstract ordinal knowledge in the horizontal segment of the intraparietal sulcus. Journal of Neuroscience, 27, 8952-8956. (Pubitemid 47292751)
    • (2007) Journal of Neuroscience , vol.27 , Issue.33 , pp. 8952-8956
    • Fias, W.1    Lammertyn, J.2    Caessens, B.3    Orban, G.A.4
  • 18
    • 0026902355 scopus 로고
    • Preverbal and verbal counting and computation
    • Gallistel, C.R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44, 43-74.
    • (1992) Cognition , vol.44 , pp. 43-74
    • Gallistel, C.R.1    Gelman, R.2
  • 19
    • 81255129063 scopus 로고    scopus 로고
    • Generating non-symbolic number stimuli
    • Gebuis, T. & Reynvoet, B. (2011). Generating non-symbolic number stimuli. Behavior Research Methods, 43, 981 986
    • (2011) Behavior Research Methods , vol.43 , pp. 981986
    • Gebuis, T.1    Reynvoet, B.2
  • 21
    • 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.
    • (2008) Developmental Science , vol.11 , pp. 644-649
    • Holloway, I.D.1    Ansari, D.2
  • 22
    • 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. (2009). Mapping numerical magnitudes onto symbols: The numerical distance effect and individual differences in children's mathematics achievement. Journal of Experimental Child Psychology, 103, 17-29.
    • (2009) Journal of Experimental Child Psychology , vol.103 , pp. 17-29
    • Holloway, I.D.1    Ansari, D.2
  • 23
    • 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. (2011). Non-verbal number acuity correlates with symbolic mathematics achievement: But only in children. Psychonomic Bulletin Review, 18, 1222-1229.
    • (2011) Psychonomic Bulletin Review , vol.18 , pp. 1222-1229
    • Inglis, M.1    Attridge, N.2    Batchelor, S.3    Gilmore, C.4
  • 24
    • 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. (2008). Core information processing deficits in developmental dyscalculia and low numeracy. Developmental Science, 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
  • 25
    • 35948988958 scopus 로고    scopus 로고
    • Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numericalmagnitude comparison
    • Laski, E. V., & Siegler, R.S. (2007). Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numericalmagnitude comparison. Child Development, 78, 1723-1743.
    • (2007) Child Development , vol.78 , pp. 1723-1743
    • Laski, E.V.1    Siegler, R.S.2
  • 26
    • 80052848320 scopus 로고    scopus 로고
    • Preschool acuity of the approximate number system correlates with school math ability
    • Libertus, M.E., Feigenson, L., & Halberda, J. (2011). Preschool acuity of the approximate number system correlates with school math ability. Developmental Science, 14, 1292-1300.
    • (2011) Developmental Science , vol.14 , pp. 1292-1300
    • Libertus, M.E.1    Feigenson, L.2    Halberda, J.3
  • 27
    • 77951023588 scopus 로고    scopus 로고
    • Challenging the reliability and validity of cognitive measures: The case of the numerical distance effect
    • Maloney, E., Risko, E.F., Preston, F., Ansari, D., & Fugelsang, J. (2010). Challenging the reliability and validity of cognitive measures: The case of the numerical distance effect. Acta Psychologica, 134, 154-161.
    • (2010) Acta Psychologica , vol.134 , pp. 154-161
    • Maloney, E.1    Risko, E.F.2    Preston, F.3    Ansari, D.4    Fugelsang, J.5
  • 28
    • 84867113281 scopus 로고    scopus 로고
    • A unitary or multiple representations of numerical magnitude? - The case of structure in symbolic and non-symbolic quantities
    • doi: 10.3389/fpsycg.2012.00191
    • Moeller, K., Klein, E., Nuerk, H.-C., & Cohen-Kadosh, R. (2012). A unitary or multiple representations of numerical magnitude? - The case of structure in symbolic and non-symbolic quantities. Frontiers in psychology, 3, 191, doi: 10.3389/fpsycg.2012.00191
    • (2012) Frontiers in Psychology , vol.3 , pp. 191
    • Moeller, K.1    Klein, E.2    Nuerk, H.-C.3    Cohen-Kadosh, R.4
  • 29
    • 0014221599 scopus 로고
    • Time required for judgments of numerical inequality
    • Moyer, R.S., & Landauer, T.K. (1967). Time required for judgments of numerical inequality. Nature, 215, 1519-1520.
    • (1967) Nature , vol.215 , pp. 1519-1520
    • Moyer, R.S.1    Landauer, T.K.2
  • 30
    • 0034771256 scopus 로고    scopus 로고
    • Decade breaks in the mental number line? Putting tens and units back into different bins
    • Nuerk, H.-C., Weger, U., & Willmes, K. (2001). Decade breaks in the mental number line? Putting tens and units back into different bins. Cognition, 82, 25-33.
    • (2001) Cognition , vol.82 , pp. 25-33
    • Nuerk, H.-C.1    Weger, U.2    Willmes, K.3
  • 31
    • 84963144864 scopus 로고
    • Development of numberline and measurement concepts
    • Petitto, A.L. (1990). Development of numberline and measurement concepts. Cognition and Instruction, 7, 55-78.
    • (1990) Cognition and Instruction , vol.7 , pp. 55-78
    • Petitto, A.L.1
  • 32
    • 72049112608 scopus 로고    scopus 로고
    • Number processing pathways in human parietal cortex
    • doi: 10.1093/cercor/bhp080
    • Santens, S., Roggeman, C., Fias, W., & Verguts, T. (2010). Number processing pathways in human parietal cortex. Cerebral Cortex, 20, 77-88, doi: 10.1093/cercor/bhp080
    • (2010) Cerebral Cortex , vol.20 , pp. 77-88
    • Santens, S.1    Roggeman, C.2    Fias, W.3    Verguts, T.4
  • 33
    • 78650845453 scopus 로고    scopus 로고
    • The reliability of and the relation between non-symbolic numerical distance effects in comparison, same-different judgments and priming
    • Sasanguie, D., Defever, E., Van den Bussche, E., & Reynvoet, B. (2011). The reliability of and the relation between non-symbolic numerical distance effects in comparison, same-different judgments and priming. Acta Psychologica, 136, 73-80.
    • (2011) Acta Psychologica , vol.136 , pp. 73-80
    • Sasanguie, D.1    Defever, E.2    Van Den Bussche, E.3    Reynvoet, B.4
  • 35
    • 84864555958 scopus 로고    scopus 로고
    • Predictors for mathematics achievement? Evidence from a longitudinal study. Mind
    • Sasanguie, D., Van den Bussche, E., & Reynvoet, B. (2012). Predictors for mathematics achievement? Evidence from a longitudinal study. Mind, Brain and Education, 6, 119-128.
    • (2012) Brain and Education , vol.6 , pp. 119-128
    • Sasanguie, D.1    Van Den Bussche, E.2    Reynvoet, B.3
  • 36
    • 84873310650 scopus 로고    scopus 로고
    • Acuity of the approximate number sense, symbolic number comparison or mapping numbers onto space: What underlies mathematics achievement?
    • Sasanguie, D., Göbel, S., Moll, K., Smets, K., & Reynvoet, B. (2013). Acuity of the approximate number sense, symbolic number comparison or mapping numbers onto space: what underlies mathematics achievement? Journal of Experimental Child Psychology, 114, 418-431.
    • (2013) Journal of Experimental Child Psychology , vol.114 , pp. 418-431
    • Sasanguie, D.1    Göbel, S.2    Moll, K.3    Smets, K.4    Reynvoet, B.5
  • 37
    • 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. (2009). Mental number line, number line estimation, and mathematical achievement: Their interrelations in Grades 5 and 6. Journal of Educational Psychology, 101, 359-372.
    • (2009) Journal of Educational Psychology , vol.101 , pp. 359-372
    • Schneider, M.1    Grabner, R.H.2    Paetsch, J.3
  • 39
    • 3142682172 scopus 로고    scopus 로고
    • Development of numerical estimation in young children
    • DOI 10.1111/j.1467-8624.2004.00684.x
    • Siegler, R.S., & Booth, J.L. (2004). Development of numerical estimation in young children. Child Development, 75, 428-444. (Pubitemid 39080065)
    • (2004) Child Development , vol.75 , Issue.2 , pp. 428-444
    • Siegler, R.S.1    Booth, J.L.2
  • 40
    • 0042779722 scopus 로고    scopus 로고
    • The development of numerical estimation: Evidence for multiple representations of numerical quantity
    • DOI 10.1111/1467-9280.02438
    • Siegler, R.S. & Opfer, J.E. (2003). The development of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science, 14, 237-243. (Pubitemid 37282433)
    • (2003) Psychological Science , vol.14 , Issue.3 , pp. 237-243
    • Siegler, R.S.1    Opfer, J.E.2
  • 41
    • 0029451201 scopus 로고
    • Reliability of the Stroop test with single-stimulus presentation
    • Siegrist, M. (1995). Reliability of the Stroop test with single-stimulus presentation. Perceptual and Motor Skills, 81, 1295-1298.
    • (1995) Perceptual and Motor Skills , vol.81 , pp. 1295-1298
    • Siegrist, M.1
  • 42
    • 25444458914 scopus 로고    scopus 로고
    • Test-retest reliability of standard and emotional Stroop tasks: An investigation of color-word and picture-word versions
    • DOI 10.1177/1073191105276375
    • Strauss, G.P., Allen, D.N., Jorgensen, M.L., & Cramer, S.L. (2005). Test-retest reliability of standard and emotional Stroop Tasks. An investigation of color-word and picture-word versions. Assessment, 12, 330-337. (Pubitemid 41359508)
    • (2005) Assessment , vol.12 , Issue.3 , pp. 330-337
    • Strauss, G.P.1    Allen, D.N.2    Jorgensen, M.L.3    Cramer, S.L.4
  • 43
    • 80051730224 scopus 로고    scopus 로고
    • How to statistically show the absence of an effect
    • Quertemont, E. (2011). How to statistically show the absence of an effect. Psychologica Belgica, 51, 109-127.
    • (2011) Psychologica Belgica , vol.51 , pp. 109-127
    • Quertemont, E.1
  • 44
    • 84864573638 scopus 로고    scopus 로고
    • Numerical magnitude representations and individual differences in children's arithmetic strategy use. Mind
    • Vanbinst, K., Ghesquière, P., & De Smedt, B. (2012). Numerical magnitude representations and individual differences in children's arithmetic strategy use. Mind, Brain and Education, 6, 129-136.
    • (2012) Brain and Education , vol.6 , pp. 129-136
    • Vanbinst, K.1    Ghesquière, P.2    De Smedt, B.3
  • 45
    • 48049111227 scopus 로고    scopus 로고
    • Dissecting the symbolic distance effect: Priming and comparison distance effects in numerical and non-numerical orders
    • Van Opstal, F., Gevers, W., De Moor, W., & Verguts, T. (2008). Dissecting the symbolic distance effect: Priming and comparison distance effects in numerical and non-numerical orders. Psychonomic Bulletin & Review, 15, 419-425.
    • (2008) Psychonomic Bulletin & Review , vol.15 , pp. 419-425
    • Van Opstal, F.1    Gevers, W.2    De Moor, W.3    Verguts, T.4
  • 46
    • 79959783801 scopus 로고    scopus 로고
    • The origins of the numerical distance effect: The same-different task
    • Van Opstal, F., & Verguts, T. (2011) . The origins of the numerical distance effect: The same-different task. Journal of Cognitive Psychology, 23, 112-120.
    • (2011) Journal of Cognitive Psychology , vol.23 , pp. 112-120
    • Van Opstal, F.1    Verguts, T.2
  • 47
    • 21244494479 scopus 로고    scopus 로고
    • A model of exact small-number representation
    • Verguts, T., Fias, W., & Stevens, M. (2005). A model of exact small-number representation. Psychonomic Bulletin & Review, 12, 66-80. (Pubitemid 40900494)
    • (2005) Psychonomic Bulletin and Review , vol.12 , Issue.1 , pp. 66-80
    • Verguts, T.1    Fias, W.2    Stevens, M.3
  • 48
    • 84855255607 scopus 로고    scopus 로고
    • Representational change and strategy use in children's number line estimation during the first years of primary school
    • White, S., & Szücs, D. (2012), Representational change and strategy use in children's number line estimation during the first years of primary school. Behavioral and Brain Functions, 8: 1.
    • (2012) Behavioral and Brain Functions , vol.8 , pp. 1
    • White, S.1    Szücs, D.2


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