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Volumn , Issue APRIL 2012, 2012, Pages

Malleability of the approximate number system: Effects of feedback and training

Author keywords

Analog magnitudes; Approximate number system; Estimation; Numerical; Numero sity; Perceptual learning

Indexed keywords

ACCURACY; ADULT; APPROXIMATE NUMBER SYSTEM; ARTICLE; DECISION MAKING; FEEDBACK SYSTEM; FEMALE; HUMAN; HUMAN EXPERIMENT; MALE; MENTAL FUNCTION; RESPONSE TIME; TASK PERFORMANCE; VISUAL INFORMATION;

EID: 84933676159     PISSN: 16625161     EISSN: 16625161     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (61)
  • 1
    • 55949090557 scopus 로고    scopus 로고
    • Judgements of discrete and continuous quantity: An illusory Stroop effect
    • Barth, H. (2008). Judgements of discrete and continuous quantity: an illusory Stroop effect. Cognition 109, 251-266.
    • (2008) Cognition , vol.109 , pp. 251-266
    • Barth, H.1
  • 2
    • 76649120573 scopus 로고    scopus 로고
    • Basic mathematical rules are encoded by primate prefrontal cortex neurons
    • Bongard, S., and Nieder, A. (2010). Basic mathematical rules are encoded by primate prefrontal cortex neurons. Proc. Natl. Acad. Sci. U.S.A. 107, 2277-2282.
    • (2010) Proc. Natl. Acad. Sci. U.S.A , vol.107 , pp. 2277-2282
    • Bongard, S.1    Nieder, A.2
  • 3
    • 67650218272 scopus 로고    scopus 로고
    • The parietal cortex and the representation of time, space, number and other magnitudes
    • Bueti, D., and Walsh, V. (2009). The parietal cortex and the representation of time, space, number and other magnitudes. Philos. Trans. R. Soc. Lond. B Biol. Sci. 364, 1831-1840.
    • (2009) Philos. Trans. R. Soc. Lond. B Biol. Sci , vol.364 , pp. 1831-1840
    • Bueti, D.1    Walsh, V.2
  • 4
    • 0024005875 scopus 로고
    • Dimensional interactions and the structure of psychological space - the representation of hue, saturation, and brightness
    • Burns, B., and Shepp, B. E. (1988). Dimensional interactions and the structure of psychological space - the representation of hue, saturation, and brightness. Percept. Psychophys. 43, 494-507.
    • (1988) Percept. Psychophys , vol.43 , pp. 494-507
    • Burns, B.1    Shepp, B.E.2
  • 6
    • 76949100116 scopus 로고    scopus 로고
    • Spontaneous analog number representations in 3-year-old children
    • Cantlon, J. F., Safford, K. E., and Brannon, E. M. (2010). Spontaneous analog number representations in 3-year-old children. Dev. Sci. 13, 289-297.
    • (2010) Dev. Sci , vol.13 , pp. 289-297
    • Cantlon, J.F.1    Safford, K.E.2    Brannon, E.M.3
  • 9
    • 21144480604 scopus 로고
    • The mental representation of parity and number magnitude
    • Dehaene, S., Bossini, S., and Giraux, P. (1993). The mental representation of parity and number magnitude. J. Exp. Psychol. Gen. 122, 371-396.
    • (1993) J. Exp. Psychol. Gen , vol.122 , pp. 371-396
    • Dehaene, S.1    Bossini, S.2    Giraux, P.3
  • 10
    • 0027508419 scopus 로고
    • Development of elementary numerical abilities - a neuronal model
    • Dehaene, S., and Changeux, J. P. (1993). Development of elementary numerical abilities - a neuronal model. J. Cogn. Neurosci. 5, 390-407.
    • (1993) J. Cogn. Neurosci , vol.5 , pp. 390-407
    • Dehaene, S.1    Changeux, J.P.2
  • 11
    • 37249005769 scopus 로고    scopus 로고
    • Semantic associations between signs and numerical categories in the prefrontal cortex
    • doi: 10.1371/journal.pbio. 0050294
    • Diester, I., and Nieder, A. (2007). Semantic associations between signs and numerical categories in the prefrontal cortex. PLoS Biol. 5, e294. doi: 10.1371/journal.pbio. 0050294
    • (2007) PLoS Biol , vol.5
    • Diester, I.1    Nieder, A.2
  • 12
    • 84859022588 scopus 로고    scopus 로고
    • A common right fronto-parietal network for numeros-ity and duration processing: An fMRI study
    • doi: 10.1002/hbm.21300 [Epub ahead of print
    • Dormal, V., Dormal, G., Joassin, F., and Pesenti, M. (2011). A common right fronto-parietal network for numeros-ity and duration processing: an fMRI study. Hum. Brain Mapp. doi: 10.1002/hbm.21300 [Epub ahead of print].
    • (2011) Hum. Brain Mapp
    • Dormal, V.1    Dormal, G.2    Joassin, F.3    Pesenti, M.4
  • 13
    • 67650503594 scopus 로고    scopus 로고
    • Common and specific contributions of the intraparietal sulci to numeros-ity and length processing
    • Dormal, V., and Pesenti, M. (2009). Common and specific contributions of the intraparietal sulci to numeros-ity and length processing. Hum. Brain Mapp. 30, 2466-2476.
    • (2009) Hum. Brain Mapp , vol.30 , pp. 2466-2476
    • Dormal, V.1    Pesenti, M.2
  • 14
    • 79959743037 scopus 로고    scopus 로고
    • Mental number line training in children with developmental dyscalculia
    • Dormal, V., and Pesenti, M (2011). Mental number line training in children with developmental dyscalculia. Neuroimage 57, 782-795.
    • (2011) Neuroimage , vol.57 , pp. 782-795
    • Dormal, V.1    Pesenti, M.2
  • 18
    • 34249882763 scopus 로고    scopus 로고
    • Symbolic arithmetic knowledge without instruction
    • Gilmore, C. K., McCarthy, S. E., and Spelke, E. S. (2007). Symbolic arithmetic knowledge without instruction. Nature 447, 589-591.
    • (2007) Nature , vol.447 , pp. 589-591
    • Gilmore, C.K.1    McCarthy, S.E.2    Spelke, E.S.3
  • 19
    • 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., and Spelke, E. S. (2010). Non-symbolic arithmetic abilities and mathematics achievement in the first year of formal schooling. Cognition 115, 394-406.
    • (2010) Cognition , vol.115 , pp. 394-406
    • Gilmore, C.K.1    McCarthy, S.E.2    Spelke, E.S.3
  • 20
    • 0017011645 scopus 로고
    • Effect of item arrangement on perceived nmeros-ity: Randomness vs regularity
    • Ginsburg, N. (1976). Effect of item arrangement on perceived nmeros-ity: randomness vs regularity. Percept. Mot. Skills 43, 663-668.
    • (1976) Percept. Mot. Skills , vol.43 , pp. 663-668
    • Ginsburg, N.1
  • 21
    • 0028452202 scopus 로고
    • Influences of categorization on perceptual discrimination
    • Goldstone, R. (1994). Influences of categorization on perceptual discrimination. J. Exp. Psychol. Gen. 123, 178-200.
    • (1994) J. Exp. Psychol. Gen , vol.123 , pp. 178-200
    • Goldstone, R.1
  • 22
    • 0031605844 scopus 로고    scopus 로고
    • Perceptual learning
    • Goldstone, R. L. (1998). Perceptual learning. Annu. Rev. Psychol. 49, 585-612.
    • (1998) Annu. Rev. Psychol , vol.49 , pp. 585-612
    • Goldstone, R.L.1
  • 23
    • 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., and Feigenson, L. (2008). Developmental change in the acuity of the "Number Sense": the Approximate Number System in 3, 4, 5, and 6-year-olds and adults. Dev. Psychol. 44, 1457-1465.
    • (2008) Dev. Psychol , vol.44 , pp. 1457-1465
    • Halberda, J.1    Feigenson, L.2
  • 24
    • 53349164253 scopus 로고    scopus 로고
    • Individual differences in non-verbal number acuity correlate with maths achievement
    • Halberda, J., Mazzocco, M. M., and Feigenson, L. (2008). Individual differences in non-verbal number acuity correlate with maths achievement. Nature 455, 665-668.
    • (2008) Nature , vol.455 , pp. 665-668
    • Halberda, J.1    Mazzocco, M.M.2    Feigenson, L.3
  • 25
    • 70349973864 scopus 로고    scopus 로고
    • Common and segregated neural pathways for the processing of symbolic and nonsymbolic numerical magnitude: An fMRI study
    • Holloway, I. D., Price, G. R., and Ansari, D. (2010). Common and segregated neural pathways for the processing of symbolic and nonsymbolic numerical magnitude: an fMRI study. Neuroimage 49, 1006-1017.
    • (2010) Neuroimage , vol.49 , pp. 1006-1017
    • Holloway, I.D.1    Price, G.R.2    Ansari, D.3
  • 26
    • 20044363089 scopus 로고    scopus 로고
    • Interactions between number and space in parietal cortex
    • Hubbard, E. M., Piazza, M., Pinel, P., and Dehaene, S. (2005). Interactions between number and space in parietal cortex. Nat. Rev. Neurosci. 6, 435-448.
    • (2005) Nat. Rev. Neurosci , vol.6 , pp. 435-448
    • Hubbard, E.M.1    Piazza, M.2    Pinel, P.3    Dehaene, S.4
  • 28
  • 30
    • 78049279783 scopus 로고    scopus 로고
    • Stable individual differences in number discrimination in infancy
    • Libertus, M. E., and Brannon, E. M. (2010). Stable individual differences in number discrimination in infancy. Dev. Sci. 13, 900-906.
    • (2010) Dev. Sci , vol.13 , pp. 900-906
    • Libertus, M.E.1    Brannon, E.M.2
  • 31
    • 13844314164 scopus 로고    scopus 로고
    • Discrimination of large and small numerosities by human infants
    • Lipton, J. S., and Spelke, E. S. (2004). Discrimination of large and small numerosities by human infants. Infancy 5, 271-290.
    • (2004) Infancy , vol.5 , pp. 271-290
    • Lipton, J.S.1    Spelke, E.S.2
  • 32
    • 80053130031 scopus 로고    scopus 로고
    • Numerical ordering ability mediates the relation between number-sense and arithmetic competence
    • Lyons, I. M., and Beilock, S. L. (2011). Numerical ordering ability mediates the relation between number-sense and arithmetic competence. Cognition 121, 256-261.
    • (2011) Cognition , vol.121 , pp. 256-261
    • Lyons, I.M.1    Beilock, S.L.2
  • 33
    • 77951023588 scopus 로고    scopus 로고
    • Challenging the reliability and validity of cognitive measures: The case of the numerical distance effect
    • Maloney, E. A., Risko, E. F., Preston, F., Ansari, D., and Fugelsang, J. (2010). Challenging the reliability and validity of cognitive measures: the case of the numerical distance effect. Acta Psychol. (Amst.) 134, 154-161.
    • (2010) Acta Psychol. (Amst.) , vol.134 , pp. 154-161
    • Maloney, E.A.1    Risko, E.F.2    Preston, F.3    Ansari, D.4    Fugelsang, J.5
  • 34
    • 79960196091 scopus 로고    scopus 로고
    • Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia)
    • Mazzocco, M. M., Feigenson, L., and Halberda, J. (2011a). Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia). Child Dev. 82, 1224-1237.
    • (2011) Child Dev , vol.82 , pp. 1224-1237
    • Mazzocco, M.M.1    Feigenson, L.2    Halberda, J.3
  • 35
    • 80052859017 scopus 로고    scopus 로고
    • Preschoolers' precision of the approximate number system predicts later school mathematics performance
    • doi: 10.1371/jour-nal.pone.0023749
    • Mazzocco, M. M., Feigenson, L., and Halberda, J. (2011b). Preschoolers' precision of the approximate number system predicts later school mathematics performance. PLoS ONE 6, e23749. doi: 10.1371/jour-nal.pone.0023749
    • (2011) PLoS ONE , vol.6
    • Mazzocco, M.M.1    Feigenson, L.2    Halberda, J.3
  • 36
  • 37
    • 85047671247 scopus 로고    scopus 로고
    • Multiple cues for quantification in infancy: Is number one of them?
    • Mix, K. S., Huttenlocher, J., and Levine, S. C. (2002). Multiple cues for quantification in infancy: is number one of them? Psychol. Bull. 128, 278-294.
    • (2002) Psychol. Bull , vol.128 , pp. 278-294
    • Mix, K.S.1    Huttenlocher, J.2    Levine, S.C.3
  • 38
    • 0014221599 scopus 로고
    • Time required for judgements of numerical inequality
    • Moyer, R. S., and Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature 215, 1519-1520.
    • (1967) Nature , vol.215 , pp. 1519-1520
    • Moyer, R.S.1    Landauer, T.K.2
  • 39
    • 67349157984 scopus 로고    scopus 로고
    • Children's mapping between symbolic and nonsymbolic representations of number
    • Mundy, E., and Gilmore, C. K. (2009). Children's mapping between symbolic and nonsymbolic representations of number. J. Exp. Child Psychol. 103, 490-502.
    • (2009) J. Exp. Child Psychol , vol.103 , pp. 490-502
    • Mundy, E.1    Gilmore, C.K.2
  • 40
    • 33748503705 scopus 로고    scopus 로고
    • Temporal and spatial enumeration processes in the primate parietal cortex
    • Nieder, A., Diester, I., and Tudusciuc, O. (2006). Temporal and spatial enumeration processes in the primate parietal cortex. Science 313, 1431-1435.
    • (2006) Science , vol.313 , pp. 1431-1435
    • Nieder, A.1    Diester, I.2    Tudusciuc, O.3
  • 41
    • 0037031720 scopus 로고    scopus 로고
    • Representation of the quantity of visual items in the primate prefrontal cortex
    • Nieder, A., Freedman, D. J., and Miller, E. K. (2002). Representation of the quantity of visual items in the primate prefrontal cortex. Science 297, 1708-1711.
    • (2002) Science , vol.297 , pp. 1708-1711
    • Nieder, A.1    Freedman, D.J.2    Miller, E.K.3
  • 42
    • 2442572095 scopus 로고    scopus 로고
    • A parieto-frontal network for visual numericalinformationinthemon- key
    • Nieder, A., and Miller, E. K. (2004). A parieto-frontal network for visual numericalinformationinthemon- key. Proc.Natl.Acad.Sci.U.S.A. 101, 7457-7462.
    • (2004) Proc.Natl.Acad.Sci.U.S.A , vol.101 , pp. 7457-7462
    • Nieder, A.1    Miller, E.K.2
  • 43
    • 78149410434 scopus 로고    scopus 로고
    • A physiologically-inspired model of numerical classification based on graded stimulus coding
    • doi: 10.3389/neuro.08.001.2010
    • Pearson, J., Roitman, J. D., Brannon, E. M., Platt, M. L., and Raghavachari, S. (2010). A physiologically-inspired model of numerical classification based on graded stimulus coding. Front. Behav. Neurosci. 4:1. doi: 10.3389/neuro.08.001.2010
    • (2010) Front. Behav. Neurosci , vol.4 , pp. 1
    • Pearson, J.1    Roitman, J.D.2    Brannon, E.M.3    Platt, M.L.4    Raghavachari, S.5
  • 46
    • 65649143436 scopus 로고    scopus 로고
    • How humans count: Numerosity and the parietal cortex
    • Piazza, M., and Izard, V. (2009). How humans count: numerosity and the parietal cortex. Neuroscientist 15, 261-273.
    • (2009) Neuroscientist , vol.15 , pp. 261-273
    • Piazza, M.1    Izard, V.2
  • 47
    • 5644298608 scopus 로고    scopus 로고
    • Exact and, approximate arithmetic in an Ama- zonian indigene group
    • Pica, P., Lemer, C., Izard, V., and Dehaene, S. (2004). Exact and, approximate arithmetic in an Ama- zonian indigene group. Science 306, 499-503.
    • (2004) Science , vol.306 , pp. 499-503
    • Pica, P.1    Lemer, C.2    Izard, V.3    Dehaene, S.4
  • 48
    • 34548248641 scopus 로고    scopus 로고
    • Monotonic coding of numerosity in macaque lateral intraparietal area
    • doi:10.1371/journal.pbio.0050208
    • Roitman, J. D., Brannon, E. M., and Platt, M. L. (2007). Monotonic coding of numerosity in macaque lateral intraparietal area. PLoS Biol. 5, e208. doi:10.1371/journal.pbio.0050208
    • (2007) PLoS Biol , vol.5
    • Roitman, J.D.1    Brannon, E.M.2    Platt, M.L.3
  • 49
    • 78650845453 scopus 로고    scopus 로고
    • The reliability of and the rela tion between non-symbolic numerical distance effects in comparison,same-different judgments and prim-ing
    • Sasanguie, D., Defever, E.,Van den Buss-che, E., and Reynvoet, B. (2011). The reliability of and the rela tion between non-symbolic numerical distance effects in comparison,same-different judgments and prim-ing. Acta Psychol. (Amst.) 136, 73-80.
    • (2011) Acta Psychol. (Amst.) , vol.136 , pp. 73-80
    • Sasanguie, D.1    Defever, E.2    van denbuss-Che, E.3    Reynvoet, B.4
  • 50
    • 85120388701 scopus 로고
    • Similarity, identity, and dimensions: Perceptual classification in children, and adults
    • eds B. E. Shepp and S. Ballesteros (Hillsdale, NJ: Lawrence Erlbaum Associates
    • Smith, L. B., and Evans, P. E. (1989). "Similarity, identity, and dimensions: perceptual classification in children, and adults." in Object Perception: Structure and Process, eds B. E. Shepp and S. Ballesteros (Hillsdale, NJ: Lawrence Erlbaum Associates), 325-356.
    • (1989) Object Perception: Structure and Process , pp. 325-356
    • Smith, L.B.1    Evans, P.E.2
  • 51
    • 0037148831 scopus 로고    scopus 로고
    • Numerical representation for action in the parietal cor tex of the monkey
    • Tanji, J., Sawamura, H., and Shima, K. (2002). Numerical representation for action in the parietal cor tex of the monkey. Nature 415, 918-922.
    • (2002) Nature , vol.415 , pp. 918-922
    • Tanji, J.1    Sawamura, H.2    Shima, K.3
  • 52
    • 77958509183 scopus 로고    scopus 로고
    • How might the discrepancy in the, effects of perceptual variables on numerosity judgment be reconciled?
    • Tokita, M., and Ishiguchi, A. (2010). How might the discrepancy in the, effects of perceptual variables on numerosity judgment be reconciled? Atten. Percept. Psychophys. 72,1839-1853.
    • (2010) Atten. Percept. Psychophys , vol.72 , pp. 1839-1853
    • Tokita, M.1    Ishiguchi, A.2
  • 53
    • 35448993329 scopus 로고    scopus 로고
    • Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex
    • Tudusciuc, O., and Nieder, A. (2007). Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex. Proc. Natl. Acad. Sci. U.S.A. 104, 14513-14518.
    • (2007) Proc. Natl. Acad. Sci. U.S.A , vol.104 , pp. 14513-14518
    • Tudusciuc, O.1    Nieder, A.2
  • 54
    • 13844253539 scopus 로고    scopus 로고
    • Neural correlates of symbolic and non-symbolic arithmetic
    • Venkatraman, V., Ansari, D., and Chee, M. W. (2005). Neural correlates of symbolic and non-symbolic arithmetic. Neuropsychologia 43, 744-753.
    • (2005) Neuropsychologia , vol.43 , pp. 744-753
    • Venkatraman, V.1    Ansari, D.2    Chee, M.W.3
  • 55
    • 10144251768 scopus 로고    scopus 로고
    • Representation of number in animals and humans: A neural model
    • Verguts, T., and Fias, W. (2004). Representation of number in animals and humans: a neural model. J. Cogn. Neurosci. 16, 1493-1504.
    • (2004) J. Cogn. Neurosci , vol.16 , pp. 1493-1504
    • Verguts, T.1    Fias, W.2
  • 56
    • 51049122609 scopus 로고    scopus 로고
    • Symbolic and non symbolic pathways of number processing
    • Verguts, T., and Fias, W. (2008). Symbolic and non symbolic pathways of number processing. Philos. Psychol. 21, 539-554.
    • (2008) Philos. Psychol , vol.21 , pp. 539-554
    • Verguts, T.1    Fias, W.2
  • 57
    • 0142216244 scopus 로고    scopus 로고
    • A theory of magnitude: Common cortical metrics of time, space and quantity
    • Walsh, V. (2003). A theory of magnitude: common cortical metrics of time, space and quantity. Trends Cogn. Sci. 7, 483-488.
    • (2003) Trends Cogn. Sci , vol.7 , pp. 483-488
    • Walsh, V.1
  • 58
    • 33747337734 scopus 로고    scopus 로고
    • Principles underlying the design of "The Number Race", an adaptive computer game for remediation of dyscalculia
    • Wilson, A. J., Dehaene, S., Pinel, P., Revkin, S. K., Cohen, L., and Cohen, D. (2006a). Principles underlying the design of "The Number Race", an adaptive computer game for remediation of dyscalculia. Behav. Brain Funct. 2, 19.
    • (2006) Behav. Brain Funct , vol.2 , pp. 19
    • Wilson, A.J.1    Dehaene, S.2    Pinel, P.3    Revkin, S.K.4    Cohen, L.5    Cohen, D.6
  • 59
    • 33747337734 scopus 로고    scopus 로고
    • An open trial assessment of "The Number Race", an adaptive computer game for remediation of dyscalculia
    • Wilson, A. J., Revkin, S. K., Cohen, D., Cohen, L., and Dehaene, S. (2006b). An open trial assessment of "The Number Race", an adaptive computer game for remediation of dyscalculia. Behav. Brain Funct. 2, 20.
    • (2006) Behav. Brain Funct , vol.2 , pp. 20
    • Wilson, A.J.1    Revkin, S.K.2    Cohen, D.3    Cohen, L.4    Dehaene, S.5
  • 60
    • 0032146331 scopus 로고    scopus 로고
    • Psychological foundations of number: Numerical competence in human infants
    • Wynn, K.(1998). Psychological foundations of number: numerical competence in human infants. Trends Cogn. Sci. 2, 296-303.
    • (1998) Trends Cogn. Sci , vol.2 , pp. 296-303
    • Wynn, K.1
  • 61
    • 0037046551 scopus 로고    scopus 로고
    • Brain damage - neglect disrupts the mental number line
    • Zorzi, M., Priftis, K., and Umilta, C. (2002). Brain damage - neglect disrupts the mental number line. Nature 417, 138-139.
    • (2002) Nature , vol.417 , pp. 138-139
    • Zorzi, M.1    Priftis, K.2    Umilta, C.3


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