2,639
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

The “Where” and “What” in Developmental Dyscalculia

, &
Pages 989-1008 | Published online: 29 Sep 2011

References

  • Agrillo, C, Dadda, M, Serena, G, and Bisazza, A, 2008. Do fish count? Spontaneous discrimination of quantity in female mosquito fish, Animal Cognition 11 (2008), pp. 495–503.
  • Ansari, D, Dhital, B, and Siong, SC, 2006. Parametric effects of numerical distance on the intraparietal sulcus during passive viewing of rapid numerosity changes, Brain Research 1067 (2006), pp. 181–188.
  • Ansari, D, and Karmiloff-Smith, A, 2002. Atypical trajectories of number development: A neuroconstructivist perspective, Trends in Cognitive Sciences 6 (2002), pp. 511–516.
  • Ansari, D, Lyons, IM, van Eimeren, L, and Xu, F, 2007. Linking visual attention and number processing in the brain: The role of the temporo-parietal junction in small and large symbolic and nonsymbolic number comparison, Journal of Cognitive Neuroscience 19 (2007), pp. 1845–1853.
  • Ashkenazi, S, and Henik, A, 2010a. Attentional networks in developmental dyscalculia, Behavioral and Brain Functions 6 (2010a), p. 2.
  • Ashkenazi, S, and Henik, A, 2010b. A disassociation between physical and mental number bisection in developmental dyscalculia, Neuropsychologia 48 (2010b), pp. 2861–2868.
  • Ashkenazi, S, Henik, A, Ifergane, G, and Shelef, I, 2008. Basic numerical processing in left intraparietal sulcus (IPS) acalculia, Cortex 44 (2008), pp. 439–448.
  • Ashkenazi, S, Mark-Zigdon, N, and Henik, A, 2009. Numerical distance effect in developmental dyscalculia, Cognitive Development 24 (2009), pp. 387–400.
  • Ashkenazi, S, , Mark-Zigdon, N., & Henik, A. (2011). Subitizing and counting in developmental dyscalculia. Manuscript submitted for publication.
  • Ashkenazi, S, Rubinsten, O, and Henik, A, 2009. Attention, automaticity, and developmental dyscalculia, Neuropsychology 23 (2009), pp. 535–540.
  • Banks, WP, Mermelstein, R, and Yu, KH, 1982. Discrimination among perceptual and symbolic stimuli, Memory & Cognition 10 (1982), pp. 265–275.
  • Brannon, EM, 2002. The development of ordinal numerical knowledge in infancy, Cognition 83 (2002), pp. 223–240.
  • Brannon, EM, 2003. Number knows no bounds, Trends in Cognitive Sciences 7 (2003), pp. 279–281.
  • Brannon, EM, and Terrace, HS, 1998. Ordering of the numerosities 1 to 9 by monkeys, Science 282 (1998), pp. 746–749.
  • Bruandet, M, Molko, N, Cohen, L, and Dehaene, S, 2004. A cognitive characterization of dyscalculia in Turner syndrome, Neuropsychologia 42 (2004), pp. 288–298.
  • Bull, R, Johnston, RS, and Roy, JA, 1999. Exploring the roles of the visual–spatial sketch pad and central executive in children's arithmetical skills: Views from cognition and developmental neuropsychology, Developmental Neuropsychology 15 (1999), pp. 421–442.
  • Bull, R, and Scerif, G, 2001. Executive functioning as a predictor of children's mathematics ability: Inhibition, switching and working memory, Developmental Neuropsychology 19 (2001), pp. 273–293.
  • Butterworth, B, 2005. The development of arithmetical abilities, Journal of Child Psychology and Psychiatry 46 (2005), pp. 3–18.
  • Butterworth, B, 2010. Foundational numerical capacities and the origins of dyscalculia, Trends in Cognitive Sciences 14 (2010), pp. 534–541.
  • Callejas, A, Lupianez, J, and Tudela, P, 2004. The three attentional networks: On their independence and interactions, Brain and Cognition 54 (2004), pp. 225–227.
  • Cantlon, JF, and Brannon, EM, 2006. Shared system for ordering small and large numbers in monkeys and humans, Psychological Science 17 (2006), pp. 401–406.
  • Cantlon, JF, Platt, ML, and Brannon, EM, 2009. Beyond the number domain, Trends in Cognitive Sciences 13 (2009), pp. 83–91.
  • Cohen Kadosh, R, Cohen Kadosh, K, and Henik, A, 2008. When brightness counts: The neuronal correlate of numerical-luminance interference, Cerebral Cortex 18 (2008), pp. 337–343.
  • Cohen Kadosh, R, Cohen Kadosh, K, Linden, DEJ, Gevers, W, Berger, A, and Henik, A, 2007. The brain locus of interaction between number and size: A combined functional magnetic resonance imaging and event-related potential study, Journal of Cognitive Neuroscience 19 (2007), pp. 957–970.
  • Cohen Kadosh, R, Cohen Kadosh, K, Schuhmann, T, Kaas, A, Goebel, R, Henik, A, et al., 2007. Virtual dyscalculia induced by parietal-lobe TMS impairs automatic magnitude processing, Current Biology 17 (2007), pp. 689–693.
  • Cohen Kadosh, R, and Henik, A, 2006. A common representation for semantic and physical properties: A cognitive-anatomical approach, Experimental Psychology 53 (2006), pp. 87–94.
  • Cohen Kadosh, R, Henik, A, Rubinsten, O, Mohr, H, Dori, H, van de Ven, V, et al., 2005. Are numbers special? The comparison systems of the human brain investigated by fMRI, Neuropsychologia 43 (2005), pp. 1238–1248.
  • Cohen Kadosh, R, and Walsh, V, 2009. Numerical representations in the parietal lobes: Abstract or not abstract?, Behavioral and Brain Sciences 32 (2009), pp. 313–373.
  • Cohen Kadosh, R, Walsh, V, and Henik, A, 2007. Selecting between intelligent options, Behavioral and Brain Sciences 30 (2007), p. 155.
  • Corbetta, M, and Shulman, GL, 2002. Control of goal-directed and stimulus-driven attention in the brain, Nature Reviews Neuroscience 3 (2002), pp. 201–215.
  • Cordes, S, Gelman, R, and Gallistel, CR, 2001. Variability signatures distinguish verbal from nonverbal counting in both large and small numbers, Psychological Bulletin and Review 8 (2001), pp. 698–707.
  • Dehaene, S, 1989. The psychophysics of numerical comparison: A reexamination of apparently incompatible data, Perception & Psychophysics 45 (1989), pp. 557–566.
  • Dehaene, S, 1992. Varieties of numerical abilities, Cognition 44 (1992), pp. 1–42.
  • Dehaene, S, Dupoux, E, and Mehler, J, 1990. Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison, Journal of Experimental Psychology: Human Perception and Performance 16 (1990), pp. 626–641.
  • S. Dehaene, Piazza, M., Pinel, P., & Cohen, L. (2003). Three parietal circuits for number processing. Cognitive Neuropsychology, 20, 487–506.
  • Delazer, M, Karner, E, Zamarian, L, Donnemiller, E, and Benke, T, 2006. Number processing in posterior cortical atrophy: A neuropsycholgical case study, Neuropsychologia 44 (2006), pp. 36–51.
  • Desoete, A, and Grégoire, J, 2007. Numerical competence in young children and in children with mathematics learning disabilities, Learning and Individual Differences 16 (2007), pp. 351–367.
  • Donelle, L, Arocha, JF, and Hoffman-Goetz, L, 2008. Health literacy and numeracy: Key factors in cancer risk comprehension, Chronic Diseases in Canada 29 (2008), pp. 1–8.
  • Duncan, EM, and McFarland, CE, 1980. Isolating the effect of symbolic distance and semantic congruity in comparative judgements: An additive factors analysis, Memory & Cognition 2 (1980), pp. 95–110.
  • Feigenson, L, Dehaene, S, and Spelke, E, 2004. Core systems of number, Trends in Cognitive Sciences 8 (2004), pp. 307–314.
  • Fias, W, Lammertyn, J, Reynvoet, B, Dupont, P, and Orban, GA, 2003. Parietal representation of symbolic and nonsymbolic magnitude, Journal of Cognitive Neuroscience 15 (2003), pp. 1–11.
  • Fischer, B, Gebhardt, C, and Hartnegg, K, 2008. Subitizing and visual counting in children with problems acquiring basic arithmetic skills, Optometry and Vision Development 39 (2008), pp. 24–29.
  • Geary, DC, Bow-Thomas, CC, and Yao, Y, 1992. Counting knowledge and skill in cognitive addition: A comparison of normal and mathematically disabled children, Journal of Experimental Child Psychology 54 (1992), pp. 372–391.
  • Geary, DC, and Hoard, MK, 2001. Numerical and arithmetical deficits in learning-disabled children: Relation to dyscalculia and dyslexia, Aphasiology 15 (2001), pp. 635–647.
  • Geary, DC, Hoard, MK, and Hamson, CO, 1999. Numerical and arithmetical cognition: Patterns of functions and deficits in children at risk for a mathematical disability, Journal of Experimental Child Psychology 74 (1999), pp. 213–239.
  • Geary, DG, 1993. Mathematical disabilities: Cognitive, neuropsychological, and genetic components, Psychological Bulletin 114 (1993), pp. 345–362.
  • Geary, DG, 2004. Mathematics and learning disabilities, Journal of Learning Disabilities 37 (2004), pp. 4–15.
  • Ginsburg, HP, 1997. Mathematics learning disabilities: A view from developmental psychology, Journal of Learning Disabilities 30 (1997), pp. 20–33.
  • Girelli, L, Lucangeli, D, and Butterworth, B, 2000. The development of automaticity in accessing number magnitude, Journal of Experimental Child Psychology 76 (2000), pp. 104–122.
  • Goodale, MA, Milner, AD, Jakobson, LS, and Carey, DP, 1991. A neurological dissociation between perceiving objects and grasping them, Nature 349 (1991), pp. 154–156.
  • Grigsby, JP, Kemper, MB, Hagerman, RJ, and Myers, CS, 1990. Neuropsychological dysfunction among affected heterozygous fragile X females, American Journal of Medical Genetics 35 (1990), pp. 28–35.
  • Gross-Tsur, V, Manor, O, and Shalev, RS, 1996. Developmental dyscalculia: Prevalence and demographic features, Developmental Medicine & Child Neurology 38 (1996), pp. 25–33.
  • Gross, HJ, Pahl, M, Si, A, Zhu, H, Tautz, J, and Zhang, S, 2009. Number-based visual generalisation in the honeybee, PLoS One 4(1) (2009), p. e4263.
  • Hamilton, W, 1859. Lectures on methaphysics and logic. Vol. I. Boston, MA: Gould & Lincoln; 1859.
  • Henik, A, and Tzelgov, J, 1982. Is three greater than five: The relation between physical and semantic size in comparison tasks, Memory & Cognition 10 (1982), pp. 389–395.
  • Holloway, ID, and Ansari, D, 2008. Domain-specific and domain-general changes in children's development of number comparison, Developmental Science 11 (2008), pp. 644–649.
  • Hubbard, EM, Piazza, M, Pinel, P, and Dehaene, S, 2005. Interactions between number and space in parietal cortex, Nature Reviews Neuroscience 6 (2005), pp. 435–448.
  • Husain, M, and Nachev, P, 2007. Space and the parietal cortex, Trends in Cognitive Sciences 11 (2007), pp. 30–36.
  • Husain, M, and Rorden, C, 2003. Non-spatial lateralized mechanisms in hemispatial neglect, Nature Reviews Neuroscience 4 (2003), pp. 26–36.
  • Isaacs, EB, Edmonds, CJ, Lucas, A, and Gadian, DG, 2001. Calculation difficulties in children of very low birthweight: A neural correlate, Brain 124 (2001), pp. 1701–1707.
  • Jevons, W. S. (1871). The power of numerical discrimination. Nature, 3, 281–282.
  • Jordan, NC, Hanich, LB, and Kaplan, D, 2003. A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with co-morbid mathematics and reading difficulties, Child Development 74 (2003), pp. 834–850.
  • Karmiloff-Smith, A, 2006. The tortuous route from genes to behavior: A neuroconstructivist approach, Cognitive, Affective, and Behavioral Neuroscience 1 (2006), pp. 9–17.
  • Kaufman, EL, Lord, MW, Reese, TW, and Volkmann, J, 1949. The discrimination of visual number, American Journal of Psychology 62 (1949), pp. 498–525.
  • Kaufmann, L, Koppelstaetter, F, Siedentopf, C, Haala, IEH, Zimmerhackl, L-B, et al., 2006. Neural correlates of the number-size interference task in children, NeuroReport 17 (2006), pp. 587–591.
  • Kaufmann, L, Lochy, A, Drexler, A, and Semenza, C, 2004. Deficient arithmetic fact retrieval-storage or access problem? A case study, Neuropsychologia 42 (2004), pp. 482–496.
  • Kaufmann, L, 2011. Wood, G., Rubinsten, O., & Henik, A. (2011), Meta-analysis of developmental fMRI studies investigating typical and atypical trajectories of number processing and calculation. Developmental Neuropsychology, 36, 763–787.
  • Klein, GS, 1964. Semantic power measured through the interference of words with color-naming, American Journal of Psychology 77 (1964), pp. 576–-588.
  • Koontz, KL, and Berch, DB, 1996. Identifying simple numerical stimuli: Processing inefficiencies exhibited by arithmetic learning disabled children, Mathematical Cognition 2 (1996), pp. 1–23.
  • Landerl, K, Bevan, A, and Butterworth, B, 2004. Developmental dyscalculia and basic numerical capacities: A study of 8–9-year-old students, Cognition 93 (2004), pp. 99–125.
  • Landerl, K, and Kölle, C, 2009. Typical and atypical development of basic numerical skills in elementary school, Journal of Experimental Child Psychology 103 (2009), pp. 546–565.
  • Lewis, C, Hitch, G, and Walker, P, 1994. The prevalence of specific arithmetic difficulties and specific reading difficulties in 9- and 10-year-old boys and girls, Journal of Child Psychology and Psychiatry and Allied Disciplines 35 (1994), pp. 283–292.
  • Lindsay, R, Tomazic, T, Levine, M, and Accardo, P, 2001. Attentional function as measured by a continuous performance task in children with dyscalculia, Journal of Developmental and Behavioral Pediatrics 22 (2001), pp. 287–292.
  • Link, S, 1990. Modeling imageless thought: The relative judgment theory of numerical comparison, Journal of Mathematical Psychology 34 (1990), pp. 2–41.
  • Lourenco, SF, and Longo, MR, 2010. General magnitude representation in human infants, Psychological Science 21 (2010), pp. 873–881.
  • MacLeod, CM, 1991. Half a century of research on the Stroop effect: An integrative review, Psychological Bulletin 109 (1991), pp. 163–203.
  • McComb, K, Packer, C, and Pusey, A, 1994. Roaring and numerical assessment in contests between groups of female lions, Panthera leo, Animal Behaviour 47 (1994), pp. 379–387.
  • Miller, CJ, and Hynd, GW, 2004. What ever happened to developmental Gerstmann's syndrome? Links to other pediatric, genetic, and neurodevelopmental syndromes, Journal of Child Neurology 19 (2004), pp. 282–290.
  • Mishkin, M, Ungerleider, LG, and Macko, KA, 1983. Object vision and spatial vision: two cortical pathways, Trends in Neurosciences 6 (1983), pp. 414–417.
  • Moeller, K, Neuburger, S, Kaufmann, L, Landerl, K, and Nuerk, H-C, 2009. Basic number processing deficits in developmental dyscalculia: Evidence from eye-tracking, Cognitive Development 24 (2009), pp. 371–386.
  • Molko, N, Cachia, A, Rivière, D, Mangin, J-F, Bruandet, M, Le Bihan, D, et al., 2003. Functional and structural alterations of the intraparietal sulcus in a developmental dyscalculia of genetic origin, Neuron 40 (2003), pp. 847–858.
  • Moyer, RS, 1973. Comparing objects in memory: Evidence suggesting an internal psychophysics, Perception & Psychophysics 13 (1973), pp. 180–184.
  • Moyer, RS, and Bayer, RH, 1976. Mental comparison and the symbolic distance effect, Cognitive Psychology 8 (1976), pp. 228–246.
  • Moyer, RS, and Landauer, TK, 1967. Time required for judgement of numerical inequality, Nature 215 (1967), pp. 1519–1520.
  • Mussolin, C, De Volder, A, Grandin, C, Schlögel, X, Nassogne, M-C, and Noël, M-P, 2009. Neural correlates of symbolic number comparison in developmental dyscalculia, Jounral of Cognitive Neuroscience 22 (2009), pp. 860–874.
  • Mussolin, C, Mejias, S, and Noël, M-P, 2010. Symbolic and nonsymbolic number comparison in children with and without dyscalculia, Cognition 115 (2010), pp. 10–25.
  • Mussolin, C, and Noël, M-P, 2007. The non-intentional processing of Arabic numbers in children, Journal of Clinical and Experimental Neuropsychology 29 (2007), pp. 225–234.
  • Navon, D, 1977. Forest before trees: The precedence of global features in visual perception, Cognitive Psychology 9 (1977), pp. 353–385.
  • Nelson, W, Reyna, VF, Fagerlin, A, Lipkus, I, and Peters, E, 2008. Clinical implications of numeracy: Theory and practice, Annual Behavioral Medicine 35 (2008), pp. 261–274.
  • Paivio, A, 1975. Perceptual comparisons through the mind's eye, Memory & Cognition 3 (1975), pp. 635–647.
  • Parkman, JM, 1971. Temporal aspects of digit and letter inequality judgments, Journal of Experimental Psychology 91 (1971), pp. 191–205.
  • Piazza, M, Giacomini, E, Le Bihan, D, and Dehaene, S, 2003. Single-trial classification of parallel pre-attentive and serial attentive processes using functional magnetic resonance imaging, Proceedings of the Royal Society of London Biological Sciences 270 (2003), pp. 1237–1245.
  • Price, GR, Holloway, I, Räsänen, P, Vesterinen, M, and Ansari, D, 2007. Impaired parietal magnitude processing in developmental dyscalculia, Current Biology 17 (2007), pp. 1042–1043.
  • Rivera-Batiz, FL, 1992. Quantitative literacy and the likelihood of employment among young adults in the United States, Journal of Human Resources 27 (1992), pp. 313–328.
  • Rotzer, S, Kucian, K, Martin, E, von Aster, M, Klaver, P, and Loenneker, T, 2008. Optimized voxel-based morphometry in children with developmental dyscalculia, NeuroImage 39 (2008), pp. 417–422.
  • Rotzer, S, Loenneker, T, Kucian, K, Martin, E, Klaver, P, and von Aster, M, 2009. Dysfunctional neural network of spatial working memory contributes to developmental dyscalculia, Neuropsychologia 47 (2009), pp. 2859–2865.
  • Rousselle, L, and Noël, M-P, 2007. Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing, Cognition 102 (2007), pp. 361–395.
  • Rubinsten, O, and Henik, A, 2005. Automatic activation of internal magnitudes: A study of developmental dyscalculia, Neuropsychology 19 (2005), pp. 641–648.
  • Rubinsten, O, and Henik, A, 2006. Double dissociation of functions in developmental dyslexia and dyscalculia, Journal of Educational Psychology 98 (2006), pp. 854–867.
  • Rubinsten, O, and Henik, A, 2009. Developmental dyscalculia: Heterogeneity may not mean different mechanisms, Trends in Cognitive Sciences 13 (2009), pp. 92–99.
  • Rubinsten, O, and Henik, A, 2010. Comorbidity: Cognition and biology count!, Behavioral and Brain Sciences 33 (2010), pp. 168–170.
  • Rubinsten, O, Henik, A, Berger, A, and Shahar-Shalev, S, 2002. The development of internal representations of magnitude and their association with Arabic numerals, Journal of Experimental Child Psychology 81 (2002), pp. 74–92.
  • Rusconi, E, Pinel, P, Dehaene, S, and Kleinschmidt, A, 2010. The enigma of Gerstmann's syndrome revisited: a telling tale of the vicissitudes of neuropsychology, Brain 133 (2010), pp. 320–332.
  • Rusconi, E, Pinel, P, Eger, E, LeBihan, D, Thirion, B, Dehaene, S, et al., 2009. A disconnection account of Gerstmann syndrome: Functional neuroanatomy evidence, Annals of Neurology 66 (2009), pp. 654–662.
  • Russell, RL, and Ginsburg, HP, 1984. Cognitive analysis of children's mathematical difficulties, Cognition and Instruction 1 (1984), pp. 217–244.
  • Rykhlevskaia, E, Uddin, LQ, Kondos, L, and Menon, V, 2009. Neuroanatomical correlates of developmental dyscalculia: combined evidence from morphometry and tractography, Frontiers in Human Neuroscience 3 (2009), p. 51.
  • Sapir, A, d’Avossa, G, McAvoy, M, Shulman, GL, and Corbetta, M, 2005. Brain signals for spatial attention predict performance in a motion discrimination task, Proceedings of the National Academy of Science, USA 102 (2005), pp. 17810–17815.
  • Schleifer, P, , & Landerl, K. (2011). Subitizing and counting in typical and atypical development. Developmental Science, 14, 280–291.
  • Schwarz, W, and Heinze, H-J, 1998. On the interaction of numerical and size information in digit comparison: A behavioral and event-related potential study, Neuropsychologia 36 (1998), pp. 1167–1179.
  • Sekular, R, and Mierkiewicz, D, 1977. Children's judgement of numerical inequality, Child Development 48 (1977), pp. 630–633.
  • Semrud-Clikeman, M, and Hynd, GW, 1990. Right hemispheric dysfunction in nonverbal learning disabilities: Social, academic, and adaptive functioning in adults and children, Psychological Bulletin 107 (1990), pp. 196–209.
  • Shalev, RS, Auerbach, J, and Gross-Tsur, V, 1995. Developmental dyscalculia behavioral and attentional aspects: A research note, Journal of Child Psychology and Psychiatry and Allied Disciplines 36 (1995), pp. 1261–1268.
  • Shalev, RS, and Gross-Tsur, V, 2001. Developmental dyscalculia, Pediatric Neurology 24 (2001), pp. 337–342.
  • Simon, O, Mangin, J-F, Cohen, L, Le Bihan, D, and Dehaene, S, 2002. Topographical layout of hand, eye, calculation, and language-related areas in the human parietal lobe, Neuron 33 (2002), pp. 475–487.
  • Stroop, JR, 1935. Studies of interference in serial verbal reactions, Journal of Experimental Psychology 18 (1935), pp. 643–662.
  • Szucs, D, and Soltesz, F, 2007. Event-related potentials dissociate facilitation and interference effects in the numerical Stroop paradigm, Neuropsychologia 45 (2007), pp. 3190–3202.
  • Trick, LM, and Pylyshyn, ZW, 1994. Why are small and large numbers enumerated differently? A limited capacity preattentive stage in vision, Psychological Review 101 (1994), pp. 80–102.
  • Tzelgov, J, Meyer, J, and Henik, A, 1992. Automatic and intentional processing of numerical information, Journal of Experimental Psychology: Learning, Memory, and Cognition 18 (1992), pp. 166–179.
  • Ungerleider, LG, and Haxby, JV, 1994. ‘What’ and ‘where’ in the human brain, Current Opinion in Neurobiology 4 (1994), pp. 157–165.
  • van der Sluis, S, de Jong, PF, and van der Leij, A, 2004. Inhibition and shifting in children with learning deficits in arithmetic and reading, Journal of Experimental Child Psychology 87 (2004), pp. 239–266.
  • Walsh, V, 2003. A theory of magnitude: common cortical metrics of time, space and quantity, Trends in Cognitive Sciences 7 (2003), pp. 483–488.
  • Weinberg, WA, and McLean, A, 1986. A diagnostic approach to developmental specific learning disabilities, Journal of Child Neurology 1 (1986), pp. 158–172.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.