Magnetic Resonance Imaging
Volume 28, Issue 3 , Pages 351-362 , April 2010

An fMRI study of magnitude comparison and exact addition in children

  • Ernesta M. Meintjes

      Affiliations

    • Department of Human Biology, Faculty of Health Sciences, University of Cape Town, Cape Town 7925, South Africa
    • Corresponding Author InformationCorresponding author. Tel.: +27 21 406 6547; fax: +27 21 448 7226.
  • ,
  • Sandra W. Jacobson

      Affiliations

    • Department of Human Biology, Faculty of Health Sciences, University of Cape Town, Cape Town 7925, South Africa
    • Department of Psychiatry and Behavioral Neurosciences, Wayne State University School of Medicine, Detroit, MI, USA
    • Department of Psychiatry, Faculty of Health Sciences, University of Cape Town, Cape Town 7925, South Africa
  • ,
  • Christopher D. Molteno

      Affiliations

    • Department of Psychiatry, Faculty of Health Sciences, University of Cape Town, Cape Town 7925, South Africa
  • ,
  • J. Christopher Gatenby

      Affiliations

    • Vanderbilt University Institute of Imaging Sciences, Vanderbilt University, Nashville, TN, USA
  • ,
  • Christopher Warton

      Affiliations

    • Department of Human Biology, Faculty of Health Sciences, University of Cape Town, Cape Town 7925, South Africa
  • ,
  • Christopher J. Cannistraci

      Affiliations

    • Vanderbilt University Institute of Imaging Sciences, Vanderbilt University, Nashville, TN, USA
  • ,
  • John C. Gore

      Affiliations

    • Vanderbilt University Institute of Imaging Sciences, Vanderbilt University, Nashville, TN, USA
  • ,
  • Joseph L. Jacobson

      Affiliations

    • Department of Human Biology, Faculty of Health Sciences, University of Cape Town, Cape Town 7925, South Africa
    • Department of Psychiatry and Behavioral Neurosciences, Wayne State University School of Medicine, Detroit, MI, USA
    • Department of Psychiatry, Faculty of Health Sciences, University of Cape Town, Cape Town 7925, South Africa

Received 14 July 2009 ,Revised 28 October 2009 ,Accepted 27 November 2009.

References 

  1. Chochon F, Cohen L, van de Moortele PF, Dehaene S. Differential contributions of the left and right inferior parietal lobules to number processing. J Cogn Neurosci. 1999;11:617–630
  2. Dehaene S, Piazza M, Pinel P, Cohen L. Three parietal circuits for number processing. Cogn Neuropsychol. 2003;20:487–506
  3. Zago L, Petit L, Turbelin M, Andersson F, Vigneau M, Tzourio-Mazoyer N. How verbal and spatial manipulation networks contribute to calculation: An fMRI study. Neuropsychologia. 2008;46:2403–2414
  4. Menon V, Rivera SM, White CD, Glover GH, Reiss AL. Dissociating prefrontal and parietal cortex activation during arithmetic processing. Neuroimage. 2000;12:357–365
  5. Dehaene S, Cohen L. Towards an anatomical and functional model of number processing. Math Cogn. 1995;1:83–120
  6. Naccache L, Dehaene S. The priming method: imaging unconscious repetition priming reveals an abstract representation of number in the parietal lobes. Cereb Cortex. 2001;11:966–974
  7. Eger E, Sterzer P, Russ MO, Giraud AL, Kleinschmidt A. A supramodal number representation in human intraparietal cortex. Neuron. 2003;37:719–725
  8. Pinel P, Dehaene S, Riviere D, Le Bihan D. Modulation of parietal activation by semantic distance in a number comparison task. Neuroimage. 2001;14:1013–1026
  9. Hubbard EM, Piazza M, Pinel P, Dehaene S. Interactions between number and space in parietal cortex. Nat Rev Neurosci. 2005;6:435–448
  10. Simon O, Mangin JF, Cohen L, Le Bihan D, Dehaene S. Topographical layout of hand, eye, calculation, and language-related areas in the human parietal lobe. Neuron. 2002;33:475–487
  11. Dehaene S, Molko N, Cohen L, Wilson AJ. Arithmetic and the brain. Curr Opin Neurobiol. 2004;14:218–224
  12. Nieder A, Miller EK. Coding of cognitive magnitude: Compressed scaling of numerical information in the primate prefrontal cortex. Neuron. 2003;37:149–157
  13. Piazza M, Giacomini E, Le Bihan D, Dehaene S. Single-trial classification of parallel pre-attentive and serial attentive processes using functional magnetic resonance imaging. Proc Royal Soc London B. 2003;270:1237–1245
  14. Delazer M, Ischebeck A, Domahs F, Zamarian L, Koppelstaetter F, Siedentopf CM, et al. Learning strategies and learning by drill – evidence from an fMRI study. Neuroimage. 2005;25:839–849
  15. Stanescu-Cosson R, Pinel P, van de Moortele PF, Le Bihan D, Cohen L, Dehaene S. Understanding dissociations in dyscalculia: A brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation. Brain. 2000;123:2240–2255
  16. Dehaene S, Cohen L. Cerebral pathways for calculation: Double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex. 1997;33:219–250
  17. Cantlon JF, Brannon EM, Carter EJ, Pelphrey KA. Functional imaging of numerical processing in adults and 4-y-old children. PLOS Biol. 2006;e125:4
  18. Rivera SM, Reiss AL, Eckert MA, Menon V. Developmental changes in mental arithmetic: Evidence for increased functional specialization in the left inferior parietal cortex. Cereb Cortex. 2005;15:1779–1790
  19. Kawashima R, Taira M, Okita K, Inoue K, Tajima N, Yoshida H, et al. A functional MRI study of simple arithmetic—a comparison between children and adults. Cogn Brain Res. 2004;18:225–231
  20. Kucian K, Loenneker T, Dietrich T, Dosch M, Martin E, von Aster M. Impaired neural networks for approximate calculation in dyscalculic children: a functional MRI study. Behav Brain Funct. 2006;2:31
  21. Ansari D, Dhital B. Age-related changes in the activation of the intraparietal sulcus during nonsymbolic magnitude processing: an event-related functional magnetic resonance imaging study. J Cogn Neurosci. 2006;18:1820–1828
  22. Ansari D, Garcia N, Lucas E, Hamon K, Dhital B. Neural correlates of symbolic number processing in children and adults. Neuroreport. 2005;16:1769–1773
  23. Kaufman L, Koppelstaetter F, Siedentopf C, Haala I, Haberlandt E, Zimmerhackl L, et al. Neural correlates of the number-size interference task in children. Neuroreport. 2006;17:587–591
  24. Kaufman L, Vogel SE, Wood G, Kremser C, Schocke M, Zimmerhackl L, et al. A developmental fMRI study of nonsymbolic numerical and spatial processing. Cortex. 2008;44:376–385
  25. Davis N, Cannistraci CJ, Rogers BP, Gatenby JC, Fuchs LS, Anderson AW, et al. The neural correlates of calculation ability in children: an fMRI study. Magn Reson Imaging. 2009;27(9):1187–1197
  26. Sattler JM. Assessment of children. 3rd. ed.. San Diego: Jerome M. Sattler, Inc; 1992;
  27. Annett M. A classification of hand preference by association analysis. Br J Psychol. 1970;61:303–321
  28. Jacobson SW, Dodge N, Dehaene S, Chiodo LM, Sokol RJ, Jacobson JL. Evidence for a specific effect of prenatal alcohol on “number sense”. Alcohol: Clin Exp Res. 2003;121A:27
  29. Kopera-Frye K, Dehaene S, Streissguth AP. Impairments of number processing induced by prenatal alcohol exposure. Neuropsychologia. 1996;34:1187–1196
  30. Pelham WE, Gnagy EM, Greenslade KE, Milich R. Teacher ratings of DSM-III-R symptoms for the disruptive behavior disorders. J Am Acad Child Adolesc Psychiatry. 1992;31:210–218
  31. Ansari D. Does the parietal cortex distinguish between “10,” “ten,” and ten dots?. Neuron. 2007;53:165–167
  32. Ischebeck A, Zamarian L, Egger K, Schocke M, Delazer M. Imaging early practice effects in arithmetic. Neuroimage. 2007;36:993–1003
  33. Pesenti M, Thioux M, Seron X, De Volder A. Neuroanatomical substrates of Arabic number processing, numerical comparison, and simple addition: A PET study. J Cogn Neurosci. 2000;12:461–479
  34. Price GR, Holloway I, Rasanen P, Vesterinen M, Ansari D. Impaired parietal magnitude processing in developmental dyscalculia. Curr Biol. 2007;17:R1042–R1043
  35. Zago L, Pesenti M, Mellet E, Crivello F, Mazoyer B, Tzourio-Mazoyer N. Neural correlates of simple and complex mental calculation. Neuroimage. 2001;13:314–327
  36. Venkatraman V, Ansari D, Chee MWL. Neural correlates of symbolic and non-symbolic arithmetic. Neuropsychologia. 2005;43:744–753
  37. Qin Y, Carter CS, Silk EM, Stenger VA, Fissell K, Goode A, et al. The change of the brain activation patterns as children learn algebra equation solving. Proc Natl Acad Sci USA. 2004;101:5686–5691
  38. Kong J, Wang C, Kwong K, Vangel M, Chua E, Gollub R. The neural substrate of arithmetic operations and procedure complexity. Cogn Brain Res. 2005;22:397–405
  39. Todd JJ, Marois R. Capacity limit of visual short-term memory in human posterior parietal cortex. Nature. 2004;428:751–754
  40. Xu Y, Chun MM. Dissociable neural mechanisms supporting visual short-term memory for objects. Nature. 2006;440:91–95
  41. Leroux G, Bergman S, Klingberg T. Single-digit arithmetic is related to both visuo-spatial and object working memory in adults: an fMRI study. In: Paper presented at the Organization for Human Brain Mapping meeting, Chicago. 2007;
  42. Dehaene S, Spelke E, Pinel P, Stanescu R, Tsivkin S. Sources of mathematical thinking: Behavioral and brain-imaging evidence. Science. 1999;284:970–974
  43. Lee KM. Cortical areas differentially involved in multiplication and subtraction: A functional magnetic resonance imaging study and correlation with a case of selective acalculia. Ann Neurol. 2000;48:657–661
  44. Grabner RH, Ansari D, Reishofer G, Stern E, Ebner F, Neuper C. Individual differences in mathematical competence predict parietal brain activation during mental calculation. Neuroimage. 2007;38:346–356
  45. Geary DC, Wiley JG. Cognitive addition: strategy choice and speed-of-processing differences in young and elderly adults. Psychol Aging. 1991;6:474–483
  46. Ridderinkhof KR, Ullsperger M, Crone EA, Nieuwenhuis S. The role of the medial frontal cortex in cognitive control. Science. 2004;306:443–447
  47. Kucian K, von Aster M, Loenneker T, Dietrich T, Martin E. Development of neural networks for exact and approximate calculation: a fMRI study. Devel Neuropsychol. 2008;33:447–473
  48. Seitz RJ, Roland PE. Learning of sequential finger movements in man: A combined kinematic and positron emission tomography (PET) study. Eur J Neurosci. 1992;4:154–165
  49. Binkofski F, Buccino G, Posse S, Seitz RJ, Rizzolatti G, Freund HJ. A fronto-parietal circuit for object manipulation in man: Evidence from an fMRI study. Eur J Neurosci. 1999;11:3276–3286
  50. Butterworth B. The Mathematical Brain. London: Macmillan; 1999;
  51. Benke T, Delazer M, Bartha L, Auer A. Basal ganglia lesions and the theory of fronto-subcortical loops: Neuropsychological findings in two patients with left caudate lesions. Neurocase. 2003;9:70–85
  52. Delazer M, Domahs F, Lochy A, Karner E, Benke T, Poewe W. Number processing and basal ganglia dysfunction: a single case study. Neuropsychologia. 2004;42:1050–1062
  53. Ischebeck A, Zamarian L, Siedentopf C, Koppelstatter F, Benke T, Felber S, et al. How do we learn: Imaging the learning of multiplication and subtraction. Neuroimage. 2006;30:1365–1375
  54. Etard O, Mellet E, Papathanassiou D, Benali K, Houde O, Mazoyer B, et al. Picture naming without Broca's and Wernicke's area. Neuroreport. 1999;11:617–621
  55. Martin A, Wiggs CL, Ungerleider LG, Haxby JV. Neural correlates of category-specific knowledge. Nature. 1996;379:649–652
  56. Cavanna AE, Trimble MR. The precuneus: a review of its functional anatomy and behavioral correlates. Brain. 2006;129:564–583

PII: S0730-725X(09)00291-4

doi: 10.1016/j.mri.2009.11.010

Magnetic Resonance Imaging
Volume 28, Issue 3 , Pages 351-362 , April 2010