A brain for numbers

Healthy human brains come equipped with several circuits that contribute to number processing. Nature and nurture interact to produce a unique combination of core skills and more sophisticated abilities, by building on a handful of auxiliary routes (e.g., verbal language, body knowledge and visuospatial attention). Transcranial magnetic stimulation (TMS) studies on number processing will be here succinctly reviewed, in light of their most stimulating and challenging contributions. New research directions will be pointed out, that might enhance their theoretical impact.

[1]  I. Derakhshan Overestimation of numerical distances in the left side of space , 2005, Neurology.

[2]  Alfonso Caramazza,et al.  All Talk and No Action: A Transcranial Magnetic Stimulation Study of Motor Cortex Activation during Action Word Production , 2004, Journal of Cognitive Neuroscience.

[3]  Z. Nahas,et al.  Motor threshold in transcranial magnetic stimulation: a comparison of a neurophysiological method and a visualization of movement method. , 1998, The journal of ECT.

[4]  Brian Butterworth,et al.  Dexterity with numbers: rTMS over left angular gyrus disrupts finger gnosis and number processing , 2005, Neuropsychologia.

[5]  T. Holyoke,et al.  Number Words and Number Symbols , 1978 .

[6]  D. Ansari Effects of development and enculturation on number representation in the brain , 2008, Nature Reviews Neuroscience.

[7]  C. Umilta,et al.  Two orienting mechanisms in posterior parietal lobule: An rTMS study of the Simon and SNARC effects , 2007, Cognitive neuropsychology.

[8]  D. LeBihan,et al.  Modulation of Parietal Activation by Semantic Distance in a Number Comparison Task , 2001, NeuroImage.

[9]  Marinella Cappelletti,et al.  rTMS over the intraparietal sulcus disrupts numerosity processing , 2007, Experimental Brain Research.

[10]  Matthew F. S. Rushworth,et al.  The Mental Number Line and the Human Angular Gyrus , 2001, NeuroImage.

[11]  M. Corbetta,et al.  Control of goal-directed and stimulus-driven attention in the brain , 2002, Nature Reviews Neuroscience.

[12]  Daniel Ansari,et al.  Does the Parietal Cortex Distinguish between “10,” “Ten,” and Ten Dots? , 2007, Neuron.

[13]  Silke M. Göbel,et al.  Inferior Parietal RTMS Affects Performance in an Addition Task , 2006, Cortex.

[14]  Andreas Nieder,et al.  A parieto-frontal network for visual numerical information in the monkey. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[15]  Mark Hallett,et al.  The role of the human ventral premotor cortex in counting successive stimuli , 2007, Experimental Brain Research.

[16]  Silke M. Göbel,et al.  Parietal rTMS distorts the mental number line: Simulating ‘spatial’ neglect in healthy subjects , 2006, Neuropsychologia.

[17]  鯨井 隆 Corticocortical inhibition in human motor cortex , 1994 .

[18]  Jamie I. D. Campbell Handbook of mathematical cognition , 2004 .

[19]  Guilherme Wood,et al.  On the Cognitive Link between Space and Number: A Meta-Analysis of the SNARC Effect , 2008 .

[20]  J. Driver,et al.  Combining TMS and fMRI: From ‘virtual lesions’ to functional-network accounts of cognition , 2009, Cortex.

[21]  Uwe Herwig,et al.  Using the International 10-20 EEG System for Positioning of Transcranial Magnetic Stimulation , 2004, Brain Topography.

[22]  Alan Cowey,et al.  Transcranial magnetic stimulation and cognitive neuroscience , 2000, Nature Reviews Neuroscience.

[23]  M. Noël,et al.  Finger gnosia: a predictor of numerical abilities in children? , 2005, Child neuropsychology : a journal on normal and abnormal development in childhood and adolescence.

[24]  J. Bynner,et al.  Does Numeracy Matter? Evidence from the National Child Development Study on the Impact of Poor Numeracy on Adult Life. , 1997 .

[25]  Michael Andres,et al.  Hemispheric lateralization of number comparison. , 2005, Brain research. Cognitive brain research.

[26]  Klaus Willmes,et al.  On the functional role of human parietal cortex in number processing: How gender mediates the impact of a ‘virtual lesion’ induced by rTMS , 2006, Neuropsychologia.

[27]  J. Rothwell,et al.  Descending spinal cord volleys evoked by transcranial magnetic and electrical stimulation of the motor cortex leg area in conscious humans , 2001, The Journal of physiology.

[28]  Carlo Miniussi,et al.  The differential involvement of inferior parietal lobule in number comparison: a rTMS study , 2004, Neuropsychologia.

[29]  Michael Andres,et al.  Contribution of Hand Motor Circuits to Counting , 2007, Journal of Cognitive Neuroscience.

[30]  Michael Andres,et al.  Dissociation of numerosity and duration processing in the left intraparietal sulcus: A transcranial magnetic stimulation study , 2008, Cortex.

[31]  Alan W. Wells Does Numeracy Matter , 1997 .

[32]  P. Rossini,et al.  Non-invasive electrical and magnetic stimulation of the brain, spinal cord and roots: basic principles and procedures for routine clinical application. Report of an IFCN committee. , 1994, Electroencephalography and clinical neurophysiology.

[33]  Juha Silvanto,et al.  Neural adaptation reveals state‐dependent effects of transcranial magnetic stimulation , 2007, The European journal of neuroscience.

[34]  Avishai Henik,et al.  Virtual Dyscalculia Induced by Parietal-Lobe TMS Impairs Automatic Magnitude Processing , 2007, Current Biology.

[35]  Michael D. Dodd,et al.  Perceiving numbers causes spatial shifts of attention , 2003, Nature Neuroscience.

[36]  R. Shalev,et al.  Developmental Dyscalculia , 2004, Journal of child neurology.

[37]  S. Dehaene,et al.  A Magnitude Code Common to Numerosities and Number Symbols in Human Intraparietal Cortex , 2007, Neuron.

[38]  Luigi Cattaneo,et al.  Numbers within Our Hands: Modulation of Corticospinal Excitability of Hand Muscles during Numerical Judgment , 2007, Journal of Cognitive Neuroscience.

[39]  Philippe Pinel,et al.  Tuning Curves for Approximate Numerosity in the Human Intraparietal Sulcus , 2004, Neuron.

[40]  Brian Butterworth,et al.  The Mathematical Brain , 1999 .

[41]  ROBERT S. MOYER,et al.  Time required for Judgements of Numerical Inequality , 1967, Nature.

[42]  Brian Butterworth,et al.  Discrete and analogue quantity processing in the parietal lobe: a functional MRI study. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[43]  Benoit M. Macq,et al.  Registration and real-time visualization of transcranial magnetic stimulation with 3-D MR images , 2004, IEEE Transactions on Biomedical Engineering.