Recruitment of an Area Involved in Eye Movements During Mental Arithmetic

Addition to the Right, Subtraction to the Left High-level cognitive achievements, such as writing and mathematics, have appeared relatively recently in the evolutionary record in comparison to low-level skills, such as the perception of bright-dark boundaries. The latter have been demonstrated to arise from the coding properties of neurons in visual cortical centers, but what do the former map onto? Knops et al. (p. 1583, published online 7 May) provide evidence that addition and subtraction are encoded within the same cortical region that is responsible for eye movements to the right and left, such that the neural activity associated with addition could be distinguished from that associated with subtraction by a computational classifier trained to discriminate between rightward and leftward eye movements. Addition and subtraction are encoded in the same part of the brain that is responsible for eye movements and spatial attention. Throughout the history of mathematics, concepts of number and space have been tightly intertwined. We tested the hypothesis that cortical circuits for spatial attention contribute to mental arithmetic in humans. We trained a multivariate classifier algorithm to infer the direction of an eye movement, left or right, from the brain activation measured in the posterior parietal cortex. Without further training, the classifier then generalized to an arithmetic task. Its left versus right classification could be used to sort out subtraction versus addition trials, whether performed with symbols or with sets of dots. These findings are consistent with the suggestion that mental arithmetic co-opts parietal circuitry associated with spatial coding.

[1]  C. Gallistel The organization of learning , 1990 .

[2]  永福 智志 The Organization of Learning , 2005, Journal of Cognitive Neuroscience.

[3]  J R Duhamel,et al.  The updating of the representation of visual space in parietal cortex by intended eye movements. , 1992, Science.

[4]  S. Dehaene,et al.  The mental representation of parity and number magnitude. , 1993 .

[5]  S. Dehaene,et al.  The Number Sense: How the Mind Creates Mathematics. , 1998 .

[6]  E. Spelke,et al.  Sources of mathematical thinking: behavioral and brain-imaging evidence. , 1999, Science.

[7]  M. Goldberg,et al.  Space and attention in parietal cortex. , 1999, Annual review of neuroscience.

[8]  G. Lakoff,et al.  Where Mathematics Comes From , 2000 .

[9]  D. Wilkin,et al.  Neuron , 2001, Brain Research.

[10]  M. Sereno,et al.  Mapping of Contralateral Space in Retinotopic Coordinates by a Parietal Cortical Area in Humans , 2001, Science.

[11]  K. Priftis,et al.  Brain damage: Neglect disrupts the mental number line , 2002, Nature.

[12]  Alexandre Pouget,et al.  A computational perspective on the neural basis of multisensory spatial representations , 2002, Nature Reviews Neuroscience.

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

[14]  S. Dehaene,et al.  THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING , 2003, Cognitive neuropsychology.

[15]  K. Wynn,et al.  Large-Number Addition and Subtraction by 9-Month-Old Infants , 2004, Psychological science.

[16]  Wim Fias,et al.  Oculomotor bias induced by number perception. , 2004, Experimental psychology.

[17]  F. Tong,et al.  Decoding the visual and subjective contents of the human brain , 2005, Nature Neuroscience.

[18]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]/Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[19]  S. Dehaene,et al.  Interactions between number and space in parietal cortex , 2005, Nature Reviews Neuroscience.

[20]  G. Rees,et al.  Predicting the orientation of invisible stimuli from activity in human primary visual cortex , 2005, Nature Neuroscience.

[21]  Qiong Zhang,et al.  The Structures of Letters and Symbols throughout Human History Are Selected to Match Those Found in Objects in Natural Scenes , 2006, The American Naturalist.

[22]  Sean M. Polyn,et al.  Beyond mind-reading: multi-voxel pattern analysis of fMRI data , 2006, Trends in Cognitive Sciences.

[23]  Jean-Baptiste Poline,et al.  Inverse retinotopy: Inferring the visual content of images from brain activation patterns , 2006, NeuroImage.

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

[25]  Andreas Nieder,et al.  Neuronal population coding of continuous and discrete quantity in the primate posterior parietal cortex , 2007, Proceedings of the National Academy of Sciences.

[26]  Stanislas Dehaene,et al.  Moving along the Number Line: Operational Momentum in Nonsymbolic Arithmetic , 2006 .

[27]  Elizabeth M Brannon,et al.  Basic Math in Monkeys and College Students , 2007, PLoS biology.

[28]  S. Dehaene,et al.  Cultural Recycling of Cortical Maps , 2007, Neuron.

[29]  R. Passingham,et al.  Reading Hidden Intentions in the Human Brain , 2007, Current Biology.

[30]  J. Gallant,et al.  Identifying natural images from human brain activity , 2008, Nature.

[31]  R. Dolan,et al.  Fmri activity patterns in human loc carry information about object exemplars within category , 2008 .

[32]  Tom Michael Mitchell,et al.  Predicting Human Brain Activity Associated with the Meanings of Nouns , 2008, Science.

[33]  Pierre Pica,et al.  Log or Linear? Distinct Intuitions of the Number Scale in Western and Amazonian Indigene Cultures , 2008, Science.

[34]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.