Neural correlates of numbers and mathematical terms

Numerical processing has been demonstrated to be subserved typically by the brain regions around the bilateral intraparietal sulcus (IPS). The goal of the current study was to investigate whether the processing of mathematical terms shared the same brain regions with numerical processing. Healthy adult participants performed semantic distance judgment tasks on five types of materials, including geometric terms, algebraic terms, linguistic terms, words for tools and other common objects, and Arabic numbers. Brain activation was measured with functional magnetic resonance imaging (fMRI). The results showed that geometric terms had greater activation than algebraic terms, linguistic terms and tool words in the horizontal IPS, but algebraic terms did not have greater activation than linguistic terms and tool words in this region. Arabic numbers showed greater activation than non-number materials (including geometric terms, algebraic terms, linguistic terms and tool words) in the bilateral IPS, right inferior frontal gyrus and bilateral middle frontal gyrus, but the non-number materials showed stronger activation in the left inferior frontal gyrus and left middle temporal gyrus. These results suggest that the brain area for the processing of numbers (the left IPS) seems to be involved in semantic processing of geometric terms, but not that of other mathematical terms such as algebraic terms. Both algebraic and geometric terms share similar brain organization with basic semantic processing in the left temporal and frontal regions.

[1]  S. Dehaene,et al.  Topographical Layout of Hand, Eye, Calculation, and Language-Related Areas in the Human Parietal Lobe , 2002, Neuron.

[2]  Roi Cohen Kadosh,et al.  Are numbers special? An overview of chronometric, neuroimaging, developmental and comparative studies of magnitude representation , 2008, Progress in Neurobiology.

[3]  K. Kucian,et al.  Impaired neural networks for approximate calculation in dyscalculic children: a functional MRI study , 2006, Behavioral and Brain Functions.

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

[5]  Avishai Henik,et al.  Are numbers special? The comparison systems of the human brain investigated by fMRI , 2005, Neuropsychologia.

[6]  M. Tarr,et al.  Spatial language and spatial representation , 1995, Cognition.

[7]  M. Petrides,et al.  Functional activation of the human brain during mental rotation , 1997, Neuropsychologia.

[8]  Kathryn M. McMillan,et al.  N‐back working memory paradigm: A meta‐analysis of normative functional neuroimaging studies , 2005, Human brain mapping.

[9]  Stanislas Dehaene,et al.  Cerebral Pathways for Calculation: Double Dissociation between Rote Verbal and Quantitative Knowledge of Arithmetic , 1997, Cortex.

[10]  Daniel Casasanto,et al.  Hemispheric specialization in prefrontal cortex: effects of verbalizability, imageability and meaning , 2003, Journal of Neurolinguistics.

[11]  Marinella Cappelletti,et al.  The Role of Right and Left Parietal Lobes in the Conceptual Processing of Numbers , 2009, Journal of Cognitive Neuroscience.

[12]  N. Kanwisher,et al.  Numerical Magnitude in the Human Parietal Lobe Tests of Representational Generality and Domain Specificity , 2004, Neuron.

[13]  Margarete Delazer,et al.  How specifically do we learn? Imaging the learning of multiplication and subtraction , 2006, NeuroImage.

[14]  G. Vingerhoets,et al.  MRI language dominance assessment in epilepsy patients at 1.0 T: region of interest analysis and comparison with intracarotid amytal testing , 2004, Neuroradiology.

[15]  Michael Andres,et al.  Role of distinct parietal areas in arithmetic: An fMRI-guided TMS study , 2011, NeuroImage.

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

[17]  H. Diesfeldt,et al.  Progressive decline of semantic memory with preservation of number processing and calculation. , 1993, Behavioural neurology.

[18]  Frank Rösler,et al.  Frontal and parietal contributions to arithmetic fact retrieval: A parametric analysis of the problem‐size effect , 2011, Human brain mapping.

[19]  G. Vingerhoets,et al.  Regional Brain Activity during Different Paradigms of Mental Rotation in Healthy Volunteers: A Positron Emission Tomography Study , 2001, NeuroImage.

[20]  D. LeBihan,et al.  Brain anatomy in Turner syndrome: evidence for impaired social and spatial-numerical networks. , 2004, Cerebral cortex.

[21]  P. Fox,et al.  Neuroanatomical correlates of phonological processing of Chinese characters and alphabetic words: A meta‐analysis , 2005, Human brain mapping.

[22]  J. V. Bradley Complete Counterbalancing of Immediate Sequential Effects in a Latin Square Design , 1958 .

[23]  M. Herrmann,et al.  Common brain regions underlying different arithmetic operations as revealed by conjunct fMRI–BOLD activation , 2007, Brain Research.

[24]  E. Warrington,et al.  Preserved Calculation Skills in a Case of Semantic Dementia , 2002, Cortex.

[25]  S. Dehaene,et al.  Understanding dissociations in dyscalculia: a brain imaging study of the impact of number size on the cerebral networks for exact and approximate calculation. , 2000, Brain : a journal of neurology.

[26]  André Knops,et al.  A special role for numbers in working memory? An fMRI study , 2006, NeuroImage.

[27]  S. Petersen,et al.  Activation of extrastriate and frontal cortical areas by visual words and word-like stimuli. , 1990, Science.

[28]  P. Johnson-Laird,et al.  The mental representation of spatial descriptions , 1982, Memory & cognition.

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

[30]  Marinella Cappelletti,et al.  Why semantic dementia drives you to the dogs (but not to the horses): A theoretical account , 2002, Cognitive neuropsychology.

[31]  Mohamed L. Seghier,et al.  Laterality index in functional MRI: methodological issues☆ , 2008, Magnetic resonance imaging.

[32]  C. Price,et al.  Functional Neuroanatomy of the Semantic System: Divisible by What? , 1998, Journal of Cognitive Neuroscience.

[33]  Timothy Edward John Behrens,et al.  Response-Selection-Related Parietal Activation during Number Comparison , 2004, Journal of Cognitive Neuroscience.

[34]  Christa Neuper,et al.  To retrieve or to calculate? Left angular gyrus mediates the retrieval of arithmetic facts during problem solving , 2009, Neuropsychologia.

[35]  Mauro PESENTI,et al.  Neuroanatomical substrates of Arabic number processing, numerical comparison and simple addition: A PET study. , 1998, NeuroImage.

[36]  M. Delazer,et al.  Arithmetic Facts without Meaning , 1997, Cortex.

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

[38]  Domenico Passafiume,et al.  Calculation Disturbances in Adults with Focal Hemispheric Damage , 1982, Cortex.

[39]  Paul J. Laurienti,et al.  An automated method for neuroanatomic and cytoarchitectonic atlas-based interrogation of fMRI data sets , 2003, NeuroImage.

[40]  Marinella Cappelletti,et al.  Category specificity in reading and writing: the case of number words , 2001, Nature Neuroscience.

[41]  P T Fox,et al.  Brain activation in the processing of Chinese characters and words: A functional MRI study , 2000, Human brain mapping.

[42]  S. Dehaene,et al.  Functional and Structural Alterations of the Intraparietal Sulcus in a Developmental Dyscalculia of Genetic Origin , 2003, Neuron.

[43]  Isabel Gauthier,et al.  BOLD Activity during Mental Rotation and Viewpoint-Dependent Object Recognition , 2002, Neuron.

[44]  Stanislas Dehaene,et al.  Approximate quantities and exact number words: dissociable systems , 2003, Neuropsychologia.

[45]  Avishai Henik,et al.  Notation-Dependent and -Independent Representations of Numbers in the Parietal Lobes , 2007, Neuron.

[46]  E. Donnemiller,et al.  Knowing 7×8, but not the meaning of ‘elephant’: Evidence for the dissociation between numerical and non-numerical semantic knowledge , 2006, Neuropsychologia.

[47]  Elizabeth Jefferies,et al.  The role of the temporal lobe semantic system in number knowledge: evidence from late-stage semantic dementia , 2005, Neuropsychologia.

[48]  Elizabeth M Brannon,et al.  The representation of numerical magnitude , 2006, Current Opinion in Neurobiology.

[49]  Kyoung-Min Lee Cortical areas differentially involved in multiplication and subtraction: A functional magnetic resonance imaging study and correlation with a case of selective acalculia , 2000, Annals of neurology.

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

[51]  J. Gabrieli,et al.  The frontopolar cortex and human cognition: Evidence for a rostrocaudal hierarchical organization within the human prefrontal cortex , 2000, Psychobiology.

[52]  E K Warrington,et al.  The Fractionation of Arithmetical Skills: A Single Case Study , 1982, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[53]  J. Booth,et al.  Distinct representations of subtraction and multiplication in the neural systems for numerosity and language , 2011, Human brain mapping.

[54]  Leslie G. Ungerleider,et al.  Neural correlates of category-specific knowledge , 1996, Nature.

[55]  H. Heinze,et al.  Cortical Activations during the Mental Rotation of Different Visual Objects , 2001, NeuroImage.

[56]  D G Gadian,et al.  Calculation difficulties in children of very low birthweight: a neural correlate. , 2001, Brain : a journal of neurology.

[57]  Carlo Caltagirone,et al.  (Category-specific) semantic deficit in Alzheimer's patients: The role of semantic distance , 2006, Neuropsychologia.

[58]  Oliver Tucha,et al.  Toe agnosia in Gerstmann syndrome , 1997, Journal of neurology, neurosurgery, and psychiatry.

[59]  Elizabeth Jefferies,et al.  A category-specific advantage for numbers in verbal short-term memory: Evidence from semantic dementia , 2004, Neuropsychologia.

[60]  Margot J. Taylor,et al.  Is 2+2=4? Meta-analyses of brain areas needed for numbers and calculations , 2011, NeuroImage.

[61]  A. Kleinschmidt,et al.  A Supramodal Number Representation in Human Intraparietal Cortex , 2003, Neuron.

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

[63]  Marinella Cappelletti,et al.  Spared numerical abilities in a case of semantic dementia , 2001, Neuropsychologia.

[64]  Stanislas Dehaene,et al.  Cerebral activations during number multiplication and comparison: a PET study , 1996, Neuropsychologia.

[65]  M. Chee,et al.  Mandarin and English Single Word Processing Studied with Functional Magnetic Resonance Imaging , 1999, The Journal of Neuroscience.

[66]  G Denes,et al.  Concepts and facts in calculation. , 1994, Brain : a journal of neurology.

[67]  Michael von Aster,et al.  Optimized voxel-based morphometry in children with developmental dyscalculia , 2008, NeuroImage.

[68]  R. Frackowiak,et al.  Demonstrating the implicit processing of visually presented words and pseudowords. , 1996, Cerebral cortex.

[69]  Jian Kong,et al.  The neural substrate of arithmetic operations and procedure complexity. , 2005, Brain research. Cognitive brain research.

[70]  M. Delazer,et al.  Learning complex arithmetic--an fMRI study. , 2003, Brain research. Cognitive brain research.

[71]  Soon Chun Siong,et al.  Parametric effects of numerical distance on the intraparietal sulcus during passive viewing of rapid numerosity changes , 2006, Brain Research.

[72]  Nicolas Costes,et al.  Task-independent semantic activation for numbers and animals. , 2005, Brain research. Cognitive brain research.

[73]  Laure Zago,et al.  How verbal and spatial manipulation networks contribute to calculation: An fMRI study , 2008, Neuropsychologia.

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

[75]  D. Perani,et al.  The Effects of Semantic Category and Knowledge Type on Lexical-Semantic Access: A PET Study , 1998, NeuroImage.

[76]  J. A. Frost,et al.  Language dominance in neurologically normal and epilepsy subjects , 1999 .

[77]  Chris Rorden,et al.  Improving Lesion-Symptom Mapping , 2007, Journal of Cognitive Neuroscience.

[78]  Á. Pascual-Leone,et al.  Enhanced visual spatial attention ipsilateral to rTMS-induced 'virtual lesions' of human parietal cortex , 2001, Nature Neuroscience.

[79]  M. Just,et al.  Graded Functional Activation in the Visuospatial System with the Amount of Task Demand , 1999, Journal of Cognitive Neuroscience.

[80]  André Vandierendonck,et al.  The development of strategy use in elementary school children: working memory and individual differences. , 2007, Journal of experimental child psychology.

[81]  Elizabeth Jefferies,et al.  Heterogeneity of the Left Temporal Lobe in Semantic Representation and Control: Priming Multiple versus Single Meanings of Ambiguous Words , 2010, Cerebral cortex.

[82]  D. Le Bihan,et al.  Distinct Cortical Areas for Names of Numbers and Body Parts Independent of Language and Input Modality , 2000, NeuroImage.

[83]  高山 吉弘 Isolated acalculia due to left parietal lesion , 1994 .

[84]  Gianfranco Denes,et al.  Door But not Four and 4 a Category Specific Transcoding Deficit in a Pure Acalculic Patient , 2001, Cortex.

[85]  Y. T. Wu,et al.  A left-lateralized network for reading Chinese words: a 3 T fMRI study , 2001, Neuroreport.

[86]  Lisa Cipolotti,et al.  Are multiplication facts implemented by the left supramarginal and angular gyri? , 2002, Neuropsychologia.

[87]  Marinella Cappelletti,et al.  Dissociations in numerical abilities revealed by progressive cognitive decline in a patient with semantic dementia , 2005, Cognitive neuropsychology.

[88]  J. Desmond,et al.  Functional Specialization for Semantic and Phonological Processing in the Left Inferior Prefrontal Cortex , 1999, NeuroImage.

[89]  Xinlin Zhou,et al.  Dissociated brain organization for single-digit addition and multiplication , 2007, NeuroImage.

[90]  Po-Lei Lee,et al.  Orthographic and phonological processing of Chinese characters: an fMRI study , 2004, NeuroImage.

[91]  S. Dehaene,et al.  Differential Contributions of the Left and Right Inferior Parietal Lobules to Number Processing , 1999, Journal of Cognitive Neuroscience.