The cortical representation of simple mathematical expressions

Autores
Maruyama, Masaki; Pallier, Christophe; Jobert, Antoinette; Sigman, Mariano; Dehaene, Stanislas
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Written mathematical notation conveys, in a compact visual form, the nested functional relations among abstract concepts such as operators, numbers or sets. Is the comprehension of mathematical expressions derived from the human capacity for processing the recursive structure of language? Or does algebraic processing rely only on a language-independent network, jointly involving the visual system for parsing the string of mathematical symbols and the intraparietal system for representing numbers and operators? We tested these competing hypotheses by scanning mathematically trained adults while they viewed simple strings ranging from randomly arranged characters to mathematical expressions with up to three levels of nested parentheses. Syntactic effects were observed in behavior and in brain activation measured with functional magnetic resonance imaging (fMRI) and magneto-encephalography (MEG). Bilateral occipito-temporal cortices and right parietal and precentral cortices appeared as the primary nodes for mathematical syntax. MEG estimated that a mathematical expression could be parsed by posterior visual regions in less than 180. ms. Nevertheless, a small increase in activation with increasing expression complexity was observed in linguistic regions of interest, including the left inferior frontal gyrus and the posterior superior temporal sulcus. We suggest that mathematical syntax, although arising historically from language competence, becomes "compiled" into visuo-spatial areas in well-trained mathematics students. © 2012 Elsevier Inc.
Fil: Maruyama, Masaki. Inserm; Francia
Fil: Pallier, Christophe. Inserm; Francia
Fil: Jobert, Antoinette. Inserm; Francia
Fil: Sigman, Mariano. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física. Laboratorio de Neurociencia Integrativa; Argentina
Fil: Dehaene, Stanislas. Inserm; Francia
Materia
Functional Magnetic Resonance Imaging
Language
Magnetoencephalography
Mathematics
Syntax
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/78208
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/78208
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The cortical representation of simple mathematical expressionsMaruyama, MasakiPallier, ChristopheJobert, AntoinetteSigman, MarianoDehaene, StanislasFunctional Magnetic Resonance ImagingLanguageMagnetoencephalographyMathematicsSyntaxWritten mathematical notation conveys, in a compact visual form, the nested functional relations among abstract concepts such as operators, numbers or sets. Is the comprehension of mathematical expressions derived from the human capacity for processing the recursive structure of language? Or does algebraic processing rely only on a language-independent network, jointly involving the visual system for parsing the string of mathematical symbols and the intraparietal system for representing numbers and operators? We tested these competing hypotheses by scanning mathematically trained adults while they viewed simple strings ranging from randomly arranged characters to mathematical expressions with up to three levels of nested parentheses. Syntactic effects were observed in behavior and in brain activation measured with functional magnetic resonance imaging (fMRI) and magneto-encephalography (MEG). Bilateral occipito-temporal cortices and right parietal and precentral cortices appeared as the primary nodes for mathematical syntax. MEG estimated that a mathematical expression could be parsed by posterior visual regions in less than 180. ms. Nevertheless, a small increase in activation with increasing expression complexity was observed in linguistic regions of interest, including the left inferior frontal gyrus and the posterior superior temporal sulcus. We suggest that mathematical syntax, although arising historically from language competence, becomes "compiled" into visuo-spatial areas in well-trained mathematics students. © 2012 Elsevier Inc.Fil: Maruyama, Masaki. Inserm; FranciaFil: Pallier, Christophe. Inserm; FranciaFil: Jobert, Antoinette. Inserm; FranciaFil: Sigman, Mariano. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física. Laboratorio de Neurociencia Integrativa; ArgentinaFil: Dehaene, Stanislas. Inserm; FranciaAcademic Press Inc Elsevier Science2012-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/78208Maruyama, Masaki; Pallier, Christophe; Jobert, Antoinette; Sigman, Mariano; Dehaene, Stanislas; The cortical representation of simple mathematical expressions; Academic Press Inc Elsevier Science; Journal Neuroimag; 61; 4; 4-2012; 1444-14601053-8119CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.neuroimage.2012.04.020info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:00:26Zoai:ri.conicet.gov.ar:11336/78208instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:00:26.23CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The cortical representation of simple mathematical expressions
title The cortical representation of simple mathematical expressions
spellingShingle The cortical representation of simple mathematical expressions
Maruyama, Masaki
Functional Magnetic Resonance Imaging
Language
Magnetoencephalography
Mathematics
Syntax
title_short The cortical representation of simple mathematical expressions
title_full The cortical representation of simple mathematical expressions
title_fullStr The cortical representation of simple mathematical expressions
title_full_unstemmed The cortical representation of simple mathematical expressions
title_sort The cortical representation of simple mathematical expressions
dc.creator.none.fl_str_mv Maruyama, Masaki
Pallier, Christophe
Jobert, Antoinette
Sigman, Mariano
Dehaene, Stanislas
author Maruyama, Masaki
author_facet Maruyama, Masaki
Pallier, Christophe
Jobert, Antoinette
Sigman, Mariano
Dehaene, Stanislas
author_role author
author2 Pallier, Christophe
Jobert, Antoinette
Sigman, Mariano
Dehaene, Stanislas
author2_role author
author
author
author
dc.subject.none.fl_str_mv Functional Magnetic Resonance Imaging
Language
Magnetoencephalography
Mathematics
Syntax
topic Functional Magnetic Resonance Imaging
Language
Magnetoencephalography
Mathematics
Syntax
dc.description.none.fl_txt_mv Written mathematical notation conveys, in a compact visual form, the nested functional relations among abstract concepts such as operators, numbers or sets. Is the comprehension of mathematical expressions derived from the human capacity for processing the recursive structure of language? Or does algebraic processing rely only on a language-independent network, jointly involving the visual system for parsing the string of mathematical symbols and the intraparietal system for representing numbers and operators? We tested these competing hypotheses by scanning mathematically trained adults while they viewed simple strings ranging from randomly arranged characters to mathematical expressions with up to three levels of nested parentheses. Syntactic effects were observed in behavior and in brain activation measured with functional magnetic resonance imaging (fMRI) and magneto-encephalography (MEG). Bilateral occipito-temporal cortices and right parietal and precentral cortices appeared as the primary nodes for mathematical syntax. MEG estimated that a mathematical expression could be parsed by posterior visual regions in less than 180. ms. Nevertheless, a small increase in activation with increasing expression complexity was observed in linguistic regions of interest, including the left inferior frontal gyrus and the posterior superior temporal sulcus. We suggest that mathematical syntax, although arising historically from language competence, becomes "compiled" into visuo-spatial areas in well-trained mathematics students. © 2012 Elsevier Inc.
Fil: Maruyama, Masaki. Inserm; Francia
Fil: Pallier, Christophe. Inserm; Francia
Fil: Jobert, Antoinette. Inserm; Francia
Fil: Sigman, Mariano. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física. Laboratorio de Neurociencia Integrativa; Argentina
Fil: Dehaene, Stanislas. Inserm; Francia
description Written mathematical notation conveys, in a compact visual form, the nested functional relations among abstract concepts such as operators, numbers or sets. Is the comprehension of mathematical expressions derived from the human capacity for processing the recursive structure of language? Or does algebraic processing rely only on a language-independent network, jointly involving the visual system for parsing the string of mathematical symbols and the intraparietal system for representing numbers and operators? We tested these competing hypotheses by scanning mathematically trained adults while they viewed simple strings ranging from randomly arranged characters to mathematical expressions with up to three levels of nested parentheses. Syntactic effects were observed in behavior and in brain activation measured with functional magnetic resonance imaging (fMRI) and magneto-encephalography (MEG). Bilateral occipito-temporal cortices and right parietal and precentral cortices appeared as the primary nodes for mathematical syntax. MEG estimated that a mathematical expression could be parsed by posterior visual regions in less than 180. ms. Nevertheless, a small increase in activation with increasing expression complexity was observed in linguistic regions of interest, including the left inferior frontal gyrus and the posterior superior temporal sulcus. We suggest that mathematical syntax, although arising historically from language competence, becomes "compiled" into visuo-spatial areas in well-trained mathematics students. © 2012 Elsevier Inc.
publishDate 2012
dc.date.none.fl_str_mv 2012-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/78208
Maruyama, Masaki; Pallier, Christophe; Jobert, Antoinette; Sigman, Mariano; Dehaene, Stanislas; The cortical representation of simple mathematical expressions; Academic Press Inc Elsevier Science; Journal Neuroimag; 61; 4; 4-2012; 1444-1460
1053-8119
CONICET Digital
CONICET
url http://hdl.handle.net/11336/78208
identifier_str_mv Maruyama, Masaki; Pallier, Christophe; Jobert, Antoinette; Sigman, Mariano; Dehaene, Stanislas; The cortical representation of simple mathematical expressions; Academic Press Inc Elsevier Science; Journal Neuroimag; 61; 4; 4-2012; 1444-1460
1053-8119
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.neuroimage.2012.04.020
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.48226

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