Brain correlates of mathematical competence in processing mathematical representations

The ability to extract numerical information from different representation formats (e.g., equations, tables, or diagrams) is a key component of mathematical competence but little is known about its neural correlate. Previous studies comparing mathematically less and more competent adults have focuse...

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Main Authors: Roland H. Grabner, Gernot eReishofer, Karl eKoschutnig, Franz eEbner
Format: Article
Language:English
Published: Frontiers Media S.A. 2011-11-01
Series:Frontiers in Human Neuroscience
Subjects:
Online Access:http://journal.frontiersin.org/Journal/10.3389/fnhum.2011.00130/full
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spelling doaj-64701e9f1d764eca95b46731183a3cf62020-11-25T02:02:58ZengFrontiers Media S.A.Frontiers in Human Neuroscience1662-51612011-11-01510.3389/fnhum.2011.0013015513Brain correlates of mathematical competence in processing mathematical representationsRoland H. Grabner0Gernot eReishofer1Karl eKoschutnig2Karl eKoschutnig3Franz eEbner4Swiss Federal Institute of Technology (ETH) ZurichMedical University of GrazMedical UIniversity of GrazUniversity of GrazMedical UIniversity of GrazThe ability to extract numerical information from different representation formats (e.g., equations, tables, or diagrams) is a key component of mathematical competence but little is known about its neural correlate. Previous studies comparing mathematically less and more competent adults have focused on mental arithmetic and reported differences in left angular gyrus activity which were interpreted to reflect differential reliance on arithmetic fact retrieval during problem solving. The aim of the present functional magnetic resonance imaging (fMRI) study was to investigate the brain correlates of mathematical competence in a task requiring the processing of typical mathematical representations. Twenty-eight adults of lower and higher mathematical competence worked on a representation matching task in which they had to evaluate whether the numerical information of a symbolic equation matches that of a bar chart. Two task conditions without and one condition with arithmetic demands were administered. Both competence groups performed equally well in the non-arithmetic conditions and only differed in accuracy in the condition requiring calculation. Activation contrasts between the groups revealed consistently stronger left angular gyrus activation in the more competent individuals across all three task conditions. The finding of competence-related activation differences independently of arithmetic demands suggests that more and less competent individuals differ in a cognitive process other than arithmetic fact retrieval. Specifically, it is argued that the stronger left angular gyrus activity in the more competent adults may reflect their higher proficiency in processing mathematical symbols. Moreover, the study demonstrates competence-related parietal activation differences that were not accompanied by differential experimental performance.http://journal.frontiersin.org/Journal/10.3389/fnhum.2011.00130/fullfMRIArithmeticangular gyrusfact retrievalmathematical competencesymbol-referent mapping
collection DOAJ
language English
format Article
sources DOAJ
author Roland H. Grabner
Gernot eReishofer
Karl eKoschutnig
Karl eKoschutnig
Franz eEbner
spellingShingle Roland H. Grabner
Gernot eReishofer
Karl eKoschutnig
Karl eKoschutnig
Franz eEbner
Brain correlates of mathematical competence in processing mathematical representations
Frontiers in Human Neuroscience
fMRI
Arithmetic
angular gyrus
fact retrieval
mathematical competence
symbol-referent mapping
author_facet Roland H. Grabner
Gernot eReishofer
Karl eKoschutnig
Karl eKoschutnig
Franz eEbner
author_sort Roland H. Grabner
title Brain correlates of mathematical competence in processing mathematical representations
title_short Brain correlates of mathematical competence in processing mathematical representations
title_full Brain correlates of mathematical competence in processing mathematical representations
title_fullStr Brain correlates of mathematical competence in processing mathematical representations
title_full_unstemmed Brain correlates of mathematical competence in processing mathematical representations
title_sort brain correlates of mathematical competence in processing mathematical representations
publisher Frontiers Media S.A.
series Frontiers in Human Neuroscience
issn 1662-5161
publishDate 2011-11-01
description The ability to extract numerical information from different representation formats (e.g., equations, tables, or diagrams) is a key component of mathematical competence but little is known about its neural correlate. Previous studies comparing mathematically less and more competent adults have focused on mental arithmetic and reported differences in left angular gyrus activity which were interpreted to reflect differential reliance on arithmetic fact retrieval during problem solving. The aim of the present functional magnetic resonance imaging (fMRI) study was to investigate the brain correlates of mathematical competence in a task requiring the processing of typical mathematical representations. Twenty-eight adults of lower and higher mathematical competence worked on a representation matching task in which they had to evaluate whether the numerical information of a symbolic equation matches that of a bar chart. Two task conditions without and one condition with arithmetic demands were administered. Both competence groups performed equally well in the non-arithmetic conditions and only differed in accuracy in the condition requiring calculation. Activation contrasts between the groups revealed consistently stronger left angular gyrus activation in the more competent individuals across all three task conditions. The finding of competence-related activation differences independently of arithmetic demands suggests that more and less competent individuals differ in a cognitive process other than arithmetic fact retrieval. Specifically, it is argued that the stronger left angular gyrus activity in the more competent adults may reflect their higher proficiency in processing mathematical symbols. Moreover, the study demonstrates competence-related parietal activation differences that were not accompanied by differential experimental performance.
topic fMRI
Arithmetic
angular gyrus
fact retrieval
mathematical competence
symbol-referent mapping
url http://journal.frontiersin.org/Journal/10.3389/fnhum.2011.00130/full
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