Literature DB >> 18596607

Integral calculus problem solving: an fMRI investigation.

Frank Krueger1, Maria Vittoria Spampinato, Matteo Pardini, Sinisa Pajevic, Jacqueline N Wood, George H Weiss, Steffen Landgraf, Jordan Grafman.   

Abstract

Only a subset of adults acquires specific advanced mathematical skills, such as integral calculus. The representation of more sophisticated mathematical concepts probably evolved from basic number systems; however its neuroanatomical basis is still unknown. Using fMRI, we investigated the neural basis of integral calculus while healthy participants were engaged in an integration verification task. Solving integrals activated a left-lateralized cortical network including the horizontal intraparietal sulcus, posterior superior parietal lobe, posterior cingulate gyrus, and dorsolateral prefrontal cortex. Our results indicate that solving of more abstract and sophisticated mathematical facts, such as calculus integrals, elicits a pattern of brain activation similar to the cortical network engaged in basic numeric comparison, quantity manipulation, and arithmetic problem solving.

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Year:  2008        PMID: 18596607      PMCID: PMC2648849          DOI: 10.1097/WNR.0b013e328303fd85

Source DB:  PubMed          Journal:  Neuroreport        ISSN: 0959-4965            Impact factor:   1.837


  23 in total

Review 1.  An integrative theory of prefrontal cortex function.

Authors:  E K Miller; J D Cohen
Journal:  Annu Rev Neurosci       Date:  2001       Impact factor: 12.449

2.  The calculating brain: an fMRI study.

Authors:  T C Rickard; S G Romero; G Basso; C Wharton; S Flitman; J Grafman
Journal:  Neuropsychologia       Date:  2000       Impact factor: 3.139

3.  Neuroanatomical substrates of arabic number processing, numerical comparison, and simple addition: a PET study.

Authors:  M Pesenti; M Thioux; X Seron; A De Volder
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4.  Neural correlates of simple and complex mental calculation.

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5.  Behavioral equivalence, but not neural equivalence--neural evidence of alternative strategies in mathematical thinking.

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6.  Three parietal circuits for number processing.

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8.  Visuospatial working memory and changes of the point of view in 3D space.

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9.  Metabolic abnormalities detected by 1H-MRS in dyscalculia and dysgraphia.

Authors:  L M Levy; I L Reis; J Grafman
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10.  Functional and structural alterations of the intraparietal sulcus in a developmental dyscalculia of genetic origin.

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Journal:  Neuron       Date:  2003-11-13       Impact factor: 17.173

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  13 in total

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4.  Metaphorical motion in mathematical reasoning: further evidence for pre-motor implementation of structure mapping in abstract domains.

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Journal:  Cogn Process       Date:  2013-03-05

Review 5.  Meta-analytic evidence for a core problem solving network across multiple representational domains.

Authors:  Jessica E Bartley; Emily R Boeving; Michael C Riedel; Katherine L Bottenhorn; Taylor Salo; Simon B Eickhoff; Eric Brewe; Matthew T Sutherland; Angela R Laird
Journal:  Neurosci Biobehav Rev       Date:  2018-06-23       Impact factor: 8.989

6.  Cognitive and metacognitive activity in mathematical problem solving: prefrontal and parietal patterns.

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7.  Functional heterogeneity of inferior parietal cortex during mathematical cognition assessed with cytoarchitectonic probability maps.

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8.  Fluid intelligence allows flexible recruitment of the parieto-frontal network in analogical reasoning.

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9.  Brain networks supporting execution of mathematical skills versus acquisition of new mathematical competence.

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10.  "To see or not to see: that is the question." The "Protection-Against-Schizophrenia" (PaSZ) model: evidence from congenital blindness and visuo-cognitive aberrations.

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Journal:  Front Psychol       Date:  2013-07-01
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