Advanced search
2 files | 4.92 MB Add to list

Distinguishing between cognitive explanations of the problem size effect in mental arithmetic via representational similarity analysis of fMRI data

Author
Organization
Abstract
Not all researchers interested in human behavior remain convinced that modern neuroimaging techniques have much to contribute to distinguishing between competing cognitive models for explaining human behavior, especially if one removes reverse inference from the table. Here, we took up this challenge in an attempt to distinguish between two competing accounts of the problem size effect (PSE), a robust finding in investigations of mathematical cognition. The PSE occurs when people solve arithmetic problems and indicates that numerically large problems are solved more slowly and erroneously than small problems. Neurocognitive explanations for the PSE can be categorized into representation-based and process-based views. Behavioral and traditional univariate neural measures have struggled to distinguish between these accounts. By contrast, a representational similarity analysis (RSA) approach with fMRI data provides competing hypotheses that can distinguish between accounts without recourse to reverse inference. To that end, our RSA (but not univariate) results provided clear evidence in favor of the representation-based over the process-based account of the PSE in multiplication; for addition, the results were less clear. Post-hoc similarity analysis distinguished still further between competing representation-based theoretical accounts. Namely, data favored the notion that individual multiplication problems are stored as individual memory traces sensitive to input frequency over a strictly magnitude-based account of memory encoding. Together, these results provide an example of how human neuroimaging evidence can directly inform cognitive-level explanations of a common behavioral phenomenon, the problem size effect. More broadly, these data may expand our understanding of calculation and memory systems in general.
Keywords
MULTIPLICATION, ACTIVATION, SELECTION, PARITY, BRAIN

Downloads

  • Tiberghien et al in press Neuropsychologia Distinguishing between Cognitive Explanations of the Problem Size Effect in Mental Arithmetic via RSA of fMRI Data SI .pdf
    • full text (Accepted manuscript)
    • |
    • open access
    • |
    • PDF
    • |
    • 2.98 MB
  • (...).pdf
    • full text (Published version)
    • |
    • UGent only
    • |
    • PDF
    • |
    • 1.93 MB

Citation

Please use this url to cite or link to this publication:

MLA
tiberghien, Kerensa, et al. “Distinguishing between Cognitive Explanations of the Problem Size Effect in Mental Arithmetic via Representational Similarity Analysis of FMRI Data.” NEUROPSYCHOLOGIA, vol. 132, 2019, doi:10.1016/j.neuropsychologia.2019.107120.
APA
tiberghien, K., De Smedt, B., Fias, W., & Lyons, I. M. (2019). Distinguishing between cognitive explanations of the problem size effect in mental arithmetic via representational similarity analysis of fMRI data. NEUROPSYCHOLOGIA, 132. https://doi.org/10.1016/j.neuropsychologia.2019.107120
Chicago author-date
tiberghien, Kerensa, Bert De Smedt, Wim Fias, and Ian M. Lyons. 2019. “Distinguishing between Cognitive Explanations of the Problem Size Effect in Mental Arithmetic via Representational Similarity Analysis of FMRI Data.” NEUROPSYCHOLOGIA 132. https://doi.org/10.1016/j.neuropsychologia.2019.107120.
Chicago author-date (all authors)
tiberghien, Kerensa, Bert De Smedt, Wim Fias, and Ian M. Lyons. 2019. “Distinguishing between Cognitive Explanations of the Problem Size Effect in Mental Arithmetic via Representational Similarity Analysis of FMRI Data.” NEUROPSYCHOLOGIA 132. doi:10.1016/j.neuropsychologia.2019.107120.
Vancouver
1.
tiberghien K, De Smedt B, Fias W, Lyons IM. Distinguishing between cognitive explanations of the problem size effect in mental arithmetic via representational similarity analysis of fMRI data. NEUROPSYCHOLOGIA. 2019;132.
IEEE
[1]
K. tiberghien, B. De Smedt, W. Fias, and I. M. Lyons, “Distinguishing between cognitive explanations of the problem size effect in mental arithmetic via representational similarity analysis of fMRI data,” NEUROPSYCHOLOGIA, vol. 132, 2019.
@article{8651378,
  abstract     = {{Not all researchers interested in human behavior remain convinced that modern neuroimaging techniques have much to contribute to distinguishing between competing cognitive models for explaining human behavior, especially if one removes reverse inference from the table. Here, we took up this challenge in an attempt to distinguish between two competing accounts of the problem size effect (PSE), a robust finding in investigations of mathematical cognition. The PSE occurs when people solve arithmetic problems and indicates that numerically large problems are solved more slowly and erroneously than small problems. Neurocognitive explanations for the PSE can be categorized into representation-based and process-based views. Behavioral and traditional univariate neural measures have struggled to distinguish between these accounts. By contrast, a representational similarity analysis (RSA) approach with fMRI data provides competing hypotheses that can distinguish between accounts without recourse to reverse inference. To that end, our RSA (but not univariate) results provided clear evidence in favor of the representation-based over the process-based account of the PSE in multiplication; for addition, the results were less clear. Post-hoc similarity analysis distinguished still further between competing representation-based theoretical accounts. Namely, data favored the notion that individual multiplication problems are stored as individual memory traces sensitive to input frequency over a strictly magnitude-based account of memory encoding. Together, these results provide an example of how human neuroimaging evidence can directly inform cognitive-level explanations of a common behavioral phenomenon, the problem size effect. More broadly, these data may expand our understanding of calculation and memory systems in general.}},
  articleno    = {{107120}},
  author       = {{tiberghien, Kerensa and De Smedt, Bert and Fias, Wim and Lyons, Ian M.}},
  issn         = {{0028-3932}},
  journal      = {{NEUROPSYCHOLOGIA}},
  keywords     = {{MULTIPLICATION,ACTIVATION,SELECTION,PARITY,BRAIN}},
  language     = {{eng}},
  pages        = {{12}},
  title        = {{Distinguishing between cognitive explanations of the problem size effect in mental arithmetic via representational similarity analysis of fMRI data}},
  url          = {{http://dx.doi.org/10.1016/j.neuropsychologia.2019.107120}},
  volume       = {{132}},
  year         = {{2019}},
}

Altmetric
View in Altmetric
Web of Science
Times cited: