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Interference and problem size effect in multiplication fact solving: Individual differences in brain activations and

Alice De Visscher1, Stephan E Vogel2, Gernot Reishofer3

  • 1Université catholique de Louvain, Belgium.

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Summary
This summary is machine-generated.

Individual differences in math ability are linked to how the brain processes interference from similar multiplication problems. High interference in the left inferior frontal gyrus correlates with lower arithmetic fluency in adults.

Keywords:
Arithmetic factIndividual differencesInterferenceLearningMathematicsNumerical cognition

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Area of Science:

  • Cognitive Neuroscience
  • Educational Psychology
  • Neuroimaging

Background:

  • Individual differences in arithmetic ability, particularly in multiplication, are significant but not fully explained.
  • The problem size effect and interference effect are known behavioral phenomena in multiplication fact retrieval.
  • Interference effect sensitivity is linked to individual differences in multiplication performance in children and adults.

Purpose of the Study:

  • To investigate the neural basis of individual differences in multiplication ability.
  • To examine the relationship between neural interference and problem size effects and arithmetic fluency.
  • To identify brain regions associated with these effects using functional magnetic resonance imaging (fMRI).

Main Methods:

  • An fMRI study was conducted with 42 healthy adults exhibiting variable arithmetic fluency.
  • A multiplication verification task was used, designed to contrast interference and problem size effects.
  • Individual differences in arithmetic fluency were assessed, with IQ controlled for in analyses.

Main Results:

  • A significant neural interference effect was observed in the left inferior frontal gyrus, correlating negatively with arithmetic fluency.
  • Higher interference in this region was associated with lower performance in multiplication tasks.
  • No significant correlation was found between the neural problem size effect and individual differences in multiplication performance.

Conclusions:

  • The study highlights the role of neural interference, specifically proactive interference from similar problem features (digits), in arithmetic fact memorization.
  • The left inferior frontal gyrus is implicated in resolving this neural interference, explaining individual differences in multiplication skills.
  • Interference, rather than problem size, appears to be a critical factor in understanding variations in arithmetic ability.