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The Semantic System Supports the Processing of Mathematical Principles.

Jie Liu1, Li Yuan2, Chuansheng Chen3

  • 1State Key Laboratory of Cognitive Neuroscience and Learning & IDG/McGovern Institute for Brain Research, Beijing Normal University, Beijing, China; College of Psychology and Sociology, Shenzhen University, Shenzhen, China; Advanced Innovation Center for Future Education, Beijing Normal University, Beijing, China.

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The brain

Keywords:
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Area of Science:

  • Neuroscience
  • Cognitive Science
  • Psychology

Background:

  • The intraparietal sulcus is known for numerical processing, but neural bases for mathematical principles remain unclear.
  • Understanding the neural correlates of mathematical principles is crucial for cognitive neuroscience.
  • Distinguishing brain activity for abstract principles versus computation is an active research area.

Purpose of the Study:

  • To investigate the distinct neural mechanisms underlying the processing of mathematical principles compared to arithmetic computation.
  • To compare activation intensity, multi-voxel patterns, and functional connectivity (FC) between mathematical principles and computation.
  • To identify specific brain regions and networks involved in abstract mathematical reasoning.

Main Methods:

  • Functional magnetic resonance imaging (fMRI) was used to scan 20 healthy undergraduates.
  • Participants engaged in tasks involving mathematical principles (arithmetic and logic) and arithmetic computation.
  • Analyses included whole-brain univariate analysis, multi-voxel pattern analysis, and psychophysiological interaction (PPI) for FC.

Main Results:

  • The left angular gyrus (AG) showed significantly higher activation for mathematical principles than computation.
  • Distinct multi-voxel activation patterns were observed in the left middle temporal gyrus (MTG) between the two conditions.
  • Increased functional connectivity was found between the left MTG and intraparietal sulcus (IPS), left MTG and left inferior frontal cortex (IFG), and IPS and left AG during mathematical principle processing.

Conclusions:

  • The left AG, MTG, and IFG are critical for processing mathematical principles, extending beyond basic numerical tasks.
  • These findings highlight the involvement of the semantic system (including AG, MTG, and IFG) in abstract mathematical reasoning.
  • The study provides evidence for distinct neural networks supporting mathematical principles and computation, with implications for understanding mathematical cognition.