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Dynamic mental number line in simple arithmetic.

Xiaodan Yu1,2, Jie Liu1, Dawei Li3

  • 1State Key Laboratory of Cognitive Neuroscience and Learning and IDG/McGovern Institute for Brain Research, Siegler Center for Innovative Learning, Beijing Normal University, Beijing, 100875, China.

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Summary
This summary is machine-generated.

Eye movements during arithmetic reveal a dynamic mental number line. The direction of eye movements shifts based on operand magnitude, suggesting eyes track numerical solutions.

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Area of Science:

  • Cognitive psychology
  • Neuroscience
  • Mathematical cognition

Background:

  • Spatial-numerical associations are documented in arithmetic.
  • Previous research suggests a static mental number line (MNL) model for arithmetic operations.
  • Addition shifts spatial attention rightward; subtraction shifts it leftward.

Purpose of the Study:

  • To test the dynamic mental number line (MNL) hypothesis in simple arithmetic.
  • To investigate if the relative magnitudes of operands shape the MNL.
  • To determine if eye movements reflect a dynamic MNL during calculation.

Main Methods:

  • Recorded horizontal and vertical electrooculograms (HEOG and VEOG) during simple arithmetic tasks.
  • Analyzed eye movement direction in relation to operand magnitudes.
  • Compared eye movements for addition versus subtraction and for different operand orders.

Main Results:

  • Subtraction yielded larger rightward eye movements than addition.
  • Smaller-operand-first addition (e.g., 2+9) showed greater rightward eye movement than larger-operand-first addition (e.g., 9+2) with large operand differences.
  • Eye movement direction was dependent on the relative magnitudes of the operands.

Conclusions:

  • The mental number line (MNL) appears dynamic during simple arithmetic.
  • Eye movements track along this dynamic MNL to facilitate solution searching.
  • Operand magnitude significantly influences spatial attention and eye movements in arithmetic.