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Matthias Ihrke1, Jörg Behrendt, Hecke Schrobsdorff

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Summary
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This study explored how Arabic speakers process two-digit numbers across different numeral systems. Findings suggest an abstract magnitude representation exists, regardless of notation, influencing numerical and physical comparisons.

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Area of Science:

  • Cognitive Psychology
  • Numerical Cognition
  • Cross-Cultural Psychology

Background:

  • Arabic speakers utilize both Arabic and Indian numerical symbols.
  • Understanding numerical processing across different notations is crucial for cognitive science.
  • Previous research established effects of numerical properties on comparison tasks with Arabic digits.

Purpose of the Study:

  • To investigate the existence of across-notation automatic numerical processing of two-digit numbers.
  • To examine how numerical and physical comparison tasks are influenced by number notation.
  • To determine if a common abstract representation of magnitude exists for numbers presented in different notations.

Main Methods:

  • Utilized size comparison tasks involving pairs of two-digit numbers.
  • Participants were Arabic speakers, presented with numbers in same-notation and mixed-notation pairs.
  • Measured response times and accuracy in numerical and physical comparison tasks.

Main Results:

  • Numerical comparison was affected by decade difference, unit-decade compatibility, and global distance, consistent across notations.
  • Physical comparison showed a size congruency effect (SiCE), influenced by unit-decade compatibility but not global distance.
  • The SiCE suggests automatic translation of unit and decade digits into a common magnitude representation.

Conclusions:

  • Results support the existence of an abstract representation of numerical magnitude, independent of specific notation.
  • This abstract representation is accessed automatically during number processing.
  • Unit-decade compatibility plays a role in forming this abstract magnitude representation.