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Investigating the Approximate Number System (ANS), this study reveals that number-line tasks may not accurately reflect how we map symbolic numbers to nonsymbolic quantities. Different tasks yield varied results, impacting theories of numerical cognition.

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Area of Science:

  • Cognitive Psychology
  • Numerical Cognition
  • Psychophysics

Background:

  • The Approximate Number System (ANS) enables estimation of nonsymbolic quantities without counting.
  • Theories suggest symbolic number understanding relies on mapping symbols to ANS representations.
  • Number-line tasks are common for studying this mapping but may involve proportion judgment.

Purpose of the Study:

  • To assess performance on nonsymbolic tasks that more directly interface with the ANS.
  • To compare adults' performance on number-line, free estimation, and ratio estimation tasks using dot arrays.
  • To investigate how task constraints influence the mapping of nonsymbolic magnitudes.

Main Methods:

  • Adult participants (n=31) completed three tasks with nonsymbolic dot arrays: number-line placement, free estimation, and ratio estimation.
  • Performance was analyzed for differences in magnitude representation and psychophysical error patterns.
  • Stimuli involved nonsymbolic numerosities presented as dot arrays.

Main Results:

  • Number-line and ratio estimation tasks did not show the scalar variability characteristic of the free estimation task.
  • Participants exhibited typical underestimation in the free estimation task but high accuracy in the ratio task.
  • Task constraints significantly altered mapping performance compared to direct ANS magnitude assessments.

Conclusions:

  • Number-line and ratio estimation tasks may not fully capture the direct mapping of symbolic to nonsymbolic numbers.
  • Task design is crucial when evaluating theories of numerical cognition and the ANS.
  • Findings have implications for understanding the relationship between ANS magnitudes and symbolic number representations.