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Indexing the approximate number system.

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This summary is machine-generated.

Researchers found that accuracy measures are more reliable for assessing the approximate number system (ANS) than Weber fractions or numerical ratio effects. These findings suggest using accuracy for future studies on mathematical competence.

Keywords:
23402343Approximate number systemMathematicsNumerical cognition

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Area of Science:

  • Cognitive Science
  • Psychology
  • Mathematics

Background:

  • The approximate number system (ANS) is crucial for mathematical competence.
  • Previous research assumed different ANS acuity indices measure similar properties.
  • Four main indices of ANS acuity have been commonly used.

Purpose of the Study:

  • To question the assumption that different ANS acuity indices measure similar properties.
  • To evaluate the reliability and validity of common ANS acuity measures.
  • To provide recommendations for future research on individual differences in ANS acuity.

Main Methods:

  • Assessed test-retest reliability of the numerical ratio effect and Weber fractions.
  • Examined the relationship between numerical ratio effect, Weber fractions, and accuracy on nonsymbolic comparison tasks.
  • Analyzed the distribution of Weber fractions.

Main Results:

  • The numerical ratio effect demonstrated poor test-retest reliability.
  • Weber fractions showed lower test-retest reliability compared to accuracy measures.
  • Weber fractions exhibited a strongly skewed distribution.
  • The numerical ratio effect did not correlate with Weber fractions or nonsymbolic comparison accuracy.

Conclusions:

  • Accuracy measures are more reliable and valid for indexing individual differences in ANS acuity.
  • Weber fractions and numerical ratio effects are less suitable for assessing ANS acuity.
  • Future research should prioritize using accuracy figures for ANS acuity studies.