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What basic number processing measures in kindergarten explain unique variability in first-grade arithmetic

Dimona Bartelet1, Anniek Vaessen, Leo Blomert

  • 1Top Institute for Evidence Based Education Research, Maastricht University, 6200 MD Maastricht, The Netherlands.

Journal of Experimental Child Psychology
|October 17, 2013
PubMed
Summary
This summary is machine-generated.

Early math skills matter for arithmetic fluency. Kindergarteners' ability to process symbolic numbers, like digits, uniquely predicts first-grade math success, regardless of their initial math level.

Keywords:
Arithmetic proficiencyElementary schoolNon-symbolic number processing skillsSymbolic number processing skillsTask-specific effectsUnique predictors

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Area of Science:

  • Cognitive Psychology
  • Developmental Psychology
  • Educational Psychology

Background:

  • Children's mathematics achievement is linked to basic number processing skills.
  • Unresolved questions remain regarding which specific kindergarten skills predict arithmetic fluency and if these predictors are skill-contingent.

Purpose of the Study:

  • To identify unique kindergarten predictors of first-grade arithmetic fluency.
  • To examine the influence of symbolic and non-symbolic number processing efficiency on arithmetic achievement.
  • To determine if these predictors are contingent on children's initial arithmetic proficiency.

Main Methods:

  • Assessed kindergarteners' non-symbolic and symbolic number processing efficiency.
  • Evaluated the contribution of magnitude representations to arithmetic achievement.
  • Measured arithmetic proficiency in Grade 1 using hierarchical and quantile regression analyses.

Main Results:

  • Digit comparison, counting, and numerosity estimation efficiency uniquely predicted arithmetic differences.
  • Symbolic number processing efficiency consistently predicted arithmetic achievement across all proficiency levels.
  • Non-symbolic number processing efficiency did not predict arithmetic achievement, and representational precision was not associated with fluency.

Conclusions:

  • Symbolic number processing efficiency in kindergarten is crucial for developing arithmetic fluency in Grade 1, independent of non-numerical factors.
  • The predictive power of non-symbolic number skills on arithmetic achievement is not dependent on the child's achievement level in a nonclinical population.