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On the relation between the mental number line and arithmetic competencies.

Tanja Link1, Hans-Christoph Nuerk, Korbinian Moeller

  • 1a Department of Psychology , Eberhard Karls University , Tuebingen , Germany.

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This study found that bounded number line estimation, not unbounded, correlates with children's math skills. This suggests different spatial-numerical representations are involved in these tasks.

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Area of Science:

  • Cognitive Psychology
  • Educational Psychology
  • Developmental Psychology

Background:

  • Spatial magnitude representation is theorized to link number line estimation to numerical competencies.
  • Previous research often uses bounded number line tasks, potentially conflating spatial representation with other numerical skills.

Purpose of the Study:

  • To investigate if spatial magnitude representation underlies the link between number line estimation and basic numerical/arithmetic skills.
  • To differentiate the roles of bounded versus unbounded number line tasks in assessing this link.

Main Methods:

  • 45 fourth-graders completed bounded and unbounded number line estimation tasks.
  • Performance was correlated with addition, subtraction, and number magnitude comparison tasks.

Main Results:

  • Bounded number line estimation performance significantly correlated with numerical and arithmetic competencies.
  • Unbounded number line estimation performance did not show a significant correlation.

Conclusions:

  • Bounded and unbounded number line tasks do not measure the same spatial-numerical representation.
  • The association of bounded tasks with math skills may involve additional numerical processes like proportion judgment and basic arithmetic.