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Variability in Single Digit Addition Problem-Solving Speed Over Time Identifies Typical, Delay and Deficit Math

Robert A Reeve1, Sarah A Gray1, Brian L Butterworth1,2

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Summary
This summary is machine-generated.

Children's math abilities can be predicted by tracking their response time variability in solving simple addition problems over time. Subitizing skills are key indicators of math success or difficulties.

Keywords:
deficit math pathwaysdelayedlongitudinal analysissingle digit addition problem solving speed variabilitysubitizing abilitytypical

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Area of Science:

  • Cognitive Psychology
  • Developmental Psychology
  • Educational Psychology

Background:

  • Longitudinal studies are crucial for understanding developmental trajectories in cognitive abilities.
  • Variability in problem-solving speed can offer insights into underlying learning processes.
  • Early math skills, like single-digit addition, are foundational for complex mathematical reasoning.

Purpose of the Study:

  • To investigate longitudinal patterns of response time variability in single-digit addition (SDA) problem-solving among children.
  • To determine if these patterns predict later abilities in solving double-digit mental addition problems.
  • To explore the association between SDA response time variability patterns and cognitive measures, including subitizing ability.

Main Methods:

  • Latent profile analysis was used to identify distinct patterns of SDA problem-solving response time variability over six years in 164 children.
  • Cognitive assessments included digit span, visuospatial working memory, non-verbal IQ, number/letter naming speed, and subitizing ability.
  • Performance on a double-digit mental addition test was assessed at the end of the study.

Main Results:

  • Three distinct SDA problem-solving response time variability patterns emerged: typical acquisition, delayed pathway, and deficit pathway.
  • The deficit pathway was uniquely associated with subitizing ability compared to typical and delayed pathways.
  • Success in double-digit mental addition differed significantly across all three SDA response time variability pathways.

Conclusions:

  • Longitudinal analysis of problem-solving response time variability provides valuable insights into individual differences in math ability.
  • Subitizing ability serves as a significant diagnostic indicator for identifying potential math abilities or difficulties.
  • Understanding these developmental pathways can inform early identification and intervention strategies for math learning.