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Updated: May 28, 2026

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Published on: August 28, 2021
Different components of working memory have different relationships with different mathematical skills
Fiona R Simmons1, Catherine Willis, Anne-Marie Adams
1School of Natural Sciences and Psychology, Liverpool John Moores University, Liverpool L3 3AF, UK. f.r.simmons@ljmu.ac.uk
Working memory significantly impacts mathematical skills like number writing and arithmetic in children. Different working memory components, such as the visual-spatial sketchpad, play distinct roles in developing these crucial numerical abilities.
Area of Science:
- Cognitive Psychology
- Developmental Psychology
- Educational Psychology
Background:
- Working memory is crucial for complex cognitive tasks.
- Understanding the specific roles of working memory components in mathematical development is essential for targeted interventions.
Purpose of the Study:
- To investigate the relationship between working memory and mathematical skills in children.
- To determine how different components of working memory (visual-spatial sketchpad, central executive, phonological loop) uniquely contribute to mathematical abilities.
Main Methods:
- Administered a comprehensive working memory battery and mathematical skills tests to 90 children (Year 1 and Year 3).
- Utilized statistical analysis to identify variance explained by working memory components in mathematical tasks.
Main Results:
- Working memory explained significant variance in number writing, magnitude judgment, and single-digit arithmetic.
- Visual-spatial sketchpad functioning uniquely predicted number writing and magnitude judgments.
- Central executive functioning uniquely predicted addition accuracy in Year 1 children.
- Phonological loop functioning showed a near-significant unique contribution to Year 3 multiplication.
Conclusions:
- Working memory plays a significant role in the development of numerical cognition.
- Specific working memory components have differential impacts on various mathematical skills.
- The visual-spatial sketchpad is particularly important for number writing and magnitude judgment, while the central executive is key for early arithmetic.
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