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Representation and working memory in early arithmetic
Abstract
Working memory has been implicated in the early acquisition of arithmetic skill, but the relations among different components of working memory, performance on different types of arithmetic problems, and development have not been explored. Preschool and Grade 1 children completed measures of phonological, visual-spatial, and central executive working memory, as well as nonverbal and verbal arithmetic problems, some of which included irrelevant information. For preschool children, accuracy was higher on nonverbal problems than on verbal problems, and the best and only unique predictor of performance on the standard nonverbal problems was visual-spatial working memory. This finding is consistent with the view that most preschoolers use a mental model for arithmetic that requires visual-spatial working memory. For Grade 1 children, performance was equivalent on nonverbal and verbal problems, and phonological working memory was the best predictor of performance on standard verbal problems. For both age groups, problems with added irrelevant information were substantially more difficult than standard problems, and in some cases measures of the central executive predicted performance. Assessing performance on different components of working memory in conjunction with different types of arithmetic problems provided new insights into the developing relations between working memory and how children do arithmetic.
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“Previous literature has shown that working mem - ory correlates with and predicts individuals’ mathematical performance (Raghubar et al., 2010 ; Rasmussen & Bisanz, 2005; Swanson, 2011 ).”
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“Second, with age, the use of a mental model, which is based on spatial representation (Rasmussen & Bisanz, 2005), decreases due to increasing verbal abilities.”
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BackgroundPlanning to save and executive function in preschool children
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“Visuo-spatial memory skills also uniquely predict variability in performance in nonverbal problems (operands presented with blocks) in pre-school children (Rasmussen and Bisanz, 2005).”
Background
Metadata
- Authors
- Rasmussen, C., & Bisanz, J.
- Affiliations
- University of Alberta (CA)
- Corresponding author
- Rasmussen, Carmen
- Venue
- Journal of Experimental Child Psychology
- Publisher
- Elsevier BV
- Published
- 2005-06
- Volume
- 91
- Issue
- 2
- Pages
- 137-157
- ISSN
- 0022-0965 (ISSN-L)
- OpenAlex
- W2020001059
- Cited by
- 408
- References
- 55
- Citations by year
- 2026: 5 · 2025: 11 · 2024: 7 · 2023: 11 · 2022: 44 · 2021: 22 · 2020: 16 · 2019: 21 · 2018: 31 · 2017: 23 · 2016: 35 · 2015: 22 · 2014: 33 · 2013: 27 · 2012: 19
- FWCI
- 8.98
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Experimental Child Psychology (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Natural Sciences and Engineering Research Council of Canada
- Topics
- Social Sciences › Psychology › Developmental and Educational Psychology › Cognitive and developmental aspects of mathematical skills
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Cognitive Abilities and Testing
- Social Sciences › Psychology › Neuropsychology and Physiological Psychology › Developmental and Educational Neuropsychology
- Keywords
- working memory, early arithmetic, arithmetic problem solving, visuospatial working memory, phonological working memory, central executive, preschool children, first grade students, verbal arithmetic problems, irrelevant information, mental models, cognitive development
- MeSH terms
- Child, Child, Preschool, Cognition, Female, Humans, Male, Mathematics, Memory, Phonetics
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