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Learning correspondences between magnitudes, symbols and words: Evidence for a triple code model of arithmetic development

Malone, Stephanie
Delaney, Michelle
Burgoyne, Kelly
Hulme, Charles
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Abstract
According to the Triple Code Model, early arithmetic development depends on learning the mappings between non-verbal representations of magnitude (quantity) and symbolic verbal (number words) and visual (Arabic numerals) representations of number. We examined this hypothesis in a sample of 166 4- to 7-year old children. Children completed 4 paired-associate learning tasks and a broad range of measures assessing early numerical (symbolic and non-symbolic magnitude comparison, digit writing, arithmetic) and reading skills (letter-sound knowledge, phoneme awareness, rapid automatized naming, word reading). A path model showed that paired-associate learning tasks involving mapping magnitudes onto verbal or visual stimuli predicted arithmetic performance over and above other well-established predictors. This relationship was specific to arithmetic and, consistent with the Triple Code Model, highlights that mapping between non-symbolic magnitude representations and the corresponding symbolic forms (verbal and visual) is important to the development of arithmetic skills.
Keywords
Paired-associated learning, Triple Code Model, Approximate Number System (ANS), Arithmetic development, Numerical cognition, Non-symbolic magnitude judgment
Date
2019
Type
Journal article
Journal
Cognition
Book
Volume
187
Issue
Page Range
1-9
Article Number
ACU Department
School of Education
Faculty of Education and Arts
Institute for Learning Sciences and Teacher Education (ILSTE)
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Open Access Status
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