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Updated: Apr 25, 2026

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA
Published on: August 28, 2021
Arithmetic strategy development and its domain-specific and domain-general cognitive correlates: a longitudinal study
Kiran Vanbinst1, Pol Ghesquière1, Bert De Smedt1
1Parenting and Special Education Research Group, Katholieke Universiteit Leuven, Leopold Vanderkelenstraat 32, Box 3765, B-3000 Leuven, Belgium.
Children with persistent mathematical learning difficulties (MLD) struggle with arithmetic fact retrieval due to ongoing deficits in symbolic magnitude processing. These findings highlight key cognitive factors impacting math skills in children with MLD.
Area of Science:
- Cognitive Psychology
- Developmental Psychology
- Neuroscience
Background:
- Mathematical learning difficulties (MLD) are often characterized by deficits in arithmetic fact retrieval.
- The specific cognitive underpinnings of these persistent difficulties require further longitudinal investigation.
- Previous studies often used achievement criteria without considering the persistence of MLD.
Purpose of the Study:
- To longitudinally investigate cognitive differences between children with persistent MLD and typically developing children.
- To examine the association between arithmetic strategy development and cognitive factors like numerical magnitude processing, working memory, and phonological processing.
- To identify potential risk factors contributing to persistent MLD.
Main Methods:
- A longitudinal study design tracking children over time.
- Comparison of children with persistent MLD (MLD-p) and typically developing (TD) children.
- Assessment of arithmetic fact retrieval, symbolic and nonsymbolic magnitude processing, working memory, and phonological processing at three time points.
Main Results:
- Children with MLD-p consistently exhibited arithmetic fact retrieval deficits across all time points.
- Persistent impairments in symbolic magnitude processing were observed in children with MLD-p, but not in nonsymbolic magnitude processing.
- Differences between groups were found in phonological processing, but not in working memory.
Conclusions:
- Persistent MLD is associated with enduring deficits in symbolic numerical magnitude processing.
- Both domain-specific (symbolic magnitude processing) and domain-general cognitive abilities influence arithmetic strategy development.
- Symbolic magnitude processing represents a significant risk factor for children experiencing persistent mathematical learning difficulties.
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