Arithmetic strategy development and its domain-specific and domain-general cognitive correlates: a longitudinal study in children with persistent mathematical learning difficulties.
Symbolic magnitude processing—not working memory—flags which late-elementary kids will stay stuck on math facts.
01Research in Context
What this study did
Kiran and colleagues followed kids with math learning disabilities for two years.
They tested how well the children could pull math facts from memory and judge number size.
The team also checked working memory and non-symbolic number sense to see which skills predicted who stayed stuck.
What they found
Kids whose math troubles never eased had one clear weak spot: symbolic magnitude.
They were slow to decide which written digit or sum was larger.
Working memory and non-symbolic number sense did not predict who stayed behind.
How this fits with other research
Peake et al. (2017) also saw symbolic and verbal MLD groups, matching the symbolic deficit found here.
Granieri et al. (2020) found only one broad low-achieving group and no neat subtypes.
The difference is method: Christian used cluster analysis while E used latent profiles.
Together they tell us to probe symbolic number sense in every struggling child, not to wait for tidy labels.
Riva et al. (2021) showed preschool symbolic training lifts at-risk kids to grade level by first grade.
Their result supports early symbolic work, while Kiran shows the same skill still matters in fourth grade.
Why it matters
If a late-elementary child still counts on fingers, screen symbolic magnitude first.
A quick digit-comparison task tells you more than a working-memory test.
Pair this probe with the prompting and visual supports that Park et al. (2020) found keep math skills in place.
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02At a glance
03Original abstract
Deficits in arithmetic fact retrieval constitute the hallmark of children with mathematical learning difficulties (MLD). It remains, however, unclear which cognitive deficits underpin these difficulties in arithmetic fact retrieval. Many prior studies defined MLD by considering low achievement criteria and not by additionally taking the persistence of the MLD into account. Therefore, the present longitudinal study contrasted children with persistent MLD (MLD-p; mean age: 9 years 2 months) and typically developing (TD) children (mean age: 9 years 6 months) at three time points, to explore whether differences in arithmetic strategy development were associated with differences in numerical magnitude processing, working memory and phonological processing. Our longitudinal data revealed that children with MLD-p had persistent arithmetic fact retrieval deficits at each time point. Children with MLD-p showed persistent impairments in symbolic, but not in nonsymbolic, magnitude processing at each time point. The two groups differed in phonological processing, but not in working memory. Our data indicate that both domain-specific and domain-general cognitive abilities contribute to individual differences in children's arithmetic strategy development, and that the symbolic processing of numerical magnitudes might be a particular risk factor for children with MLD-p.
Research in developmental disabilities, 2014 · doi:10.1016/j.ridd.2014.06.023