Numerical matching judgments in children with mathematical learning disabilities.
A short digit-plus-dots matching test tells you if a child’s math pain comes from weak symbol access, not a broken number sense.
01Research in Context
What this study did
The team gave kids two kinds of number-matching tasks. Kids saw digits, dots, or a mix of both. They had to say if two displays showed the same amount.
The sample included children with mathematical learning disabilities and peers without math trouble. Everyone raced the clock while answering.
What they found
Children with MLD were slower only when the task mixed digits and dots. They kept up when both displays used the same format.
The result points to an access problem, not a broken number sense. The kids understand quantity; they struggle to link symbols to that quantity.
How this fits with other research
Schwenk et al. (2017) pooled 45 studies and found the same pattern. Symbolic comparison speed flags math trouble better than non-symbolic tasks. Their meta-analysis includes the 2013 data you are reading now.
Brankaer et al. (2011) looks contradictory at first. Their kids with mild intellectual disability were slow on every symbolic task, not just mixed ones. The difference is diagnosis: mild ID affects broad learning; MLD hits the symbol-quantity link alone.
Ceulemans et al. (2014) tested adolescents with MLD on fast counting instead of matching. They found no speed gap, but the teens traded speed for accuracy differently. Together the studies show the task you pick decides what deficit you see.
Why it matters
Use a quick mixed-notation probe to sort math struggles. If the child slows only when digits meet dots, target symbol-quantity fluency first. Skip broad number-sense drills and teach fast translation between symbols and sets.
Want CEUs on This Topic?
The ABA Clubhouse has 60+ free CEUs — live every Wednesday. Ethics, supervision & clinical topics.
Join Free →Add a 30-second mixed-notation matching trial to your math intake and watch for a sudden drop in speed.
02At a glance
03Original abstract
Both deficits in the innate magnitude representation (i.e. representation deficit hypothesis) and deficits in accessing the magnitude representation from symbols (i.e. access deficit hypotheses) have been proposed to explain mathematical learning disabilities (MLD). Evidence for these hypotheses has mainly been accumulated through the use of numerical magnitude comparison tasks. It has been argued that the comparison distance effect might reflect decision processes on activated magnitude representations rather than number processing per se. One way to avoid such decisional processes confounding the numerical distance effect is by using a numerical matching task, in which children have to indicate whether two dot-arrays or a dot-array and a digit are numerically the same or different. Against this background, we used a numerical matching task to examined the representation deficit and access deficit hypotheses in a group children with MLD and controls matched on age, gender and IQ. The results revealed that children with MLD were slower than controls on the mixed notation trials, whereas no difference was found for the non-symbolic trials. This might be in line with the access deficit hypothesis, showing that children with MLD have difficulties in linking a symbol with its quantity representation. However, further investigation is required to exclude the possibility that children with MLD have a deficit in integrating the information from different input notations.
Research in developmental disabilities, 2013 · doi:10.1016/j.ridd.2013.06.018