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Published on: April 12, 2018
The arithmetic problem size effect in children: an event-related potential study
Leen Van Beek1, Pol Ghesquièr1, Bert De Smedt1
1Parenting and Special Education Research Unit, Faculty of Psychology and Educational Sciences, University of Leuven Leuven, Belgium.
Insights
This study examined the arithmetic problem size effect in children using event-related potentials (ERPs). Large addition problems elicited distinct brain responses, suggesting differences in cognitive resources compared to small problems.
Area of Science:
- Neuroscience
- Developmental Psychology
- Cognitive Science
Background:
- The arithmetic problem size effect, where larger sums take longer to solve, is well-documented in adults.
- Electrophysiological correlates of this effect are known in adults but not yet established in children.
- Understanding these neural underpinnings in children is crucial for identifying learning difficulties.
Purpose of the Study:
- To investigate the event-related potentials (ERPs) associated with the arithmetic problem size effect in typically developing children.
- To compare children's electrophysiological responses to arithmetic problem size with existing adult data.
- To explore potential neural markers for mathematical difficulties.
Main Methods:
- 22 typically developing 12-year-olds solved single-digit addition problems (sum ≤ 10 for small, sum > 10 for large).
- Event-related potentials (ERPs) were recorded while children spoke their answers.
- Analysis focused on early (P1, N1, P2) and later (N2, late positivity) ERP components.
Main Results:
- No significant problem size effect was observed on early ERP components (P1, N1, P2).
- The N2 component showed more negative potentials for large additions, indicating greater attentional and working memory demands.
- A larger late positivity component was found for large additions at right parieto-occipital electrodes, mirroring adult findings.
Conclusions:
- Children's ERPs during arithmetic exhibit similarities to adult patterns regarding the problem size effect.
- The N2 and late positivity components may serve as neural markers for cognitive resource allocation during arithmetic.
- ERPs related to the problem size effect could be valuable for future research on arithmetic fact retrieval impairments in children.
Abstract:
This study used for the first time event-related potentials (ERPs) to examine the well-known arithmetic problem size effect in children. The electrophysiological correlates of this problem size effect have been well documented in adults, but such information in children is lacking. In the present study, 22 typically developing 12-year-olds were asked to solve single-digit addition problems of small (sum ≤ 10) and large problem size (sum > 10) and to speak the solution into a voice key while ERPs were recorded. Children displayed similar early and late components compared to previous adult studies on the problem size effect. There was no effect of problem size on the early components P1, N1, and P2. The peak amplitude of the N2 component showed more negative potentials on left and right anterior electrodes for large additions compared to small additions, which might reflect differences in attentional and working memory resources between large and small problems. The mean amplitude of the late positivity component which follows the N2, was significantly larger for large than for small additions at right parieto-occipital electrodes, in line with previous adult data. The ERPs of the problem size effect during arithmetic might be a useful neural marker for future studies on fact retrieval impairments in children with mathematical difficulties.
