This study examined the effects of training involving spatial versus nonspatial representations of numerical magnitude for promoting arithmetic fluency. The key goal was to advance theoretical understanding of the relation between spatial and math learning, while simultaneously laying the groundwork for the development of future educational interventions. Toward this goal, the study tested the hypothesis that the use of spatial representations during training facilitates arithmetic fluency via improvements in numerical magnitude knowledge. Participants (first graders from low-income racially/ethnically diverse backgrounds, = 205) were randomly assigned to one of four experimental conditions: spatial-continuous, spatial-discrete, nonspatial-verbal cues, and nonspatial-no verbal cues. All conditions involved eight 30-min training sessions, in which children received instruction on addition/subtraction problems with totals within 10. The key difference between conditions was the type of materials utilized during training-specifically, the type of magnitude cues they contained. The results showed that children's arithmetic skills increased from pre- to posttest in all conditions and that the increase was significantly larger in the spatial, compared to nonspatial, conditions. However, there was no effect of condition on numerical magnitude knowledge, which leaves open the question about the underlying mechanism. The findings demonstrating a causal relation between spatial and mathematical domains have both theoretical significance and practical implications for the choice of instructional materials. (PsycInfo Database Record (c) 2025 APA, all rights reserved).
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Hum Brain Mapp
March 2025
State Key Laboratory of Cognitive Neuroscience and Learning & IDG/McGovern Institute for Brain Research, Beijing Normal University, Beijing, China.
Focusing on the distance between magnitudes as the starting point to investigate the mechanism of relation detection and its contribution to mathematical thinking, this study explores the precision of neural representations of numerical distance and their impact on children's arithmetic performance. By employing neural decoding techniques and representational similarity analysis, the present study investigates how accurately the brain represents numerical distances and how this precision relates to arithmetic skills. Twenty-nine school-aged children participated, completing a dot number comparison task during fMRI scanning and an arithmetic fluency test.
View Article and Find Full Text PDFDev Psychol
March 2025
Centre of Excellence in Learning Dynamics and Intervention Research (InterLearn), University of Jyvaskyla.
This study explores the directionality of the associations between silent reading fluency and arithmetic fluency development from Grade 1 through Grade 9 (ages 7 to 16) in a large Finnish sample of 2,518 participants. Participants' silent reading and arithmetic fluency skills were assessed at seven time points across Grades 1, 2, 3, 4, 6, 7, and 9. A random intercept cross-lagged panel model was employed to distinguish between between-person and within-person associations.
View Article and Find Full Text PDFPsychol Res
March 2025
Department of Psychology, Faculty of Behavioral Sciences, Ruppin Academic Center, Emek Hefer, Israel.
Math fluency is the ability to efficiently solve known arithmetic exercises, and it is one of the building blocks for academic achievements and daily use. Math fluency is assessed by how many exercises individuals can solve correctly in a limited time, requiring switching from one exercise to another. Switching is one of the executive functions and involves flexibility and adaptation to changing circumstances.
View Article and Find Full Text PDFbioRxiv
January 2025
Department of Psychiatry & Behavioral Sciences, Stanford University School of Medicine Stanford, CA 94305, US.
Children exhibit remarkable variability in their mathematical problem-solving abilities, yet the cognitive, metacognitive and affective mechanisms underlying these individual differences remain poorly understood. We developed a novel Bayesian model of arithmetic problem-solving (BMAPS) to uncover the latent processes governing children's arithmetic strategy choice and efficiency. BMAPS inferred cognitive parameters related to strategy execution and metacognitive parameters related to strategy selection, revealing key mechanisms of adaptive problem solving.
View Article and Find Full Text PDFChild Neuropsychol
February 2025
Department of Neuropsychology and Psychopharmacology, Faculty of Psychology and Neuroscience, Maastricht University, Maastricht, The Netherlands.
This study explores the relationship between children's academic performance and their results on cognitive function tests. Traditionally, cognitive test scores often reflect overall accuracy or speed. Yet, these overall scores are often influenced by both diverse executive functions (EF) and non-EF cognitive processes.
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