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Updated: Nov 17, 2025

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA
Published on: August 28, 2021
Symbolic versus non-symbolic training for improving early numeracy in preschoolers at risk of developing difficulties
Valentina Tobia1, Paola Bonifacci2, Gian Marco Marzocchi3
1Faculty of Psychology, Vita-Salute San Raffaele University, Via Olgettina 58, 20132 Milan, Italy; Child in Mind Lab, Vita-Salute San Raffaele University, Via Olgettina 58, 20132 Milan, Italy.
Background:
Children's understanding of symbolic (e.g., Arabic digits) and non-symbolic (e.g., sets of dots) magnitudes plays a key role in their mathematics achievement, but only a few studies directly compared the effects of symbolic and non-symbolic interventions on mathematical abilities.
Aims:
This longitudinal study compared the impact of symbolic and non-symbolic trainings in a group of preschoolers at risk of developing difficulties in mathematics (RM), analyzing their post-intervention performance both in early math skills (last preschool year) and in mathematics achievement in 1st grade.
Methods:
Eighty-nine RM children and 66 typically developing controls were selected from among 604 preschoolers. RM children were assigned to three intervention conditions: no intervention, symbolic or non-symbolic intervention.
Results:
Results showed specific effects on tasks related to the training (e.g., effects of symbolic training on symbolic tasks) and some effects of generalization (e.g., effects of symbolic training on non-symbolic tasks). In 1st grade, children attending the symbolic intervention showed a mathematics achievement profile similar to that of typically developing peers.
Conclusions:
These results suggest the importance of training the symbolic processing of numbers at preschool age, allowing at risk children to catch up with their peers before entering formal schooling.
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