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27 - Reasoning in Mathematical Development

Neurocognitive Foundations and Their Implications for the Classroom

from Part III - Education and School-Learning Domains

Published online by Cambridge University Press:  24 February 2022

By
Jérôme Prado  and
Marie-Line Gardes
Edited by
Olivier Houdé  and
Grégoire Borst
Olivier Houdé
Affiliation:
Université de Paris V
Grégoire Borst
Affiliation:
Université de Paris V
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Summary

Relations are ubiquitous in mathematics, from the understanding of measurement and patterns to the acquisition of algebra and fractions. In line with this observation, a growing body of literature indicate that individual differences in mathematical skills are associated with individual differences in the ability to reason about relations. In the present chapter, we review these studies and discuss what is known about the neural and behavioral development of two major forms of relational reasoning (i.e., transitive reasoning and analogical reasoning). We argue that relational reasoning may not only relate to mathematical skills because both place demands on common general cognitive resources, but also because relational reasoning and numerical skills share some underlying neurocognitive representations. Finally, the educational implications of these studies are discussed. Notably, we suggest that teachers may help scaffold the development of relational reasoning skills in the classroom by promoting situations in which children are engaged in problem-solving.

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The Cambridge Handbook of Cognitive Development , pp. 566 - 584
Publisher: Cambridge University Press
Print publication year: 2022

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