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Morra, Sergio; Bisagno, Elisa; Caviola, Sara; Delfante, Chiara; Mammarella, Irene Cristina – Cognition and Instruction, 2019
This article reconsiders Case's theory of central conceptual structures (CCS), examining the relation between working memory and the acquisition of quantitative CCS. The lead hypothesis is that the development of working memory capacity shapes the development of quantitative concepts (whole and rational numbers). Study I, with 779 children from…
Descriptors: Short Term Memory, Concept Formation, Children, Early Adolescents
Baroody, Arthur J.; Brach, Catherine; Tai, Yu-chi – Cognition and Instruction, 2006
A schema based view of addition development is compared with Siegler's latest strategy-choice model, which includes an addition goal sketch (a basic understanding of "the goals and causal relations" of addition; Siegler & Crowley, 1994, p. 196). This metacognitive component in the latter model is presumed to develop as a child practices a basic…
Descriptors: Arithmetic, Mathematics Instruction, Models, Cognitive Development

Sarama, Julie; Clements, Douglas H.; Swaminathan, Sudha; McMillen, Sue; Gonzalez Gomez, Rosa M. – Cognition and Instruction, 2003
Investigated the development among fourth-graders of two-dimensional space concepts within a mathematics unit on grids, coordinates, and rectangles. Found that students' knowledge of grid and coordinate systems related to levels of competence in number sense, spatial-geometric relationships, and the ability to discriminate and integrate the two…
Descriptors: Cognitive Development, Concept Formation, Elementary Education, Elementary School Mathematics