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Development of numerical estimation in young children.
Two experiments examined kindergartners', first graders', and second graders' numerical estimation, the internal representations that gave rise to the estimates, and the general hypothesis thatExpand
Emerging Minds: The Process of Change in Children's Thinking
1. Whose Children are we Talking About? 2. Evolution and Cognitive Development 3. Cognitive Variability: The Ubiquity of Multiplicity 4. Strategic Development: Trudging up the Staircase or SwimmingExpand
The Development of Numerical Estimation
We examined children's and adults' numerical estimation and the representations that gave rise to their estimates. The results were inconsistent with two prominent models of numerical representation:Expand
Developmental and individual differences in pure numerical estimation.
The authors examined developmental and individual differences in pure numerical estimation, the type of estimation that depends solely on knowledge of numbers. Children between kindergarten and 4thExpand
Three aspects of cognitive development
  • R. Siegler
  • Psychology
  • Cognitive Psychology
  • 1 October 1976
Abstract An attempt was made to characterize and explain developmental differences in children's thinking, specifically in their understanding of balance scale problems. Such differences were soughtExpand
Strategy choice procedures and the development of multiplication skill.
  • R. Siegler
  • Psychology, Medicine
  • Journal of experimental psychology. General
  • 1 September 1988
Many intelligent strategy choices may be accomplished through relatively low-level cognitive processes. This article describes a detailed model of how such "mindless" processes might lead toExpand
An integrated theory of whole number and fractions development
This article proposes an integrated theory of acquisition of knowledge about whole numbers and fractions. Although whole numbers and fractions differ in many ways that influence their development, anExpand
Developing Conceptual Understanding and Procedural Skill in Mathematics: An Iterative Process.
The authors propose that conceptual and procedural knowledge develop in an iterative fashion and that improved problem representation is 1 mechanism underlying the relations between them. TwoExpand
Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games.
Theoretical analyses of the development of numerical representations suggest that playing linear number board games should enhance young children's numerical knowledge. Consistent with thisExpand