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Opfer, John E.; Siegler, Robert S.; Young, Christopher J. – Developmental Science, 2011
Barth and Paladino (2011) argue that changes in numerical representations are better modeled by a power function whose exponent gradually rises to 1 than as a shift from a logarithmic to a linear representation of numerical magnitude. However, the fit of the power function to number line estimation data may simply stem from fitting noise generated…
Descriptors: Numbers, Computation, Models, Prediction
Siegler, Robert S. – Developmental Science, 2007
Children's thinking is highly variable at every level of analysis, from neural and associative levels to the level of strategies, theories, and other aspects of high-level cognition. This variability exists within people as well as between them; individual children often rely on different strategies or representations on closely related problems…
Descriptors: Thinking Skills, Cognitive Processes, Children, Neurological Organization