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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
McMurray, Bob; Aslin, Richard N.; Toscano, Joseph C. – Developmental Science, 2009
Recent evidence (Maye, Werker & Gerken, 2002) suggests that statistical learning may be an important mechanism for the acquisition of phonetic categories in the infant's native language. We examined the sufficiency of this hypothesis and its implications for development by implementing a statistical learning mechanism in a computational model…
Descriptors: Phonetics, Competition, Statistical Analysis, Infants
Kemp, Charles; Perfors, Amy; Tenenbaum, Joshua B. – Developmental Science, 2007
Inductive learning is impossible without overhypotheses, or constraints on the hypotheses considered by the learner. Some of these overhypotheses must be innate, but we suggest that hierarchical Bayesian models can help to explain how the rest are acquired. To illustrate this claim, we develop models that acquire two kinds of…
Descriptors: Bayesian Statistics, Logical Thinking, Models, Statistical Analysis
Sobel, David M.; Kirkham, Natasha Z. – Developmental Science, 2007
A fundamental assumption of the causal graphical model framework is the Markov assumption, which posits that learners can discriminate between two events that are dependent because of a direct causal relation between them and two events that are independent conditional on the value of another event(s). Sobel and Kirkham (2006) demonstrated that…
Descriptors: Markov Processes, Infants, Metacognition, Thinking Skills

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