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Krueger, Kai A.; Dayan, Peter – Cognition, 2009
Humans and animals can perform much more complex tasks than they can acquire using pure trial and error learning. This gap is filled by teaching. One important method of instruction is shaping, in which a teacher decomposes a complete task into sub-components, thereby providing an easier path to learning. Despite its importance, shaping has not…
Descriptors: Short Term Memory, Teaching Methods, Learning Processes, Mathematical Models
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Verguts, Tom; Opstal, Filip Van – Cognition, 2008
Cohen Kadosh, Tzelgov, and Henik [Cohen Kadosh, R., Tzelgov, J., & Henik, A. (2008). A synesthetic walk on the number line: The size effect. "Cognition", 106, 548-557] present a new paradigm to probe properties of the mental number line. They describe two experiments which they argue to be inconsistent with the exact small number model proposed by…
Descriptors: Number Concepts, Experiments, Effect Size, Mathematical Models
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de Hevia, Maria Dolores; Spelke, Elizabeth S. – Cognition, 2009
Mature representations of space and number are connected to one another in ways suggestive of a "mental number line", but this mapping could either be a cultural construction or a reflection of a more fundamental link between the domains of number and geometry. Using a manual bisection paradigm, we tested for number line representations in adults,…
Descriptors: Preschool Children, Number Concepts, Cognitive Processes, Mathematical Models