a1 Department of Cognitive Science, University of California, San Diego, La Jolla, CA 92093-0515 rnunez@ucsd.edu http://www.cogsci.ucsd.edu/~nunez/web/index.html
Abstract
Early quantitative skills cannot be directly extended to provide the richness, precision, and sophistication of the concept of natural number. These skills must interact with top-down mathematical schemas, which can be explained by bodily grounded everyday mechanisms for abstraction and imagination (e.g., conceptual metaphor, blending) that are both biologically plausible and culturally shaped (established beyond the child's mind).
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