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Title: The algorithmic origins of counting
Abstract The study of how children learn numbers has yielded one of the most productive research programs in cognitive development, spanning empirical and computational methods, as well as nativist and empiricist philosophies. This paper provides a tutorial on how to think computationally about learning models in a domain like number, where learners take finite data and go far beyond what they directly observe or perceive. To illustrate, this paper then outlines a model which acquires a counting procedure using observations of sets and words, extending the proposal of Piantadosi et al. (2012). This new version of the model responds to several critiques of the original work and outlines an approach which is likely appropriate for acquiring further aspects of mathematics.  more » « less
Award ID(s):
2201843 2000759
PAR ID:
10477629
Author(s) / Creator(s):
 
Publisher / Repository:
Wiley-Blackwell
Date Published:
Journal Name:
Child Development
Volume:
94
Issue:
6
ISSN:
0009-3920
Format(s):
Medium: X Size: p. 1472-1490
Size(s):
p. 1472-1490
Sponsoring Org:
National Science Foundation
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