All humans and many animals can represent approximate quantities of perceptual objects nonlinguistically by using the Approximate Number System (Dehaene, 1997/2011). Early in life, children in numerate societies also learn to describe this system using number words. How do linguistic representations of number become related to nonlinguistic representations of number? We hypothesize that the analogical process of structure mapping (Gentner, 1983) helps children to form mappings between the linguistic and nonlinguistic number systems on the basis of structural similarities between the two systems. To test this, we tested and analyzed 47 four-and-ve year olds' performance on estimation and analogy tasks. We found that analogical reasoning ability uniquely predicted several components of estimation performance, even when controlling for other domain-general cognitive skills. This provides strong evidence that analogical processes are uniquely related to the development of early estimation.
Understanding symbols requires going beyond what they literally are, and figuring out what they're intended to communicate. For example, a drawing of a bird (or the word bird) could refer to a particular bird, a species, etc. . . The interpreter must decide between these intended meanings. We ask how children go beyond the literal meanings of communicative acts (i.e., compute pragmatic inferences), and whether these inferences are domain-general. We tested 443 US 2-to 6-year-olds' inferences about the referential interpretation of ambiguous symbols. We manipulated the domain (e.g., word or a drawing) and task (interpret vs. create the communicative act). Children robustly identified the referents of ambiguous symbols and chose from among alternatives during linguistic and non-linguistic communication tasks. There were no effects of age or domain on performance. These data provide some of the earliest evidence of children's computations of pragmatic inferences, and provide exciting evidence that pragmatic inferences may extend beyond the domain of language.
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