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1-030 - Linguistic basis of numerical cognition

Thu, March 21, 9:30 to 11:00am, Baltimore Convention Center, Floor: Level 3, Room 343

Session Type: Paper Symposium

Integrative Statement

The natural numbers are endless. This has made children’s acquisition of their meaning a puzzle to researchers and educators for a long time. While the natural number system seems simple, it takes several years of explicit and intentional training for a developing child to grasp all the meanings it can express. This symposium presents a set of four papers that addresses this puzzle, all with the common theoretical proposition that linguistic structure and operations are key to grasping the meanings of indefinitely (and potentially, infinitely) many natural numbers. At a detailed level, these papers will provide answers to more specific questions regarding (1) the relationship between the transparency of the base system and children’s counting knowledge, (2) children’s use of the base-10 syntactic rule to represent cardinality, (3) children’s understanding of multiplicative syntactic binding to represent a number, and (4) the relationship between children’s knowledge of the syntactic structure and their understanding of infinity. The findings, to be elaborated in each presentation, collectively suggest the importance of “numerical syntax” in comprehending the natural number system and lead to exciting new directions to studying this most basic yet crucial element of human knowledge base.

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