The authors explore how children's play can support the development of the foundations of mathematics learning and how adults can support children's representation of--and thus the "mathematization" of--their play. The authors review research about the amount and nature of mathematics found in the free play of children. They briefly…

Demonstrates the need for a process-oriented, constructivist approach to understanding infants' categorization abilities. Suggests that emphasizing the distinction between perceptual and conceptual categorization has been an obstacle to forging an approach. Proposes a more microanalytic consideration of features available to infants at different…