Abstract / Synopsis
Topological concepts arise naturally in young children's spatial reasoning yet topology is not part of our current K-12 education. In this paper, we extend the van Hiele model of spatial reasoning using Piaget's theory of representational space. By merging these two existing theories, we are able to place topological concepts in a context that is age appropriate.
George, W. "Bringing van Hiele and Piaget Together: A Case for Topology in Early Mathematics Learning," Journal of Humanistic Mathematics, Volume 7 Issue 1 (January 2017), pages 105-116. DOI: 10.5642/jhummath.201701.08 . Available at: https://scholarship.claremont.edu/jhm/vol7/iss1/8