Bringing van Hiele and Piaget Together: A Case for Topology in Early Mathematics Learning

Journal of Humanistic Mathematics

George, Whitney¹ 

[1] University of Wisconsin-La Crosse

关键词: van Hiele;    Piaget;    Topology;    early mathematics;    education;   

DOI  :  10.5642/jhummath.201701.08

学科分类：卫生学

来源: Cleveland Clinic Educational Foundation

【 摘 要 】

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.

【 授权许可】

Unknown