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Bringing van Hiele and Piaget Together: A Case for Topology in Early Mathematics Learning
Journal of Humanistic Mathematics Pub Date : 2017-01-01 , DOI: 10.5642/jhummath.201701.08
Whitney George

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.

中文翻译:

将van Hiele和Piaget集合在一起:早期数学学习中的拓扑学案例

拓扑概念自然出现在幼儿的空间推理中,但拓扑不是我们当前的K-12教育的一部分。在本文中,我们使用Piaget的表示空间理论扩展了空间推理的van Hiele模型。通过合并这两种现有理论,我们可以将拓扑概念放置在适合年龄的环境中。
更新日期:2017-01-01
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