A Learning Environment for Promoting Structured Algebraic Thinking in Children
Santander, Cantabria(2008)
摘要
Although the notion of generality is central in mathematics and science, beingable to identify and express general patterns and/or articulate structures is one of the main difficulties for children when they learn mathematics. This paper presents a step towards a set of tools that addresses this problem by encouraging students to connect between actual activities within the task and expressions of generality. The paper introduces a novel tool -- ShapeBuilder -- and describes how it can be used in the context of a well-known generalisation activity: tiling a pond. Insights gained from various small-scale exploratory studies with children are discussed followed by a description of how we expect this tool to develop in future work.
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关键词
structured algebraic thinking,future work,encouraging student,learning environment,general pattern,main difficulty,well-known generalisation activity,various small-scale exploratory study,actual activity,novel tool,artificial intelligence,mathematical model,exploratory study,pattern recognition,mathematics,educational technology,pediatrics,algebra,testing,shape,computer science,generalisation,pattern analysis
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