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How fragile is consolidated knowledge?: Ben's comparisons of infinite sets
Authors:Pessia Tsamir  Tommy Dreyfus
Institution:School of Education, Tel Aviv University, P.O. Box 39040, Ramat Aviv, Tel Aviv 69978, Israel
Abstract:This article builds on two previous ones in which we presented the processes of construction and consolidation of one student's knowledge structures about comparisons of infinite sets, according to a recently proposed theory of abstraction. In the present article, we show that under slight variations of context, knowledge structures that have apparently been well-consolidated may become inactive and subordinate to more primitive ones.
Keywords:Abstraction  Consolidation  Fragility of knowledge structures  Comparison-of-infinite-sets
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