How fragile is consolidated knowledge?

Pessia Tsamir*, Tommy Dreyfus

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)15-38
Number of pages24
JournalJournal of Mathematical Behavior
Issue number1
StatePublished - 2005


  • Abstraction
  • Comparison-of-infinite-sets
  • Consolidation
  • Fragility of knowledge structures


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