How fragile is consolidated knowledge?

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)15-38
Number of pages24
JournalJournal of Mathematical Behavior
Volume24
Issue number1
DOIs
StatePublished - 2005

Keywords

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

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