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Beyond the representation given - The parabola and historical metamorphoses of meaning
Linköping University, Faculty of Educational Sciences. Linköping University, Department of Mathematics, Applied Mathematics.ORCID iD: 0000-0002-3681-3535
2004 (English)In: PME - Interbational Group for the Psychology of Mathematics Education,2004, Bergen: Bergen Univeristy College , 2004, 1-264-1-264 p.Conference paper, Published paper (Other academic)
Abstract [en]

  Tracking the history of a mathematical object reveals a double influence on its development - from inside and outside the pure mathematical realm. From a semiotic point of view, a chain of metamorphoses of meanings is created, which becomes critical as the mathematical object by the social process of didactic transposition is turned into a presented object of teaching and learning. As an example, by representing the mathematical object -parabola- by means of its historical progression within classical geometry, analytic geometry, and dynamic geometry software, it is seen, by using analytic tools from semiotics, anthropo¬logical theory of didactics, and embodied cognition, how and why students- concept images and problem solving techniques may become disconnected and instrumental.

Place, publisher, year, edition, pages
Bergen: Bergen Univeristy College , 2004. 1-264-1-264 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-36752Local ID: 32349OAI: oai:DiVA.org:liu-36752DiVA: diva2:257601
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2016-11-30

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Bergsten, Christer

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