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Das Haus der Vierecke — Aspekte beim Finden mathematischer Begriffe

Das Haus der Vierecke — Aspekte beim Finden mathematischer Begriffe The socalled “Haus der Vierecke” is considered as an elementary example for certain patterns of concept finding in mathematics. In this respect, the following aspects are discussed: (a) Generalizations should fill the gaps in the system of the concepts. (b) Generalizations are not unique. (c) The introduction of new definitions displaces some preceding concepts. (d) By analogy, further concepts may be found. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal für Mathematik-Didaktik Springer Journals

Das Haus der Vierecke — Aspekte beim Finden mathematischer Begriffe

Journal für Mathematik-Didaktik , Volume 2 (1) – Dec 20, 2013

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References (16)

Publisher
Springer Journals
Copyright
Copyright
Subject
Education; Mathematics Education; Mathematics, general; Science Education; History of Mathematical Sciences
ISSN
0173-5322
DOI
10.1007/BF03338643
Publisher site
See Article on Publisher Site

Abstract

The socalled “Haus der Vierecke” is considered as an elementary example for certain patterns of concept finding in mathematics. In this respect, the following aspects are discussed: (a) Generalizations should fill the gaps in the system of the concepts. (b) Generalizations are not unique. (c) The introduction of new definitions displaces some preceding concepts. (d) By analogy, further concepts may be found.

Journal

Journal für Mathematik-DidaktikSpringer Journals

Published: Dec 20, 2013

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