Preformal proving: examples and reflections

dc.date.accessioned	2009-06-24T06:37:19Z
dc.date.available	2009-06-24T06:37:19Z
dc.date.issued	1991
dc.identifier.issn	0013-1954
dc.identifier.uri	urn:nbn:de:hebis:34-2009062428379
dc.identifier.uri	http://hdl.handle.net/123456789/2009062428379
dc.format.extent	1667161 bytes
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.rights	Urheberrechtlich geschützt
dc.rights.uri	https://rightsstatements.org/page/InC/1.0/
dc.subject.ddc	510
dc.title	Preformal proving: examples and reflections	eng
dc.type	Aufsatz
dcterms.abstract	The starting point of our reflections is a classroom situation in grade 12 in which it was to be proved intuitively that non-trivial solutions of the differential equation f' = f have no zeros. We give a working definition of the concept of preformal proving, as well as three examples of preformal proofs. Then we furnish several such proofs of the aforesaid fact, and we analyse these proofs in detail. Finally, we draw some conclusions for mathematics in school and in teacher training.	eng
dcterms.accessRights	open access
dcterms.bibliographicCitation	In: Educational studies in mathematics. - Dortrecht [u.a] : Kluwer, 22.1991, S. 183-203
dcterms.creator	Blum, Werner
dcterms.creator	Kirsch, Arnold