Aufsatz
Preformal proving: examples and reflections
Zusammenfassung
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.
Zitierform
In: Educational studies in mathematics. - Dortrecht [u.a] : Kluwer, 22.1991, S. 183-203Zitieren
@article{urn:nbn:de:hebis:34-2009062428379,
author={Blum, Werner and Kirsch, Arnold},
title={Preformal proving: examples and reflections},
year={1991}
}
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2009-06-24T06:37:19Z 2009-06-24T06:37:19Z 1991 0013-1954 urn:nbn:de:hebis:34-2009062428379 http://hdl.handle.net/123456789/2009062428379 1667161 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ 510 Preformal proving: examples and reflections Aufsatz 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. open access In: Educational studies in mathematics. - Dortrecht [u.a] : Kluwer, 22.1991, S. 183-203 Blum, Werner Kirsch, Arnold
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