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  Teaching mathematical proofs that rely on ideas from physics
 
 
Titel: Teaching mathematical proofs that rely on ideas from physics
Auteur: Hanna, Gila
Jahnke, H. Niels
DeBruyn, Ysbrand
Lomas, Dennis
Verschenen in: Canadian journal of science, mathematics and technology education
Paginering: Jaargang 1 (2001) nr. 2 pagina's 183-192
Jaar: 2001-04
Inhoud: This paper describes empirical research into the effectiveness of using concepts and principles of physics in the teaching of geometrical proofs. A unit on using the lever principle and the principle of the unique centre of gravity of a triangle as premises in mathematical proof was taught in a Grade 12 mathematics class. The students were then asked to prove twice that the three medians of a triangle meet at one point, first using traditional geometrical arguments and then using arguments from physics. The students then responded to a structured questionnaire and a follow-up interview that asked them to compare the two methods of proving. Most of the students found the proof using arguments from physics clearer and easier to remember than the proof using arguments from geometry. The study demonstrated, tentatively, that proofs from physics could be a viable addition to the mathematics curriculum.
Uitgever: Routledge
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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