Khayyam with Cabri: experiences of pre-service mathematics teachers with Khayyam's solution of cubic equations in dynamic geometry environment
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Adnan Baki [1] ; Bulent Guven [1]
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[1] Karadeniz Technical University
Karadeniz Technical University
Turquía
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- Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 28, Nº. 1, 2009, págs. 1-9
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
The study reported in this article deals with the observed actions of Turkish pre-service mathematics teachers in dynamic geometry environment (DGE) as they were learning Khayyam's method for solving cubic equations formed as x3 + ax = b. Having learned the method, modelled it in DGE and verified the correctness of the solution, students generated their own methods for solving different types of cubic equations such as x3 + ax2 = b and x3 + a = bx in the light of Khayyam's method. With the presented teaching experiment, students realized that Khayyam's mathematics is different from theirs. We consider that this gave them an opportunity to have an insight about the cultural and social aspects of mathematics. In addition, the teaching experiment showed that dynamic geometry software is an excellent tool for doing mathematics because of their dynamic nature and accurate constructions. And, it can be easily concluded that the history of mathematics is useful resource for enriching mathematics learning environment.
