Problem solving through an optimization problem in geometry

Kin Keung Poon ^[1] ; Hang-Chi Wong ^[1]
1. [1] Department of Mathematics and Information Technology, The Hong Kong Institute of Education, China
Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 30, Nº. 2, 2011, págs. 53-61
Idioma: inglés
DOI: 10.1093/teamat/hrr006
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Resumen
- This article adapts the problem-solving model developed by Pólya to investigate and give an innovative approach to discuss and solve an optimization problem in geometry: the Regiomontanus Problem and its application to football. Various mathematical tools, such as calculus, inequality and the properties of circles, are used to explore and reflect on the different aspects of the problem and its solution. In addition, other than the traditional calculus approach to solve this problem, an elegant geometric approach is introduced.