Computational Science – ICCS 2006

Volume 3992 of the series Lecture Notes in Computer Science pp 470-477

Automated Discovery in Elementary Extrema Problems

  • Francisco BotanaAffiliated withDepartamento de Matemática Aplicada I, Universidad de Vigo
  • , José L. ValcarceAffiliated withDepartamento de Matemáticas, IES Pontepedriña

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This paper describes an enhancement of GDI, a dynamic geometry environment that uses symbolic techniques for performing automatic proof and discovery in elementary geometry. We report a successful add–on that automatically discovers critical points in elementary extrema problems specified via diagrams. Based in classical one variable calculus, the new module, Optimus, is a step ahead in the cooperation between dynamic geometry and computer algebra systems. It can be used in technology rich environments for mathematics education, adding new calculus abilities to dynamic geometry software.