An explanatory, transformation geometry proof of a classic treasure-hunt problem and its generalization

• Michael de Villiers ^[1]
  1. [1] Stellenbosch University

     Stellenbosch University

     Stellenbosch, Sudáfrica

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 48, Nº. 2, 2017, págs. 260-267
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper discusses an interesting, classic problem that provides a nice classroom investigation for dynamic geometry, and which can easily be explained (proved) with transformation geometry. The deductive explanation (proof) provides insight into why it is true, leading to an immediate generalization, thus illustrating the discovery function of logical reasoning (proof).