The standard proof, the elegant proof, and the proof without words of tasks in geometry, and their dynamic investigation

• Avi Sigler ^[1] ; Ruti Segal ^[2] ; Moshe Stupel ^[3]
  1. [1] Jerusalem and Technological College for Aviation Professions
  2. [2] Haifa and Oranim College
  3. [3] Shaanan College

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• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 47, Nº. 8, 2016, págs. 1226-1243
• Idioma: inglés
• DOI: 10.1080/0020739x.2016.1164347
• Texto completo no disponible (Saber más ...)
• Resumen

  • Solution of problems in mathematics, and in particular in the field of Euclidean geometry is in many senses a form of artisanship that can be developed so that in certain cases brief and unexpected solutions may be obtained, which would bring out aesthetically pleasing mathematical traits. We present four geometric tasks for which different proofs are given under the headings: standard proof, elegant proof, and the proof without words. The solutions were obtained through a combination of mathematical tools and by dynamic investigation of the geometrical properties.