Investigating the Circumregion

• James L. Byrd III ^[1] ; Michael J. Bossé ^[2] ; Michael J. Spurr ^[3]
  1. [1] College of the Albemarle

     College of the Albemarle

     Township of Mount Hermon, Estados Unidos

     
  2. [2] Appalachian State University

     Appalachian State University

     Township of Boone, Estados Unidos

     
  3. [3] East Carolina University

     East Carolina University

     Township of Greenville, Estados Unidos

     

  Mostrar afiliaciones +
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 52, Nº. 6, 2021, págs. 857-878
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Often, straightforward notions from one mathematical domain, when altered even slightly, can become rich and rewarding investigations involving numerous additional domains – particularly when the investigation includes rigorous proof. This study begins with a familiar high school geometry problem (namely finding the circumcentre of a triangle), extends it to the study of equidistance and analyses the problem using geometry in concert with a number of other mathematical areas to construct a new region called the Circumregion. Altogether, the beautiful and intricate interconnectedness of mathematics is both employed and demonstrated.