Investigating the Circumregion. Issue 6 (3rd July 2021)

• Record Type: Journal Article
• Authors: Byrd, James L.; Bossé, Michael J.; Spurr, Michael J.
• Is Part Of: International journal of mathematical education in science and technology. Volume 52:Issue 6(2021)
• Page Start: 857
• Page End: 878
• Publication Date: 2021-07-03
• Subjects: Exploration and discovery in geometry -- equidistance -- Euclidean space -- metric space; Mathematics -- Study and teaching -- Periodicals; Mathematics -- Periodicals; 510.07
• DOI: 10.1080/0020739X.2020.1719442
• Languages: English
• ISSNs: 0020-739X

Abstract

ABSTRACT: 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.