1. Investigating the Circumregion.
- Author
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Byrd III, James L., Bossé, Michael J., and Spurr, Michael J.
- Subjects
- *
MATHEMATICS education , *GEOMETRY education , *EFFECTIVE teaching , *TEACHING methods , *MATHEMATICS students - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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