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Byrd, James L., III; Bossé, Michael J.; Spurr, Michael J. – International Journal of Mathematical Education in Science and Technology, 2021
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),…
Descriptors: High School Students, Secondary School Mathematics, Geometric Concepts, Mathematics Skills
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Reiter, Harold; Holshouser, Arthur; Vennebush, Patrick – Mathematics Teacher, 2012
Getting students to think about the relationships between area and perimeter beyond the formulas for these measurements is never easy. An interesting, nonroutine, and accessible problem that will stimulate such thoughts is the Lattice Octagon problem. A "lattice polygon" is a polygon whose vertices are points of a regularly spaced array.…
Descriptors: Geometric Concepts, Plane Geometry, Secondary School Mathematics, Mathematics Instruction
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Hohenwarter, Markus – New England Mathematics Journal, 2011
This article discusses two examples of geometric problem solving suitable for middle and high school students. Both problems are related to students' everyday life experience and allow them to discover deep connections between mathematical properties and nature. With the help of dynamic mathematics software, students have the opportunity to…
Descriptors: Geometric Concepts, Geometry, Problem Solving, Middle School Students