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Yiu-Kwong Man – International Journal of Mathematical Education in Science and Technology, 2025
In this paper, a simple proof of the Morley's Trisector Theorem is presented which involves basic plane geometry only. The use of backward geometric approach, trigonometry or advanced mathematical techniques is not required. It is suitable for introducing to secondary or undergraduate students, as well as teachers or instructors for learning or…
Descriptors: Plane Geometry, Mathematical Logic, Validity, Secondary School Mathematics
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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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Oxman, Victor; Stupel, Moshe – International Journal of Mathematical Education in Science and Technology, 2021
The present paper describes a dynamic investigation of polygons obtained by reflecting an arbitrary point located inside or outside a given polygon through the midpoints of its sides. The activity was based on hypothesizing on the shape of the reflection polygon that would be obtained, testing the hypotheses using dynamic software, and finding a…
Descriptors: Mathematics Instruction, Preservice Teachers, Preservice Teacher Education, Geometric Concepts