NotesFAQContact Us
Collection
Advanced
Search Tips
Showing all 6 results Save | Export
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
Srinivasan, V. K. – International Journal of Mathematical Education in Science and Technology, 2012
Three unheralded results, two in Coordinate Geometry and the other in Plane Geometry, provide three proofs of a theorem dubbed by this author as "The Fundamental Theorem". The above theorem offers a uniform proof establishing the positive integral nature of the radii of the incircle and the three escribed circles associated with the right triangle…
Descriptors: Geometric Concepts, Plane Geometry, Mathematics Instruction, Validity
Peer reviewed Peer reviewed
Direct linkDirect link
Man, Y.-K. – International Journal of Mathematical Education in Science and Technology, 2007
In this note, a simple proof of the Generalized Ceva Theorem in plane geometry is presented. The approach is based on the principle of equilibrium in mechanics. (Contains 2 figures.)
Descriptors: Plane Geometry, Validity, Mathematical Logic, Geometric Concepts
Peer reviewed Peer reviewed
Direct linkDirect link
Bodroza-Pantic, O.; Matic-Kekic, Snezana; Jakovljev, Bogdanka; Markovic, Doko – International Journal of Mathematical Education in Science and Technology, 2008
In this paper the didactically-methodological procedure named the MTE-model of mathematics teaching (Motivation test-Teaching-Examination test) is suggested and recommended when the teacher has subsequent lessons. This model is presented in detail through the processing of a nonstandard theme--the theme of decomposition of planes. Its efficiency…
Descriptors: Vocational Schools, Foreign Countries, Control Groups, Models