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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
Sigler, Avi; Stupel, Moshe; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017
Students use GeoGebra to explore the mathematical relations among different radii of circles in a triangle (circumcircle, incircle, excircles) and the sides and other segments in the triangle. The more formal mathematical development of the relations that follows the explorations is based on known geometrical properties, different formulas…
Descriptors: Mathematics Instruction, Computer Software, Educational Technology, Geometric Concepts
Oxman, Victor; Stupel, Moshe; Segal, Ruti – International Journal of Mathematical Education in Science and Technology, 2017
An important and interesting area in the study of triangle geometry is the related issue of extrema problems and inequalities. These problems play a significant role in the mathematics study program in high school. In tasks such as these, the difficulty level is high when one does not know in advance what the expected answer is. When one knows…
Descriptors: Mathematics Instruction, Geometric Concepts, Teaching Methods, Secondary School Mathematics