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Sinitsky, Ilya; Stupel, Moshe; Sinitsky, Marina – International Journal of Mathematical Education in Science and Technology, 2018
The paper explores the division of a polygon into equal-area pieces using line segments originating at a common point. The mathematical background of the proposed method is very simple and belongs to secondary school geometry. Simple examples dividing a square into two, four or eight congruent pieces provide a starting point to discovering how to…
Descriptors: Geometric Concepts, Plane Geometry, Arithmetic, Mathematics Instruction
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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