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Libeskind, Shlomo; Stupel, Moshe; Oxman, Victor – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we highlight examples from school mathematics in which invariance did not receive the attention it deserves. We describe how problems related to invariance stimulated the interest of both teachers and students. In school mathematics, invariance is of particular relevance in teaching and learning geometry. When permitted change…

Descriptors: Mathematics Instruction, Mathematical Concepts, Geometry, Teaching Methods

Oxman, Victor; Stupel, Moshe – International Journal of Mathematical Education in Science and Technology, 2018

A geometrical task is presented with multiple solutions using different methods, in order to show the connection between various branches of mathematics and to highlight the importance of providing the students with an extensive 'mathematical toolbox'. Investigation of the property that appears in the task was carried out using a computerized tool.

Descriptors: Mathematics Instruction, Problem Solving, Geometry, Algebra

Sigler, Avi; Segal, Ruti; Stupel, Moshe – International Journal of Mathematical Education in Science and Technology, 2016

Solution of problems in mathematics, and in particular in the field of Euclidean geometry is in many senses a form of artisanship that can be developed so that in certain cases brief and unexpected solutions may be obtained, which would bring out aesthetically pleasing mathematical traits. We present four geometric tasks for which different proofs…

Descriptors: Mathematical Logic, Validity, Mathematics, Mathematics Instruction