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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

Segal, Ruti; Stupel, Moshe; Sigler, Avi; Jahangiril, Jay – International Journal of Mathematical Education in Science and Technology, 2018

In this paper we present the results of a study which was carried out in an inquiry-based teaching and learning environment with the use of 'what if not' methodology coupled with the integration of dynamic geometry software. The vast majority of the students reported that they perceived themselves as participants rather than spectators. Most of…

Descriptors: Inquiry, Active Learning, Geometry, Computer Software

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

Katz, Sara; Stupel, Moshe – International Journal of Mathematical Education in Science and Technology, 2016

Individuals and societies that can use mathematics effectively in this period of rapid changes will have a voice on increasing the opportunities and potentials which can shape their future. This has brought affective characteristics, such as self-efficacy, that affect mathematics achievement into focus of the research. Teacher efficacy refers to…

Descriptors: Mathematics Achievement, Elementary School Mathematics, Mathematics Teachers, Teacher Attitudes

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