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Direct linkStupel, Moshe; Fraivert, David; Jahangiri, Jay – International Journal for Technology in Mathematics Education, 2023
With the ever-evolving implementation of technology in the teaching and learning of geometry, the task of designing and/or finding suitable questions or problems that can facilitate and promote mathematical reasoning and accurately assess students' understanding of the subject matter can be a challenge. It is the aim of this article to share the…
Descriptors: Preservice Teachers, Mathematics Teachers, Geometry, Educational Technology
Oxman, Victor; Stupel, Moshe – International Journal of Mathematical Education in Science and Technology, 2022
We present action research of a problem posed as part of a multi-participant national (Israeli) test checking the mathematical knowledge of high school students at the ages of 16-17, where some of those who solved this problem made an error by using the converse to a well-known theorem, where the converse is not true. In order to examine the…
Descriptors: Knowledge Level, High School Students, Problem Solving, Error Patterns
Stupel, Moshe; Sigler, Avi; Tal, Idan – International Journal for Technology in Mathematics Education, 2019
We perform dynamic investigation of two surprising geometrical properties, each of which involves additional properties. In the first task the property belongs to two regular polygons with the same number of sides and with one common vertex. It is found that all the straight lines that connect corresponding vertices of the two polygons intersect…
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
Stupel, Moshe; Sigler, Avi; Tal, Idan – International Journal for Technology in Mathematics Education, 2019
An interesting Sangaku problem was chosen and a multidirectional study was performed, which included finding the locus of a circle's center moving while being tangent to two circles. It also included finding the radius of that circle given the datum that it is also tangent to the side of an isosceles triangle. Two different proofs are presented of…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Geometry
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
