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Direct linkWares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2020
The purpose of this note is to describe several challenging problems in Euclidean geometry. The note also contains author's solution sketches to the two problems.
Descriptors: Mathematics Instruction, Problem Solving, Geometry, Mathematical Logic
Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2020
The purpose of these notes is to generalize and extend a challenging geometry problem from a mathematics competition. The notes also contain solution sketches pertaining to the problems discussed.
Descriptors: Generalization, Competition, Mathematics, Problem Solving
Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2018
These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.
Descriptors: Geometric Concepts, Geometry, Mathematical Models, Problem Solving
Wares, Arsalan – Australian Mathematics Education Journal, 2021
The purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Manipulative Materials
Wares, Arsalan; Elstak, Iwan – International Journal of Mathematical Education in Science and Technology, 2019
The purpose of these notes is to provide examples of large-scale geometry problems that have the potential to promote "constructive struggling" in high-school geometry classrooms. These problems are suitable for being explored in a dynamic geometry environment. The notes also contain brief sketches of solutions to the two problems.
Descriptors: Mathematics Instruction, Geometry, Problem Solving, High School Students
Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2019
These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.
Descriptors: Geometry, Geometric Concepts, Secondary School Mathematics, High School Students
Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2018
The purpose of this paper is to provide examples of "non-traditional" proof-related activities that can explored in a dynamic geometry environment by university and high school students of mathematics. These propositions were encountered in the dynamic geometry environment. The author believes that teachers can ask their students to…
Descriptors: Teaching Methods, Validity, Mathematical Logic, High School Students
Wares, Arsalan – Australian Senior Mathematics Journal, 2014
The purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem-solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Manipulative Materials
