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Direct linkWares, Arsalan; Custer, David – Mathematics Teacher: Learning and Teaching PK-12, 2023
Generalizing, conjecturing, representing, justifying, and refuting are integral parts of algebraic thinking and mathematical thinking in general (Lannin et al., 2011). The activity described in this article makes a case for generalizing as an overall mindset for any introductory algebra or geometry class by illustrating how generalization problems…
Descriptors: Mathematical Logic, Geometry, Algebra, Spatial Ability
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 – 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; Elstak, Iwan – International Journal of Mathematical Education in Science and Technology, 2017
The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. We first construct a simple origami box from a rectangular sheet and then discuss some of the mathematical questions that arise in the context of geometry and algebra. The activity can be used as a context for illustrating how algebra…
Descriptors: Geometry, Art Activities, Mathematics Activities, Algebra
