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Wares, 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, 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