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de Villiers, Michael – International Journal of Mathematical Education in Science and Technology, 2021
It's often useful extending students beyond the limiting geometry of triangles and quadrilaterals to regularly consider generalizations of results for triangles and quadrilaterals to higher order polygons. A brief heuristic description is given here of the author applying this strategy, and which led to an interesting result related to the…
Descriptors: Heuristics, Mathematics Instruction, Geometry, Generalization
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Isotani, Seiji; Reis, Helena M.; Alvares, Danilo; Brandão, Anarosa A. F.; Brandão, Leônidas O. – Interactive Learning Environments, 2018
Interactive or Dynamic Geometry System (DGS) is a tool that help to teach and learn geometry using a computer-based interactive environment. Traditionally, the interaction with DGS is based on keyboard and mouse events where the functionalities are accessed using a menu of icons. Nevertheless, recent findings suggest that such a traditional model…
Descriptors: Computer Assisted Instruction, Mathematics Instruction, Geometry, Dictionaries
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Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2016
Admittedly, the study of Complex Analysis (CA) requires of the student considerable mental effort characterized by the mobilization of a related thought to the complex mathematical concepts. Thus, with the aid of the dynamic system Geogebra, we discuss in this paper a particular concept in CA. In fact, the notion of winding number v[f(gamma),P] =…
Descriptors: Mathematical Concepts, Concept Teaching, Geometric Concepts, Geometry