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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
Donevska-Todorova, Ana; Lieban, Diego – International Journal for Technology in Mathematics Education, 2021
There has been a large amount of research about the impact of dynamic geometry software (DGS) on the learning of mathematics mainly related to different representations of mathematical concepts and functional dependences. This paper goes beyond these investigations by suggesting meaningful connection and integration of DGS with physical resources…
Descriptors: Geometry, Problem Solving, Mathematics Instruction, Heuristics
Dimitriou-Hadjichristou, Chrysoula; Ogbonnaya, Ugorji I. – African Journal of Research in Mathematics, Science and Technology Education, 2015
This paper reports a study on the effect of using the Lakatosian heuristic method to teach the surface area of a cone (SAC) on students' achievement according to Bloom's taxonomy levels. Two groups of students (experimental and control) participated in the study. The experimental group (n = 20) was taught using the Lakatosian heuristic method…
Descriptors: Heuristics, Teaching Methods, Geometry, Geometric Concepts