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Direct linkde 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
Download full textAlves, 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
Aguilar-Magallón, Daniel Aurelio; Fernández, Willliam Enrique Poveda – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
This article reports and analyzes different types of problems that nine students in a Master's Program in Mathematics Education posed during a course on problem solving. What opportunities (affordances) can a dynamic geometry system (GeoGebra) offer to allow in-service and in-training teachers to formulate and solve problems, and what type of…
Descriptors: Educational Technology, Technology Uses in Education, Problem Solving, Masters Programs
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
Goos, Merrilyn, Ed.; Brown, Ray, Ed.; Makar, Katie, Ed. – Mathematics Education Research Group of Australasia, 2008
This document presents the proceedings of the 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of this conference is "Navigating Currents and Charting Directions." The theme reminds us that, although we are constantly pushed to account for the quality and impact of our research, we…
Descriptors: Feedback (Response), Constructivism (Learning), Educational Development, Practicums
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…
Descriptors: Student Teachers, Mathematics Education, Teacher Effectiveness, Metalinguistics
