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Original Research
A dynamic approach to quadrilateral definitions
Pythagoras | Issue 59 | a130 |
DOI: https://doi.org/10.4102/pythagoras.v0i59.130
| © 2004 Rajendran Govender, Michael de Villiers
| This work is licensed under CC Attribution 4.0
Submitted: 20 October 2004 | Published: 20 October 2004
Submitted: 20 October 2004 | Published: 20 October 2004
About the author(s)
Rajendran Govender, University of the North, South AfricaMichael de Villiers, University of Durban-Westville, South Africa
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Abstract
This study examined 18 prospective secondary mathematics teachers' understanding of the nature of definitions, and their use of the dynamic geometry software Sketchpad to improve not only their understanding of definitions but also their ability to define geometric concepts themselves. Results indicated that the evaluation of definitions by accurate construction and measurement enabled students to achieve a better understanding of necessary and sufficient conditions, as well as the ability to more readily find counter-examples, and to recognise and improve on uneconomical definitions.
Keywords
geometry; Geometer's Sketchpad; definitions;
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1. Pre-Service Mathematics Teachers’ Understanding of Quadrilaterals and the Internal Relationships between Quadrilaterals: The Case of Parallelograms
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European Journal of Educational Research vol: 6 issue: 3 first page: 331 year: 2017
doi: 10.12973/eu-jer.6.3.331