Didactic sequences based on GeoGebra for the teaching of geometry in secondary education
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Abstract
This paper explores Information and Communication Technologies (ICT) for teaching geometry in secondary education, and in particular the Dynamic Geometry Software (DGS) GeoGebra. This software allows students to build geometric models in an interactive and dynamic way, through the free manipulation of mathematical objects, encouraging them to discover geometric concepts and properties on their own through the process of exploring practical situations (Mora Sánchez, 2007). We examine how DGS can be integrated into the secondary school curriculum to explain certain contents of the geometry block in the third year of Compulsory Secondary Education (CSE). The selected contents demonstrate the benefits of using this software to explain the necessary concepts, compared to the traditional method based on static representations. Two didactic sequences are designed to work with GeoGebra, a popular DGS software. The first one is aimed at working on the concept of the perpendicular bisector and the bisector, and the second one deals with axial and central symmetry. For both sequences, an overview is provided of the contents to be learnt, the assessment criteria and the assessable learning standards.
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