Introduction to the papers of TWG04: geometry teaching and learning

Abstract

In this overview of CERME11 Working Group 4 on geometry teaching and learning, three themes are identified: how space intervenes in ‘doing geometry’; learning geometry from cognitive and didactical points of view; teaching of geometry, including problem solving, manipulation with tools (including drawings), visualization, and proof. Considered as three ‘spaces’ involved in doing geometry (the physical one, the graphical one, and the geometrical one), ‘doing geometry’ consists in establishing relations between these ‘spaces’, and solving geometry problems needs to ‘grasp space’ and make the information usable in another kind of ‘space’. In learning geometry, general competencies such as creativity, flexibility, fluency, language, beliefs, etc., may affect the learning of specific topics. In the teaching of geometry, neither teaching nor teacher education should be only focused on mathematical contents or on a specific component (problem solving, manipulation with tools including drawings, visualization, proof) but should embrace the coordination between many of these contents and components.

More information

Identifiers

ORCID for Keith Jones: orcid.org/0000-0003-3677-8802

Catalogue record

Export record