Geometric locus activities in a dynamic geometry system. Non-iconic visualization and instrumental genesis
This paper presents a study on the use of geometric locus using a dynamic geometry system (GeoGebra) in order to pass from Geometry II (a natural proto - axiomatic Geometry) to Geometry III (a complete axiomatic Geometry). The research was conducted with 30 Spanish college prospective mathematics te...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2014 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/102023 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/102023 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Estrategias de resolución de problemas Visualización Aprendizaje interactivo Diagramas Lugares geométricos Formación del profesorado Representaciones visuales Razonamiento Geometría GeoGebra Didáctica 1204 Geometría |
| Resumo: | This paper presents a study on the use of geometric locus using a dynamic geometry system (GeoGebra) in order to pass from Geometry II (a natural proto - axiomatic Geometry) to Geometry III (a complete axiomatic Geometry). The research was conducted with 30 Spanish college prospective mathematics teachers. The Geometrical Working Space theory (GWS) was used as a theoretical framework to describe the figurative and instrumental genesis processes involved in the learning processes in computer environments. To study these two geneses, iconic visualization versus non - iconic visualization, along with instrumental and dimensional deconstruction concepts, was used. The authors identify typologies of images and visualization uses. Keywords: Problem - solving strategies, Visualization, Interactive learning, Diagrams, Loci, Teacher training, Visual representations, Reasoning, Geometry, GeoGebra. |
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