Cabri's role in the task of proving within the activity of building part of an axiomatic system

We want to show how we use the software Cabri, in a Geometry class for preservice mathematics teachers, in the process of building part of an axiomatic system of Euclidean Geometry. We will illustrate the type of tasks that engage students to discover the relationship between the steps of a geometri...

Full description

Autores:
Camargo, Leonor
Samper, Carmen
Perry, Patricia
Tipo de recurso:
Fecha de publicación:
2007
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/32032
Acceso en línea:
http://hdl.handle.net/1992/32032
http://funes.uniandes.edu.co/927/
Palabra clave:
Geometría (matemáticas superiores)
Software
Educación / Licenciaturas
Rights
openAccess
License
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Description
Summary:We want to show how we use the software Cabri, in a Geometry class for preservice mathematics teachers, in the process of building part of an axiomatic system of Euclidean Geometry. We will illustrate the type of tasks that engage students to discover the relationship between the steps of a geometric construction and the steps of a formal justification of the related geometric fact to understand the logical development of a proof; understand dependency relationships between properties; generate ideas that can be useful for a proof; produce conjectures that correspond to theorems of the system; and participate in the deductive organization of a set of statements obtained as solution to open-ended problems.