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deTeresa B. Thesis


On April 1, 2009 Maria Teresa Bixirão Neto (University of Aveiro, Portugal ) defended his doctoral thesis,

O Raciocínio Dedutivo ao Desenvolvimento do Ensino Secundário Nível do, Use of Plane Geometry

This thesis used as the main framework ontosemiotic approach, and was directed by Professors doctors, Ana
Breda, Department Mathematics, University of Aveiro
Nilza Costa, Department of Teaching and Technology University of Aveiro.

ABSTRACT: This paper
within the mathematics education focuses on the study of alternative approaches to learning and teaching of Euclidean geometry in high school, to promote structured levels of mathematical thinking. In particular, the potential of using other models of plane geometry (eg Hyperbolic Geometry, Geometry of Taxi Driver) in relation to this problem will be investigated.
The choice of secondary education due to the fact that it is a level of education where there is a high rate of failure at school (especially at 10 years) and where it is clear the gap between the secondary and university education, under the logic - deductive.
The work aims to deepen the study of issues involved the nature of knowledge that will form the basis for decisions such as: Which processes will be taught? Processes that we want students to master? And, moreover, take into account that you want to develop higher order skills, meaning that the teaching of mathematics should proceed to higher levels of thinking such as problem solving, communicating mathematically, reasoning and demonstration.
In math curriculum for the Elementary and Secondary Education has been neglected mathematical demonstration, contributing to an inconsistency that exists between levels of education, secondary and university levels. Often teaching approaches focus on the verification of results and devalue the exploration and explanation (Villiers, 1998). Currently, we are witnessing a trend to resume logic - deductive.
The main objective of this research is to examine learning environments where students are asked to solve problems of proof in various contexts and, more generally promote or do Raciocínio desenvolvimento e uma visão mais dedutivo long do Conhecimento mathematician. Em particular problems abordagem prova não num context of Euclidean geometry, ea com devices use dynamic geometry software, will be investigated.