Dynamic Geometry
Code
8507
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
3.0
Teacher in charge
Rui Alberto Pimenta Rodrigues
Weekly hours
3
Total hours
36
Teaching language
Português
Objectives
The students should learn to make geometric constructions to solve problems in plane euclidean geometry and notice the advantages of dynamic geometry computer programs in lerning and teaching geometry.
Prerequisites
There are no.
Subject matter
- Introduction to computer program ''''''''Geogebra''''''''
- Introduction to plane euclidean geometry: points and lines, angles, length of a segment, paralell lines.
-Triangles, triangle inequlity, traingle congruence and similarity
-Geometric constructions
-Rule and compass constructions
-Geometric tranformations: translations, rotations, reflexions and scaling
.Conic sections: elipse, parabola e hiperbola.
Bibliography
Paulo Ventura Araújo, Curso de Geometria, gradiva
Teaching method
In classroom each student has its own computer with a dinamic geometry program instaled. After a first class with a general introduction, most of the time in classes is used to discuss the resolution of problems solved at home by the students. Sometimes the teacher presents shortly the subject for the next class or introduces new technics necessary to solve the problems proposed for the following week.
Evaluation method
Stundents need to be present in 2/3 of the classes.
There will be three tests to be done during the classes.
There is a final exam.
To get a final note superior to 16, the students must be submitted to a supplementary test.