Class Didactics of Geometry

UCDGD offers continuous and specific training in the different fields of the discipline, introducing, reinforcing and deepening scientific knowledge, synchronously equips students with technical and didactic skills focused on the area of knowledge.

It intend to reflect and reflect on the nature of dihedral representation in the relationships that are established between entity, projection, space and system, focusing on imagination and geometric and critical thinking.

The place of discipline among the sciences of representation (in the synthetic variant) will be observed, as well as the translation and proximity with regard to the analytical sciences, taking care of the language itself, without neglecting the philosophical-epistemological importance.

UCDGD develops the communication that is established between form and its descriptive representation, aiming to operate not only at the ideal level, but also, as applied science, at the action level for different curricula.

Syllabus:

1. Framework of the discipline of Descriptive Geometry in the widest sense of the historic legacy of the Geometric Sciences and the Representation Theories.
2. Philosophical and epistemological affiliation of the mechanisms and experiences of understanding in Geometry.
3. Different pedagogic approaches to the issue of teaching/learning in Descriptive Geometry.
4. Classification and taxonomy of geometric figures.
5. Fundamental geometric concepts: redefinition of the projective practice and representation systems.
6. Disciplinary characterization of the Diedric System or Monge is Method.
7. Generic studies of Point, Straight Line, Plane and Auxiliary Geometric Methods in Double Orthogonal Projection.
8. Advance representation issues in Double Orthogonal Projection.
9. Notion of Exercise and Problem in Descriptive Geometry.

Collaborative «role-play».

Aguilar, Leonildo Teixeira - Alguns conceitos geométricos. Lisboa: SPA, 1997. ISBN: 972-726-097-7

Bensabat, Fernando - Ensinar Geometria Descritiva. Abóboda: 1995. Texto policopiado.

Izquierdo Asensi, Fernando - Geometría descriptiva. Madrid: Paraninfo, 1993. ISBN: 84-604-7480-1

Izquierdo Asensi, Fernando - Geometría descriptiva superior e aplicada. Madrid: CLM, 2002. ISBN: 84-922109-4-X

Merleau-Ponty, Maurice - Fenomenologia da Percepção. São Paulo: Martins Fontes, 2006. ISBN: 85-336-2293-7

Müller, Maria João - Manual de Geometria Descritiva A | 10.º ano. Porto: Porto Editora, 2013. ISBN: 978-972-0-42402-0

Ricca, Guilherme - Geometria descritiva: método de monge. Lisboa: Fundação Calouste Gulbenkian, 2006. ISBN: 972-31-0547-0

Xavier, J. & Rebelo, J. - [Programa de] Geometria Descritiva A, 10º e 11º ou 11º e 12º anos - Curso Científico-Humanístico de Ciências e Tecnologias e Curso Científico-Humanístico de Artes Visuais. Ministério da Educação. Departamento do Ensino Secundário, 2001.