Banca de DEFESA: CARLOS AUGUSTO DO NASCIMENTO VIEIRA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : CARLOS AUGUSTO DO NASCIMENTO VIEIRA
DATA : 27/09/2018
HORA: 14:00
LOCAL: UFCA
TÍTULO:

On Non-Euclidean Geometry

PALAVRAS-CHAVES:

Non-Euclidean Geometry, Fifth Postulate of Euclid, Educational Softwares.

PÁGINAS: 61
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

In this work we present an introductory text of the non-Euclidean geometries focusing on the study of the differences with Euclidean geometry, approaching all the development of the same and its main exponents. Euclid of Alexandria is considered the father of geometry, thanks to his ability to write and expose geometric concepts, being the first to use rigor in mathematical demonstrations. We discuss the emergence of non-Euclidean geometries with the study of the fifth postulate of Euclid, the only one of the five that was unclear about its validity. Next, we show two educational software of dynamic geometry, Cinderella and Geogebra, used to facilitate the understanding about the models that we use in non-Euclidean geometry. Finally, we propose activities for teachers and students that will allow the appropriation of the concepts of these geometries.

MEMBROS DA BANCA:
Interno - 1367703 - CLARICE DIAS DE ALBUQUERQUE
Presidente - 2372129 - ERICA BOIZAN BATISTA
Interno - 6311481 - PLACIDO FRANCISCO DE ASSIS ANDRADE