Master's Dissertation
DOI
10.11606/D.55.2016.tde-30082016-161719
Document
Author
Full name
Andre Luiz Brazão
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2015
Supervisor
Committee
Mesquita, Jaqueline Godoy (President)
Grulha Junior, Nivaldo de Góes
Santos, Jair Silverio dos
Tacuri, Patricia Hilario
Title in Portuguese
Geometria euclidiana plana e suas aplicações no ensino básico
Keywords in Portuguese
Áreas de figuras planas
Geogebra
Geometria plana euclidiana
Geoplano
Abstract in Portuguese
Title in English
Euclidean plane geometry and its applications to basic education
Keywords in English
Areas of plane figures
Euclidean plane geometry
Folding
Geogebra
Geoplane
Abstract in English
In this work, we present the main concepts and results of the Euclidean Plane Geometry, presenting the basic definitions, axioms, as well the main results of this theory. Also, we bring some ways to present these concepts in the elementary education, using technological tools (as geogebra) as well ludic tools (such as folding and geoplane). This dissertation is divided into ten chapters . Chapters 2, 3 , 4, 5 , 6, 7 and 8 are devoted to present the basic concepts and the main results of this theory. In Chapter 9, we present proposals of activities using the technological tool called geogebra which treats about the main concepts and results in Euclidean Plane Geometry. The described activities were made with the students of the school Profa. Dolores Martins de Castro at the Department of Computation and Mathematics of the University of São Paulo, campus Ribeirão Preto. In Chapter 10, we present several proposals for activities using ludic tools. The used tools were folding and Geoplane. This work is presented as a script, which can be followed by the professor throughout elementary education and presents several pedagogical proposals to be applied in classrooms. Our goal is to offer to the reader a contextualized and didatical approach of the contents, which can be easily followed.