masterThesis
Geometria e números construtíveis: história e prática
Fecha
2018-10-23Registro en:
SOUZA, Gibran Medeiros de. Geometria e números construtíveis: história e prática. 2018. 82f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências Exatas e da Terra, Universidade Federal do Rio Grande do Norte, Natal, 2018.
Autor
Souza, Gibran Medeiros de
Resumen
This work has as main objective the search for the valuation of basic and
fundamental practices such as the use of ruler and compass in the classroom. Something
so neglected in several of our schools almost being abolished from various school
curricula. The use of the ruler and compass in the classroom is nothing more than the
most concrete and visual form of the student to see how one can construct complex
geometric shapes and construct segments of lines with due measures from a previously
fixed segment as unit . The demonstrations of the constructions is also of extreme
relevance for the deepening of the content. Then it is welcome that the student knows
some ground plane geometry as similarity of triangles, Pythagorean theorem, point
power, Tales theorem, etc. The work itself does not exclude the use of GeoGebra's
powerful software. In fact, the joining of the ruler and compass with GeoGebra would be
ideal in the classroom. The work is divided into three parts: The first part are basic
constructions such as performing angular transfer, summing the subtraction of angles,
tracing the bisector of a given angle and constructing the perpendicular bisector of a given
segment among others. The second part is the inscription of regular polygons given a
circumference given with due justifications. The third part is the construction of rational
numbers.