| Summary: | Orientador: Prof. Dr. André Ricardo Oliveira da Fonseca === Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional, 2014. === Our work aims to make a brief study on polyhedrons, focusing specially
on solid platonics. First, we will present the historical moment in which this
topic was discussed, as well as mention the mathematicians who contributed
to the first studies about it. Then, we will explain what are regular polygons,
dihedral angle and regular polyhedron. We will also discuss the reasons why
there are only five solid platonics and we will demonstrate the Euler Characteristics,
through induction. We will provide sample activities, which can be
used in classrooms, in order to in
uence positivetly the learning process of
students. Therefore, such students will be able to better learn and understand
the content, rather than just decorating the \formulas". We will also
show an intuitive idea of calculating the area and volumes of solid platonics,
which is something rarely demonstrated in textbooks. Further on, we will
demonstrate how this topic is presented by the National Curriculum Parameters
\Parâmetros Curriculares Nacionais (PCN)", and relate it to how it
is developed and and taught since the first years of schools until the second
year of High School, time in which this topic is more deeply studied. There
are sample questions, which can be found in national examinations, such
as Saresp (São Paulo's government exam) and ENEM (Federal government
exam). Throughout this work you will be able to see imagens that were taken
during a project envolving students from a second High School year, which
was taken place a public school.
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