Frações contínuas e aplicações no ensino médio
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Data
2013-03-15
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Universidade Federal de Goiás
Resumo
Continued Fractions and applications in High School begins with the historical
context, the socially constructed over 2500 years, over which originated the study and
training of numerical sets in order to substantiate the importance of irrational numbers
and their peculiarities . Reintroducing some basic concepts of Numerical Sequences
and their converging that are important for understanding the study of approaches
from the study of continuous fraction. The discussion and centered on the study of
continued fractions, exploring its historical part, basic concepts and their relation to
the Euclidean algorithm. It is shown the importance of both approximations of rational
numbers as irrational, in order to decrease the gap between finite and infinite for the
construction of all the dollars. In the final chapter I present a mini-course for high
school students, public school, looking for higher courses in the exact sciences and aim
to achieve greater integration with this important segment. All matters discussed in
this work will be developed in the course, showing their properties and applications.
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Citação
NASCIMENTO, Amanda Melo do. Frações contínuas e aplicações no ensino médio. 2013. 66 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Universidade Federal de Goiás, Goiânia, 2013.