Detalhes bibliográficos
| Ano de defesa: |
2014 |
| Autor(a) principal: |
Kfouri, Viviane de Oliveira |
| Orientador(a): |
Tonon, Durval José
 |
| Banca de defesa: |
Tonon, Durval José,
Couto, Maria Socorro Duarte da Silva,
Baumann, Luis Rodrigo Fernandes |
| Tipo de documento: |
Dissertação
|
| Tipo de acesso: |
Acesso aberto |
| Idioma: |
por |
| Instituição de defesa: |
Universidade Federal de Goiás
|
| Programa de Pós-Graduação: |
Programa de Pós-graduação em PROFMAT (RG)
|
| Departamento: |
Instituto de Matemática e Estatística - IME (RG)
|
| País: |
Brasil
|
| Palavras-chave em Português: |
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| Palavras-chave em Inglês: |
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| Área do conhecimento CNPq: |
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| Link de acesso: |
http://repositorio.bc.ufg.br/tede/handle/tde/2950
|
Resumo: |
It is shown, in this work, a study about the golden number, represented by the greek character (pronounced as \Fi"), in tribute to the greek sculptor F dias, who used to use this number in his works. It is done an algebraic approach, which is shown how to reach the number , using reasons, proportions and equations of second grade. It is also used geometric constructions for its achievement. The used metodology is made of theory and practice, proposing activities where the concret assists the instruction of abstract geometry, in the construction, for example, of the golden rectangle and the logarithmic spiral. It is also shown the intrinsic relationship of the golden number and the Fibonacci sequence and, as well, it is shown that is an irrational and algebric number. The main goal is to promote the thinking of the importance of this number through a project to be developed at the same time as the classes, for students of secondary schools. |
