Título: | THE PATTERN OBSERVATION: MATHEMATICAL MODELING THROUGH NUMERICAL SEQUENCES AND GEOMETRIC OBJECTS | ||||||||||||
Autor: |
LUANA MIRANDA BALTAZAR TITONELI |
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Colaborador(es): |
EDUARDO BARBOSA PINHEIRO - Orientador |
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Catalogação: | 22/FEV/2018 | Língua(s): | PORTUGUESE - BRAZIL |
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Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
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Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=33077&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=33077&idi=2 |
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DOI: | https://doi.org/10.17771/PUCRio.acad.33077 | ||||||||||||
Resumo: | |||||||||||||
This work is an analysis of patterns that are modeled mathematically through concepts involving numerical sequences as well as geometric aspects. Some practical applications of content worked in basic education are considered, often mechanically studied through formulas that make Mathematics boring and even meaningless to students. The goal is to show that Mathematics transposes the boundaries of classrooms and that its beauty can be seen in several areas. The ideas and concepts that involve Arithmetic and Geometric Progressions, for example, are useful in solving various situations. The musical art that is shrouded in mathematical knowledge from the beginnings of its development. The studies developed with the Fibonacci sequence and how it is related to the golden ratio and with natural phenomena that apparently would have nothing in common. In addition, the presence so striking in the nature of the characteristics of the fractals that lay out a pattern of formation for certain natural elements. It is possible to make the teaching-learning process of Mathematics become effective by approaching the contents in a practical way, which awakens in the student the desire to understand what is proposed. This work is inspired by the phrase of Pythagoras: Mathematics is the alphabet with which God wrote the Universe and what is intended is to show that this science is indeed everywhere and that its learning can be meaningful and interesting.
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