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Previous issue date: 2013-03-08 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / The present work focused on developing teaching activities that would provide to the student
in initial teacher training, improving the ability of mathematical reasoning and hence a greater
appreciation of the concepts related to the golden section, the irrational numbers, and the
incommensurability the demonstration from the reduction to the nonsensical. This survey is
classified itself as a field one which data collection were inserted within a quantitative and
qualitative approach. Acted in this research, two classes in initial teacher training. These were
teachers and employees of public schools and local governments, living in the capital, in
Natal Metropolitan Region - and within the country. The empirical part of the research took
place in Pedagogy and Mathematics courses, IFESP in Natal - RN. The theoretical and
methodological way construction aimed to present a teaching situation, based on history,
involving mathematics and architecture, derived from a concrete context - Andrea Palladio s
Villa Emo. Focused discussions on current studies of Rachel Fletcher stating that the architect
used the golden section in this village construction. As a result, it was observed that the
proposal to conduct a study on the mathematical reasoning assessment provided, in teaching
and activity sequences, several theoretical and practical reflections. These applications,
together with four sessions of study in the classroom, turned on to a mathematical thinking
organization capable to develop in academic students, the investigative and logical reasoning
and mathematical proof. By bringing ancient Greece and Andrea Palladio s aspects of the
mathematics, in teaching activities for teachers and future teachers of basic education, it was
promoted on them, an improvement in mathematical reasoning ability. Therefore, this work
came from concerns as opportunity to the surveyed students, thinking mathematically. In fact,
one of the most famous irrational, the golden section, was defined by a certain geometric
construction, which is reflected by the Greek phrase (the name "golden section" becomes
quite later) used to describe the same: division of a segment - on average and extreme right.
Later, the golden section was once considered a standard of beauty in the arts. This is
reflected in how to treat the statement questioning by current Palladio s scholars, regarding
the use of the golden section in their architectural designs, in our case, in Villa Emo / O presente trabalho teve como foco desenvolver atividades de ensino, que proporcionassem,
ao aluno na forma??o inicial de professores, uma melhoria ? capacidade de racioc?nio
matem?tico e, consequentemente, uma maior aprecia??o dos conceitos relacionados ? se??o
?urea, aos n?meros irracionais, ? incomensurabilidade e ? demonstra??o da redu??o ao
absurdo. A pesquisa classifica-se como de campo, cujos dados de coleta foram inseridos
dentro de uma abordagem quanti-qualitativa. Atuaram, na investiga??o, duas turmas em
forma??o inicial de professores. Esses eram docentes e funcion?rios da rede p?blica estadual e
municipal, residentes na capital, na Regi?o Metropolitana de Natal Grande Natal e no
interior do estado. A parte emp?rica da pesquisa realizou-se nos cursos de Pedagogia e na
licenciatura de Matem?tica do IFESP, em Natal RN. A constru??o do caminho te?rico e
metodol?gico teve como prop?sito apresentar uma situa??o de ensino baseada na hist?ria,
envolvendo a matem?tica e a arquitetura, oriunda de um contexto concreto a Villa Emo de
Andrea Palladio. Centraram-se as discuss?es nos estudos atuais de Rachel Fletcher ao afirmar
que o arquiteto usou se??o ?urea na constru??o da referida vila. Como resultado, observou-se
que a proposta de realizar um estudo sobre a aprecia??o do racioc?nio matem?tico
proporcionou, no decorrer das sequ?ncias de ensino e atividade, diversas reflex?es te?ricas e
pr?ticas. Essas aplica??es, aliadas a quatro sess?es de estudo, em sala de aula, voltaram-se
para uma organiza??o do pensamento matem?tico capaz de desenvolver, nos acad?micos, o
racioc?nio l?gico e investigativo e demonstra??o matem?tica. Ao trazer aspectos da
matem?tica da Gr?cia Antiga e de Andrea Palladio, em atividades de ensino para professores
e futuros professores da educa??o b?sica, promoveu-se, neles, uma melhoria na capacidade de
racioc?nio matem?tico. Portanto, esse trabalho partiu de inquieta??es em oportunizar aos
alunos pesquisados, o pensar matematicamente. De fato, um dos mais famosos irracionais, a
se??o ?urea, foi definido atrav?s de certa constru??o geom?trica, o que ? refletido pela frase
grega (o nome se??o ?urea ? bastante posterior) usada para descrever o mesmo: divis?o de
um segmento em m?dia e extrema raz?o. Posteriormente, a se??o ?urea chegou a ser
considerada um padr?o de beleza nas artes. Isso se reflete em como aproveitar a afirma??o do
questionamento feito por atuais estudiosos de Palladio, quanto ao uso da se??o ?urea nos seus
projetos arquitet?nicos, no nosso caso, na Villa Emo
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/14444 |
| Date | 08 March 2013 |
| Creators | Costa, Francisca Vandilma |
| Contributors | CPF:13056476453, http://lattes.cnpq.br/2466525106349625, Pontes, Maria Gilvanise de Oliveira, CPF:11240393334, http://lattes.cnpq.br/2910183324330182, Lucena, Isabel Cristina Rodrigues de, CPF:38149877215, http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4704177Y0, Mendes, Iran Abreu, CPF:12432962249, http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4704236U8, Noronha, Claudianny Amorim, CPF:59388374215, http://lattes.cnpq.br/3258090174478169, Fossa, John Andrew |
| Publisher | Universidade Federal do Rio Grande do Norte, Programa de P?s-Gradua??o em Educa??o, UFRN, BR, Educa??o |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/doctoralThesis |
| Format | application/pdf |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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