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[en] AN INTERDISCIPLINARY PERSPECTIVE ON DESARGUES THEOREM / [pt] UMA VISÃO INTERDISCIPLINAR DO TEOREMA DE DESARGUESFELIPE ASSIS DA COSTA 23 May 2024 (has links)
[pt] A presente dissertação analisa a relação interdisciplinar entre a matemática e
as artes, dando especial destaque ao Teorema de Desargues como uma ponte entre
estas áreas. Destaca-se a importância atual da interdisciplinaridade na educação,
embasada pela Base Nacional Comum Curricular (BNCC), que dá destaque à
integração de tecnologia e conhecimento em múltiplas áreas do currículo escolar.
O Teorema de Desargues é abordado como um conceito que rompe os limites da
matemática, alcançando também os campos da arte e da tecnologia. A Geometria
Projetiva é contextualizada historicamente, apresentando seus primeiros passos e
progresso ao longo do tempo. Revela Girard Desargues como um como precursor
de ideias nesse contexto, contribuindo tanto para o avanço da matemática quanto
para a expressão artística. A dissertação enfatiza a aplicação prática do Teorema de
Desargues no contexto educacional, propondo atividades significativas e atrativas
para os alunos no contexto escolar. Apresenta o produto educacional desenvolvido
pelos autores como uma fonte valiosa de sugestões para educadores que pretendem
se dedicar à interdisciplinaridade. A dissertação promove uma abordagem
educacional que estimula o diálogo entre disciplinas, destacando a conexão entre
matemática, geometria projetiva, arte e tecnologia, para isso utiliza o Teorema de
Desargues desempenhando um papel central nesse processo. / [en] The present dissertation examines the interdisciplinary relationship between
mathematics and the arts, with special emphasis on Desargues Theorem as a bridge
between these fields. It highlights the current importance of interdisciplinarity in
education, supported by the National Common Curricular Base (BNCC), which
emphasizes the integration of technology and knowledge across multiple areas of
the school curriculum. Desargues Theorem is approached as a concept that
transcends the boundaries of mathematics, also reaching into the realms of art and
technology. Projective Geometry is historically contextualized, tracing its origins
and development over time. Girard Desargues is revealed as a precursor of ideas in
this context, contributing to both the advancement of mathematics and artistic
expression. The dissertation emphasizes the practical application of Desargues
Theorem in the educational context, proposing meaningful and engaging activities
for students in the school setting. It presents the educational product developed by
the authors as a valuable source of suggestions for educators looking to dedicate
themselves to interdisciplinarity. The dissertation promotes an educational
approach that encourages dialogue between disciplines, highlighting the connection
between mathematics, projective geometry, art, and technology, utilizing
Desargues Theorem as a central element in this process.
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Vybrané problémy z planimetrie / Selected problems from planimetryMÍKOVÁ, Lucie January 2017 (has links)
This diploma thesis is focused on Selected problems in planimetry. The aim of this diploma thesis is description not only planimetric problems and their verification in a dynamic mathematical program GeoGebra, but also presentation of the author after whom it is called. The thesis is illustrated with pictures, which can help the reader to understand the problem and verification. This thesis can be used as a supplement the curriculum in secondary schools, where using dynamic program GeoGebra and subsequent verification may reach a better understanding of the topic.
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