Paradoxos geométricos em sala de aula

We present in this work some logical-mathematical paradoxes, as Galileo's paradox, and also some geometric paradoxes, such as Curry's paradox, Hooper's paradox and the Banach-Tarski paradox. We employ the Curry and Hooper paradoxes to motivate the study of concepts of Geometry and Num...

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Autor principal: Sentone, Francielle Gonçalves
Formato: Dissertação
Idioma: Português
Publicado em: Universidade Tecnológica Federal do Paraná 2017
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Acesso em linha: http://repositorio.utfpr.edu.br/jspui/handle/1/2701
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Resumo: We present in this work some logical-mathematical paradoxes, as Galileo's paradox, and also some geometric paradoxes, such as Curry's paradox, Hooper's paradox and the Banach-Tarski paradox. We employ the Curry and Hooper paradoxes to motivate the study of concepts of Geometry and Number Theory, such as area, triangle similarity, Pythagorean Theorem, trigonometric ratios in the right triangle, angular coefficient of the line, and Fibonacci sequence, and we organize recreation activities for the classroom in Elementary and High School.