30 resultados para números construtíveis

em Repositório Institucional UNESP - Universidade Estadual Paulista "Julio de Mesquita Filho"


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Construction techniques with ruler and the compasses, fundamental on Euclidean geometry, have been related to modern algebraic theories such as solving equations and extension of bodies from the works by Paolo Ruffini (1765-1822), Niels Henrik Abel (1802-1829) and Evariste Galois (1811-1832). This relation could provide an answer to some famous problems, from ancient Greece, such as doubling the cube, the trisection Angle, the Quadrature of the Circle and the construction of regular polygons, which remained unsolved for over two thousand years. Also important for our purposes are the notions of algebraic numbers, transcendental and the criteria for constructability, of those numbers. The objective of this study is to reconstruct relevant steps of geometric constructions with ruler (unmarked) and the compasses, from the elementary to the outcome buildings, in the nineteenth century, considering those mentioned problems.

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Pós-graduação em Bases Gerais da Cirurgia - FMB

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Pós-graduação em Educação - FFC

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Pós-graduação em Educação Matemática - IGCE

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Pós-graduação em Matemática - IBILCE

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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The objective of this study is an analysis of the actions of teacherand students when inserted in the teaching-learning in mathematics classes in a class of third year of elementary school. A didactic proposal construction, was developed taking into account the history of the number as a human, considering its evolution through its conceptual nexus, so that the teaching-learning process would enable the construction of theoretical thought. This paper presents a brief study of teacher education, specifically early carrer, basing themselves in difficulties and knowledge of teaching practice and curriculum framework that guided the didactic proposal. Thus, not only students but also teachers are undergoing training. From the study for the preparation of didactic proposal, the proposal development process in teaching and learning skills and analysis of actions, it was possible to follow the movement of formation of a teacher-researcher in early carrer