Pythagorean Theorem
Mostrando 1-9 de 9 artigos, teses e dissertações.
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1. Reduccionismo Didáctico y Creencias de Profesores acerca del Teorema de Pitágoras
Abstract In this paper, we report the results of an exploratory research in which the interest was to identify how beliefs that support teachers in service about the Pythagorean Theorem are indicators of a didactical reductionism on this mathematical result. Questionnaires were applied to five public high school mathematics teachers and a semi-structured int
Bolema. Publicado em: 2017-12
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2. Gestión didáctica en clases y su relación con las decisiones del profesor: el caso del teorema de pitágoras en séptimo grado
This paper reports the analysis of the didactical management of two mathematics teachers in Chile, from direct observation of their geometry classes about the Pythagorean Theorem, in grade 7 and students 12 to 13 years old. The aim of the study is to detect in classroom management, indicators of teachers´didactical decisions about the topic and see if their
Bolema. Publicado em: 2014-04
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3. Um estudo sobre argumentação e prova envolvendo o teorema de Pitágoras
Os Parâmetros Curriculares Nacionais (Brasil, 1998) reconhecem e orientam, que o currículo de Matemática deve necessariamente contemplar atividades e experiências que possibilitem aos aprendizes o desenvolvimento e a comunicação efetiva de argumentos matematicamente válidos. Mas há consenso entre os pesquisadores da Educação Matemática, em diverso
Publicado em: 2007
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4. Elementos rigidos, valorizações e estrutura de aneis de Witt / Rigid elements, valuations and structure of Witt rings
An ordered field is an algebraic structure like the field of real numbers. However, while the field of real numbers have only one ordering, an arbitrary ordered field F may have more than one ordering, and also a infinite and uncountble number of orderings is allowed. To each element x Î F one can associate an binary quadratic form [1, x], called Pfister 1-
Publicado em: 2007
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5. Rigid elements, valuations and structure of Witt rings / Elementos rigidos, valorizações e estrutura de aneis de Witt
An ordered field is an algebraic structure like the field of real numbers. However, while the field of real numbers have only one ordering, an arbitrary ordered field F may have more than one ordering, and also a infinite and uncountble number of orderings is allowed. To each element x Î F one can associate an binary quadratic form [1, x], called Pfister 1-
Publicado em: 2007
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6. Ciência, magia e filosofia no processo de ensino-aprendizagem da matemática: uma introdução histórica sobre o Teorema de Pitágoras
The present dissertation focuses some relations between the influence of Pythagoras in Old Greece and the historical approach of the Pythagorean Theorem worked by Mathematics teachers during the elementary and high schools, following the National Curricular Parameters (PCNs) exigencies and giving emphasis to the connected aspects to science, magic and philos
Publicado em: 2007
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7. O Teorema de Pitágoras
This paper focusses on the teaching-learning of the Pythagorass Theorem through an approach that aims to emphasize, initially, the necessary and sufficient character of the Theorem to get, subsequently, to the form of the Pythagorean equality. The historical and epistemological study led, at a second moment, to a more refined analysis of the mathematical obj
Publicado em: 2000
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8. The Pythagorean Theorem: I. The finite case
The Pythagorean Theorem and variants of it are studied. The variations evolve to a formulation in terms of noncommutative, conditional expectations on von Neumann algebras that displays the theorem as the basic result of noncommutative, metric, Euclidean Geometry. The emphasis in the present article is finite dimensionality, both “discrete” and “contin
The National Academy of Sciences.
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9. The Pythagorean Theorem: II. The infinite discrete case
The study of the Pythagorean Theorem and variants of it as the basic result of noncommutative, metric, Euclidean Geometry is continued. The emphasis in the present article is the case of infinite discrete dimensionality.
National Academy of Sciences.