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Bacelar Valente Mario - One of the best experts on this subject based on the ideXlab platform.
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Sin título
Ediciones Universidad de Salamanca (España), 2019Co-Authors: Bacelar Valente MarioAbstract:In this paper we return to Marshall Clagett’s view about the existence of an ancient Greek Geometry of motion. It can be read in two ways. As a basic presentation of ancient Greek Geometry of motion, followed by some aspects of its further development in landmark works by Galileo and Newton. Conversely, it can be read as a basic presentation of aspects of Galileo’s and Newton’s mathematics that can be considered as developments of a Geometry of motion that was first conceived by ancient Greek mathematicians.En este artículo volvemos a la idea de Marshall Clagett sobre la existencia de una geometría del movimiento en la Grecia antigua. Se puede leer de dos maneras. Como una presentación básica de la geometría del movimiento en la Grecia antigua, seguida por algunos aspectos de su desarrollo posterior en obras históricas de Galileo y Newton. A la inversa, puede leerse como una presentación básica de aspectos de las matemáticas de Galileo y Newton que pueden considerarse como desarrollos de una geometría del movimiento que fue concebida por primera vez por matemáticos de la Grecia antigua./
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Geometry of motion: some elements of its historical development
'Ediciones Universidad de Salamanca', 2019Co-Authors: Bacelar Valente MarioAbstract:in this paper we return to Marshall Clagett’s view about the existence of an ancient Greek Geometry of motion. It can be read in two ways. As a basic presentation of ancient Greek Geometry of motion, followed by some aspects of its further development in landmark works by Galileo and Newton. Conversely, it can be read as a basic presentation of aspects of Galileo’s and Newton’s mathematics that can be considered as developments of a Geometry of motion that was first conceived by ancient Greek mathematicians
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Ancient Greek Geometry of motion and its further development by Galileo and Newton
2018Co-Authors: Bacelar Valente MarioAbstract:in this paper we return to Marshall Clagett’s view about the existence of an ancient Greek Geometry of motion. It can be read in two ways. As a basic presentation of ancient Greek Geometry of motion, followed by some aspects of its further development in landmark works by Galileo and Newton. Conversely, it can be read as a basic presentation of aspects of Galileo’s and Newton’s mathematics that can be considered as developments of a Geometry of motion that was first conceived by ancient Greek mathematicians
Sarmentero Medina Elena - One of the best experts on this subject based on the ideXlab platform.
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La papiroflexia, una herramienta didáctica para aprender matemáticas en la ESO
2021Co-Authors: Sarmentero Medina ElenaAbstract:En el presente trabajo de fin de máster se pretende estudiar cómo distintas construcciones geométricas que forman parte del currículo de la Educación Secundaria Obligatoria pueden realizarse utilizando papiroflexia. Desde conceptos muy utilizados, como puede ser el Teorema de Pitágoras, hasta los problemas de la geometría clásica griega, pasando por las propiedades básicas del triángulo, la papiroflexia ofrece una alternativa a la regla y al compás para abordar y visualizar problemas y resultados geométricos de manera lúdica. Se pretende explotar este recurso para la creación de varias actividades que puedan ser útiles para ayudar a los alumnos a comprender ciertos conceptos matemáticos más abstractos en las que se indican unas pautas para su realización, además de abordar algunos problemas que pueden surgir durante su desarrollo y cómo solventarlas.The objective of the present work is to study how different geometric constructions that are part of the educational curriculum of children between 12 and 16 years of age can be made using origami. From widely used concepts, such as the Pythagorean Theorem, to the problems of classical Greek Geometry, passing through the basic properties of the triangle, origami offers an alternative to the ruler and the compass to approach and visualize geometric problems and results of playful way. It is intended to exploit this resource for the creation of several activities that may be useful to help students understand certain more abstract mathematical concepts in which some guidelines for their resolution are indicated, in addition to treating some problems that may arise during their development and how to solve them.Departamento de Algebra, Geometría y TopologíaDepartamento de Matemática AplicadaMáster en Profesor de Educación Secundaria Obligatoria y Bachillerato, Formación Profesional y Enseñanzas de Idioma
Esteban Sanz Laura - One of the best experts on this subject based on the ideXlab platform.
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La papiroflexia, una herramienta didáctica para aprender matemáticas en Bachillerato
2021Co-Authors: Esteban Sanz LauraAbstract:Fabricar Matemáticas con las manos permite acercarse a conceptos y resultados abstractos. En este trabajo se pretende estudiar cómo distintas construcciones geométricas que forman parte del currículo de la materia de Matemáticas de Bachillerato pueden realizarse simplemente doblando una hoja de papel. Desde el Teorema de Pitágoras hasta los problemas de la geometría clásica griega, pasando por las propiedades básicas del triángulo, la papiroflexia ofrece una alternativa a la regla y el compás para abordar y visualizar problemas y resultados geométricos de manera lúdica. Todo ello se llevará a cabo integrando las diferentes competencias propias del máster, en particular relacionadas con el diseño curricular, la práctica docente y la metodología y evaluación, entre otras.Building Mathematics with your hands allows the student to approach abstracts concepts and results. This paper aims at examining how different geometric constructions, which are part of the Bachillerato’s curriculum of the subject of Mathematics, could be conducted simply by folding a paper sheet. From the Pythagorean Theorem to the classical Greek Geometry problems, going through the basic properties of the triangle, Origami offers an alternative to ruler and compass for tackling and visualizing problems and results from a ludic perspective. All of that will be accomplished bringing the different competences of the master degree together, in particular those associated with curriculum design, teaching practice and methods and evaluation, among others.Departamento de Matemática AplicadaMáster en Profesor de Educación Secundaria Obligatoria y Bachillerato, Formación Profesional y Enseñanzas de Idioma
Niccolo Guicciardini - One of the best experts on this subject based on the ideXlab platform.
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isaac newton on mathematical certainty and method
2009Co-Authors: Niccolo GuicciardiniAbstract:Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and Geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolo Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the "common" and "new" analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek Geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.
Jean Christianidis - One of the best experts on this subject based on the ideXlab platform.
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classics in the history of Greek mathematics
2004Co-Authors: Jean ChristianidisAbstract:The Beginnings of Greek Mathematics Studies on Greek Geometry Studies on proportion theory and incommensurability Studies on Greek Algebra Did the Greeeks have the notion of common fraction? Did they use it? Methodological Issues in the Historiography of Greek Mathematics
