In April 2011 the Journal Pensamiento Matemático (PM) was born, an electronic publication of the Educational Innovation Group of the Universidad Politécnica de Madrid “Pensamiento Matemático”.
Title: Editorial Número 0
Author: Equipo Editorial |
Teaching Experiences
Este artículo presenta el trabajo realizado por el GIE “Pensamiento Matemático” para preparar la participación de un grupo de alumnos universitarios en la competición matemática IMC.
Title: Las competiciones tipo olimpiada como motivación para el aprendizaje de las matemáticas: una experiencia internacional
Author: Javier Rodrigo Hitos
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Al igual que otras asignaturas, pero quizás de manera más pronunciada, las matemáticas están viendo reducidos en gran medida sus créditos en los nuevos planes de estudios. Por ello, ofertar acciones que posibiliten alcanzar competencias relacionadas con ésta y otras ciencias básicas resulta de gran utilidad. Con este propósito, desde el Grupo de Innovación Educativa de la Universidad Politécnica de Madrid “Pensamiento Matemático”, se ofrece a los alumnos un “Aula de Pensamiento Matemático”. En ella se presentan una serie de actividades on-line que permiten la capacitación de los alumnos en diversas competencias transversales, la mayoría relacionadas con el pensamiento matemático.
El grupo de investigación reconocido por la Universidad Politécnica de Madrid, “Matemáticas aplicadas a la ingeniería civil” (MAIC) tiene como una de sus líneas de investigación la innovación educativa, y ha trabajado en distintos proyectos como “Diseño y difusión de materias de formación interdisciplinares a distancia con contenido matemático o informático”, la continuación de dicho proyecto, o trabajar con materiales en la web dirigidos a la extinción de las titulaciones. En este artículo se presenta las páginas web de innovación educativa realizadas en el marco de dichos proyectos.
Title: El grupo de investigación MAIC, “Matemáticas aplicadas a ingeniería civil” y su web de enseñanzas de las matemáticas
Authors: Adela Salvador Alcaide y Alfonso Garmendia Salvador
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En este artículo se pretende llevar a cabo una presentación de las herramientas tecnológicas que podemos utilizar en nuestra labor docente cotidiana como elemento integrador de aquellos alumnos que poseen minusvalía visual, de modo que como profesionales podamos atender la necesidad educativa de estos, a la vez que garantizamos un apropiado aprendizaje de los contenidosmatemáticos establecidos por el currículo. Se presentará demanera explícita el abordaje de aquellos contenidos que involucran representaciones gráficas, tales como los relacionados con la estadística, geometría, funciones o trigonometría. Se exponen información sobre el uso del software Quick Tac 4.0 versión beta combinado con Duxbury, Math Trax, Vozme, y la impresión de documento en braille mediante las máquinas de impresión Juliet Pro 60, o Book Maker entre otras.
History of Mathematics
This article deals with the investigations of a young Charles Julien Brianchon when he was only 21 years old and still a student at the École Polytechnique de Paris. These results served to reveal one of the fundamental pillars of the increasingly important Projective Geometry, the Duality Principle and its relation to Pascal’s Theorem on conics proved 167 years earlier.
Title: Brianchón y su Teorema
Author: José Manuel Sánchez Muñoz
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This article describes the story of how Euler proved the existence of infinite biquadratic triangular numbers, from his correspondence with his friend Christian Goldbach to the publication of his results at the St. Petersburg Academy.
Title: Euler y la Conjetura de Fermat sobre los Números Triangulares
Author: José Manuel Sánchez Muñoz
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The development and level of application of statistics as a useful and rigorous tool in the field of research in all sciences has been spectacular in recent years. This progress has been closely linked to the progress in the area of computing, which has led us to a fully computerized society. A second factor associated with this progress of knowledge in the statistical field has been the change of attitude experienced by all professionals.
Title: ¡Qué Historia esto de la Estadística!
Authors: Raquel Caro Carretero y Fernando García Jiménez
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This article is partly a translation of the work carried out by the Frenchman Charles Hermite to determine the significance of the number e, considered as the basis of the Neperian logarithms. Some simplifications have been made in this demonstration to make it more accessible to the reader. An introduction to the number e is also presented through the person who invented its notation, Leonhard Euler.
Title: Hermite y la trascendencia de e
Author: José Manuel Sánchez Muñoz
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In the last century the advances in mathematics have been spectacular. New applications and new needs have demanded “new mathematics” and the need to respond to these demands has led to new discoveries such as fractal objects. On the other hand, the great development produced in the computer media has boosted its use in various branches of art and technology in general.
Title: Aproximación del diseño arquitectónico a la fractalidad
Authors: Juana María Sánchez González, Ascensión Moratalla de la Hoz y Agripina Sanz Pérez
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Mathematical Tales
This story tries to introduce the reader in an informal and fun way to the world of plane geometry and isometric movements or isometries. With medicine as a driving metaphor, geometric concepts such as straight lines, their intersections, or their twists and translations are presented.
Title: Plani-ficación familiar
Author: Mª Dolores López González
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Investigation
The fractal dimension of population size fluctuations can be used as an estimator of the extinction risk of a species. The problem in measuring this fractal dimension is usually the length of the time series, which is usually too short for the results to be conclusive. In this work we have analyzed this hypothesis with data obtained from an iterative model of competition in different disturbance regimes between two different germination strategies: germination of all seeds vs. dormancy of half of the seeds. This allows us to have long time series of a thousand years and different extinction risks.
Title: ¿Es el coeficiente de Hurst un buen indicador de extinción de especies?
Authors: Alfonso Garmendia Salvador, Luis Garmendia Salvador y Adela Salvador Alcaide
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In this work mathematical concepts are applied to the approach of a political competition problem. A method using tools related to computational geometry is developed and implemented for the resolution of this problem, being tested in an example based on Spanish politics.
Title: Política y Geometría
Authors: Mª Dolores López González, Isabel Lillo Villalobos y Sagrario Lantarón Sánchez
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When light rays illuminate a cup of coffee on a sunny afternoon, we can observe the curve that shines the brightest on the surface of the liquid. Perhaps this is an opportunity to consider the following thought experiment: how do light rays play as they reflect off different geometric “cups”? This paper intends to continue this discussion with some simple considerations that place us before the phenomenon of gravitational lenses, where the effects of gravity even affect the way light propagates, showing an idealized dynamical system that is at the same time simple and (mathematically) chaotic.
Title: Luz y gravedad (Reflexiones geométricas sobre cáusticas y lentes gravitacionales)
Authors: José Rojo, Juan Carlos Garro, Elena Ortiz y Gonzalo Cañadas
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Games and Mathematical Oddities
Title: La Caja de Botellas de Vino
Author: Equipo Editorial |
Enunciado | Solución |
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Critics and Reviews
Just out of the oven we find the book by Antonio Pérez Sanz “Más Por Menos. Understand Mathematics”. Antonio is a professor of mathematics and apart from teaching, his great passion is the dissemination of mathematics.A review of this work is presented in order to make it known to all those interested in mathematics and its applications in everyday life.
Title: La Aventura del Saber. Más por Menos. Entiende las Matemáticas – Antonio Pérez Sanz
Author: Equipo Editorial |
Interviews
Ana Casaravilla Gil is a professor at the School of Technical Architecture of the Polytechnic University of Madrid and Assistant of Educational Innovation. She is a person committed to teaching as can be seen by the numerous projects and works that she has been developing in this line over the years. We have talked with her about Educational Innovation at the University.
Title: Ana Casaravilla Gil – Adjunta de Innovación Educativa y Profesora de la UPM
Author: Equipo Editorial |