Las representaciones gráficas en la resolución de problemas de tipo olimpiadas: una experiencia de club matemático

Este trabajo de investigación supone un esfuerzo por comprender mejor el papel que las representaciones gráficas pueden jugar en la resolución de problemas matemáticos y se ha centrado en el estudio sistemático de los aspectos siguientes: los elementos que determinan la elección, la interpretación y las modificaciones de las representaciones gráficas en los comportamientos de resolución de problemas; las consecuencias de un entrenamiento en resolución de problemas en la utilización de representaciones gráficas. Dicho estudio ha estado motivado por la constatación del deterioro sufrido por la educación matemática, y en particular por la resolución de “verdaderos problemas" en España en las últimas décadas, y también por el declive del aspecto visual de las matemáticas en beneficio de los aspectos simbólicos, verbales y analíticos.

The closed orbits and the photo-excitation scaled spectrum of the hydrogen atom in crossed fields

In a recent Letter to the Editor (J Rao, D Delande and K T Taylor 2001 J. Phys. B: At. Mol. Opt. Phys. 34 L391-9) we made a brief first report of our quantal and classical calculations for the hydrogen atom in crossed electric and magnetic fields at constant scaled energy and constant scaled electric field strength. A principal point of that communication was our statement that each and every peak in the Fourier transform of the scaled quantum photo-excitation spectrum for scaled energy value epsilon = -0.586 538 871028 43 and scaled electric value (f) over tilde = 0.068 537 846 207 618 71 could be identified with a scaled action value of a found and mapped-out closed orbit up to a scaled action of 20. In this follow-up paper, besides presenting full details of our quantum and classical methods, we set out the scaled action values of all 317 closed orbits involved, together with the geometries of many.

The circle in the relationship between space and body. Photo-essay based on Isidro Blasco and the BAPNE method

This article demonstrates a visual study on the educational space in which the teaching of body percussion is carried out in universities. The methodological framework is chosen by the Visual Arts Based Educational Research, using the work of an artist as a conceptual and methodological model. The research remains notable (1) due to the theoretical reference to the BAPNE method, (2) due to the visual reference to the work of Isidro Blasco – especially with the piece “Shanghai Planet 2009” - ;(3) due to the parallelisms established between the object of study in this investigation -the spatial analysis- and the focuses of interest revealed by the art critics in relation to the work of this artist. By means of a visual speech formed with 7 photo-collages the relationship between body and educational space is visualized in the basic disposition of circular learning. The visual constructions by way of photo-collage and their aesthetic charge brings us closer to the intimacy of the educational space, in the style in which it is distributed to the students in the music classroom, the materialization of interpersonal relationships, the occupied and empty volumes.