2000, año mundial de las matemáticas: una experiencia práctica

Con motivo de la declaración, por la UNESCO, del año 2000 como año mundial de las matemáticas, decidimos en nuestro centro, el IES n.° 3 de San Javier en Murcia, organizar una Semana de las Matemáticas, con la programación de diferentes actividades como actividades interdisciplinares, I Encuentros Matemáticos, Obra de teatro, exposiciones y conferencias.

Exposición de curvas y superficies: una experiencia extraacadémica universitaria

En este artículo se comenta una experiencia extraacadémica realizada por un grupo de alumnos universitarios de matemáticas, juntamente con su profesor, en el marco de la semana de las matemáticas organizada por la facultad de Matemáticas de Sevilla para conmemorar el Año Mundial de las Matemáticas (Año 2000). La citada experiencia consistió en la realización y montaje de una exposición de curvas y superficies, cuyos objetivos generales, desarrollo y conclusiones finales constituyen la base de este trabajo.

Geometrías: fundamentación y experiencia sensible

Los profesores de matemáticas asociamos la discusión acerca de la fundamentación y axiomatización de las matemáticas con complejos teoremas y representaciones (Gódel, Cohen, Axiomática de GodelBernays, por ejemplo), bastante apartados de la matemática educativa. Pero su conocimiento, aún a nivel general, es interesante por sí mismo y clave para la observación de las matemáticas como una disciplina en constante transformación, más real que la visión habitual de un cuerpo estático e indiscutible de conocimientos. Por ello, me pareció conveniente, mostrar a los alumnos, una parte de la historia de los fundamentos de la geometría y su peculiar relación con el ser humano que es quien la crea o, por lo menos, la descubre, debate y aplica.

¿Cómo cambiar las concepciones erróneas de los estudiantes? Una experiencia matemática

Uno de los objetivos más importantes de la enseñanza es conseguir cambiar las ideas previas erróneas de los estudiantes. "En este articulo, se diseñan dos metodologías didácticas (resolución de problemas y descubrimiento dirigido) que fueron experimentadas durante veinte clases por dos grupos de alumnos de enseñanza secundaria mientras otro grupo utilizaba una metodología expositiva tradicional. Controladas las principales variables intervinientes, los resultados obtenidos indican que un método basado exclusivamente en la resolución de problemas produce un nivel de cambio conceptual y de rendimiento algo inferior al producido por un método más orientado aunque ambos métodos superan al método expositivo tradicional.

Una experiencia con el teorema de Pitágoras según Iowo

Esta Unidad está englobada dentro de cuatro de geometría plana: el cuadrado y el rectángulo, triángulos, el teorema de Pitágoras y áreas de figuras planas, las cuales han sido llevadas al aula durante los tres últimos cursos en l° de FPl a razón de tres grupos en cada curso. Las cuatro están pensadas para ser impartidas en la ESO.

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.

Experiencia sobre la reforma de las enseñanzas medias en el CEI de Málaga

El C.E.I de Málaga se adhiere a la experimentación sobre la reforma de las enseñanza medias en el curso 84-85, cuando se inicia en la comunidad Andaluza y por tanto una año después que en territorio dependiente del M.E.C y otras comunidades autónomas, con competencias por lo que contábamos de partida con las programaciones propuestas por ellos, al menos como documento sobre el que empezar a discutir.

Distributed digital post-production

It is now possible to use powerful general purpose computer architectures to support post-production of both video and multimedia projects. By devising a suitable portable software architecture and using high-speed networking in an appropriate manner, a system has been constructed where editors are no longer tied to a specific location. New types of production, such as multi-threaded interactive video, are supported. Editors may also work remotely where very high speed network connection is not currently provided. An object-oriented database is used for the comprehensive cataloging of material and to support automatic audio/video object migration and replication. Copyright © 1997 by the Society of Motion Picture and Television Engineers, Inc.

A computational study of the characteristics of aircraft post-crash fires

Full-scale furnished cabin fires have been studied experimentally for the purpose of characterising the post-crash cabin fire environment by the US Federal Aviation Administration for many years. In this paper the Computational Fluid Dynamics fire field model SMARTFIRE is used to simulate one of these fires conducted in the C-133 test facility in order to provide further validation of the computational approach and the SMARTFIRE software. The experiment involves exposing the interior cabin materials to an external fuel fire, opening only one exit at the far end of the cabin (the same side as the rupture) for ventilation, and noting the subsequent spread of the external fire to the cabin interior and the onset of flashover at approximately 210 seconds. Through this analysis, the software is shown to be in good agreement with the experimental data, producing reasonable agreement with the fire dynamics prior to flashover and producing a reasonable prediction of the flashover time i.e. 225 seconds. The paper then proceeds to utilize the model to examine the impact on flashover time of the extent of cabin furnishings and cabin ventilation provided by available exits

Predicting the likely impact of aircraft post crash fire on aircraft evacuation using fire and evacuation simulation

The SMARTFIRE Computational Fluid Dynamics (CFD) fire field model has successfully reproduced the observed characteristics including measured temperatures, species concentrations and time to flashover for a post-crash fire experiment conducted by the FAA within their C-133 cabin test facility. In this test only one exit was open in order to provide ventilation for the developing cabin fire. In real post-crash fires, many exits are likely to be open as passangers attempt to evacuate. In this paper, the likely impacts on evacuation of a post-crash fire in which various exiting combinations are available are investigated. The fire scenario, investigated using the SMARTFIRE software, is based on the C-133 experiment but with a fully furnished cabin and with four different exit availability options. The fire data is imported into the airEXODUS evacuation simulation software and the resulting evacuations examined. The combined fire and evacuation analysis reveals that even though the aircraft configuration is predicted to comfortably satisfy the evacuation certification requirement, when fire is included, a number of casualties result, even from the certification compliant exit configuration.

Trust, leadership and economic necessity in post-compulsory education

Trust is a complex concept that has increasingly been debated in academic research (Kramer and Tyler, 1996). Research on 'trust and leadership' (Caldwell and Hayes, 2007) has suggested, unsurprisingly, that leadership behaviours influence 'follower' perceptions of leaders' trustworthiness. The development of 'ethical stewardship' amongst leaders may foster high trust situations (Caldwell, Hayes, Karri and Bernal, 2008), yet studies on the erosion of teacher professionalism in UK post-compulsory education have highlighted the distrust that arguably accompanies 'new managerialism', performativity and surveillance within a climate of economic rationalisation established by recent deterministic skills-focused government agendas for education (Avis, 2003; Codd, 1999, Deem, 2004, DFES, 2006). Given the shift from community to commercialism identified by Collinson and Collinson (2005) in a global economic environment characterised by uncertainty and rapid change, trust is, simultaneously, increasingly important and progressively both more fragile and limited in a post compulsory education sector dominated by skills-based targets and inspection demands. Building on such prior studies, this conference paper reports on the analysis of findings from a 2007-8 funded research study on 'trust and leadership' carried out in post-compulsory education. The research project collected and analysed case study interview and survey data from the lifelong learning sector, including selected tertiary, further and higher education (FE and HE) institutions. We interviewed 18 UK respondents from HE and FE, including principals, middle managers, first line managers, lecturers and researchers, supplementing and cross-checking this with a small number of survey responses (11) on 'trust and leadership' and a larger number (241) of survey responses on more generalised leadership issues in post-compulsory education. A range of facilitators and enablers of trust and their relationship to leadership were identified and investigated. The research analysed the ways in which interviewees defined the concept of 'trust' and the extent to which they identified that trust was a mediating factor affecting leadership and organisational performance. Prior literature indicates that trust involves a psychological state in which, despite dependency, risk and vulnerability, trustors have some degree of confident expectation that trustees will behave in benevolent rather than detrimental ways. The project confirmed the views of prior researchers (Mayer, Davis and Schoorman, 1995) that, since trust inevitably involves potential betrayal, estimations of leadership 'trustworthiness' are based on followers' cognitive and affective perceptions of the reliability, competence, benevolence and reputation of leaders. During the course of the interviews it also became clear that some interviewees were being managed in more or less transaction-focused, performative, audit-dominated cultures in which trust was not regarded as particularly important: while 'cautious trust' existed, collegiality flourished only marginally in small teams. Economic necessity and survival were key factors influencing leadership and employee behaviours, while an increasing distance was reported between senior managers and their staff. The paper reflects on the nature of the public sector leadership and management environment in post-compulsory education reported by interviewees and survey respondents. Leadership behaviours to build trust are recommended, including effective communication, honesty, integrity, authenticity, reliability and openness. It was generally felt that building trust was difficult in an educational environment largely determined by economic necessity and performativity. Yet, despite this, the researchers did identify a number of examples of high trust leadership situations that are worthy of emulation.