Matemáticas y deportes. Sugerencias para el aula

El deporte es un fenómeno social que atrae la atención del alumnado. Sus reglas, estrategias, movimientos, resultados y clasificaciones contienen muchos elementos matemáticos. En las diversas especialidades deportivas podemos encontrar variadas ocasiones para motivar a los estudiantes con situaciones que las matemáticas ayudan a comprender mejor. En este artículo se ofrecen 28 actividades y ejemplos en esa línea, desde 6.º de Primaria a 2.º de Bachillerato.

Lo periódico en la relacion de una función y sus derivadas

Lo periódico en la relación de una función y sus derivadas, en un contexto analítico queda en demostrar la veracidad de la proposición f periódica f´periódica usando las definiciones de derivada y de función periódica; sin embargo al trabajar en un contexto gráfico, podemos hacer evidente que el comportamiento de una función tiene dos componentes: el comportamiento en el eje X y otro en el eje Y; esta distinción es fundamental para distinguir entre algo periódico y algo que no lo es; al explorar dicha relación usando movimientos hemos encontrado movimientos que no son periódicos y cuya velocidad sí lo sería. En este trabajo reportamos algunas dificultades al enfrentarnos con esta relación en escenarios periódicos en los contextos analíticos gráficos y físicos.

Las curvas mecánicas en la geometría griega. La cuadratriz de Dinóstrato

En la historia de las matemáticas no todas las curvas han sido consideradas dignas de figurar en el reino de la geometría. La matemática griega habían serios recelos con las llamadas curvas metálicas, generadas por composición de movimientos.

Control estructural de agrietamientos poligonales en la Pedriza del Manzanares (Madrid)

Los agrietamientos poligonales representan una forma común de modelado granítico cuyo origen y evolución continúa en fase de estudio, no existiendo una sistematización de estas estructuras diversas. Algunos autores explican su origen por procesos geodinámicos internos, relacionándolo con movimientos de planos de fractura en estados tardíos de consolidación magmática. Otros autores atribuyen su formación y desarrollo a factores externos relacionados con el régimen climático. La gran variedad de agrietamientos poligonales requiere la utilización de un número mayor de variables para definir los distintos orígenes, y las posibles interrelaciones entre los factores externos e internos, así como para explicar la evolución de dichas estructuras y avanzar en la clasificación de los patrones concretos. Este trabajo pretende contribuir a sistematizar los mecanismos que intervienen en el desarrollo de agrietamientos poligonales. Para ello se estudian únicamente agrietamientos poligonales formados sobre planos de fractura verticales o subverticales. En particular se establecen relaciones entre la presencia de agrietamientos poligonales y la red de fracturación, la altura de aparición, la orientación e inclinación de la pared, la morfología de las placas y la profundidad de incisión de las grietas perimetrales. Por otra parte, establece relaciones entre procesos geodinámicos internos y procesos de meteorización externos.

La comunicación política en tiempos de crisis: una comparación entre Italia y España

La época actual de crisis económica ha conllevado una crisis de tipo político también, que tiene como consecuencia una perdida de confianza por parte de los ciudadanos hacia las instituciones y los partidos tradicionales, que supuestamente actuarían como garantes de sus intereses. En Italia y España, dos países que se encuentran en situaciones parecidas, esto ha llevado al surgimiento de dos movimientos que han sabido explotar muchas de las herramientas que la comunicación política ofrece hoy en día, llegando a una considerable popularidad. Podemos y Movimento 5Stelle representan dentro de la comunicación política una autentica revolución y marcan para ella una era completamente nueva.

The divulgation of hygiene-sanitation matters at the start of Spanish radio (1933-1957)

The work analyse from a journalistic point of view the history radio divulgation of health during the Second Republic and the start of the Franco era. For it, printed sources of the health broadcast conferences have been analysed. The most frequently used radio genre was a combination of informative monologue and monologue opinion. Questions relating to maternal-juvenile health were the most disseminated. In general, the radio language employed responded to the needs for clarity, as well as adapting the message to the target audience. With Francoism, the political slogans were incorporated and the gender discussions were given more importance.

The visual representation of the “indignados”. A visual analysis about the characterization of the participants of the 15-M movement.

The aim of this work is to show the type of media coverage done by the newspapers La Razón, El País and Público about the 15-M social movement during the time that the camping at Sol took place. Specifically, in terms of how the characterization of the “indignados” (outraged) got made. Based on our previous descriptive observations, we approached a visual analysis of the photographs published on the paper editions of those mainstream media from May 15-June 12 of the 2011. we started from a total sample of 379 items, developing:1) A content analysis of La Razón, El País, and Público; the most frequents words of each media, articles classifications from the reviews found on them (expositive, positive-evaluation, negative-evaluation).2) An analysis of the 408 images obtained from the total sample, which establishes a clear evolution of the “indignados” profile and how differently each media took the movement as such. That’s, when they stop naming them “indignados”, and recognize its nature as social movement by calling it: “Movimiento 15-M"...

Cultural policy models and cultural facilities models: from national to local models. Analysis of Barcelona’s case

The development of cultural policy analysis by social science has been produced a theorization about cultural policy models from sociology and political science. This analysis shows the influence of the national model of cultural policy on the forms of governance and management of cultural facilities. However, in this paper we will defend that currently the local model of cultural policy decisively influences the model of cultural institutions. This is explained by the growing importance of culture in local development strategies. In order to demonstrate this we will analyze the case of the Barcelona Model of local development and cultural policy, that is characterized for the level of local government leadership, multilevel governance, the use of culture in urban planning processes and a tendency to use public-private partnership in public management. This Model influences the genesis and development of the cultural facilities and it produces a singular and relatively successful model.

Cultural assets and sustainable development: the economic significance of Cultural Heritage

This article assesses the condition of the Cultural Heritage as a form of capital that gives rise to a significant flow of economic returns widely outweighing the effort it takes to preserve it. More specifically, the data related to Spain is provided from the perspective of aggregate demand drawing up an estimation of both the direct and indirect economic impacts arising from the Cultural Heritage valuation. The results highlight again the relevance of cultural tourism in the delivery of these economic returns and as a catalyst of activities leading to the sustainable socioeconomic devel-opment of multiple territories.

Conditional cash transfer programs and the representations of poverty in Bolivia and Peru

Bolivia and Peru adopted the same instruments of social policy —conditional cash transfer programs— to solve the same public problems under different political regimes. By means of the qualitative methodology of discourse analysis, this paper studies the representations of poverty and State made by key actors of those social programs. Underlying more differences than similarities, one demonstrates that the same social policy is linked to opposite social representations of poverty and the State role in every country. The main explanation for this is, far from being imposed by international organizations, those programs are adopted and adapted by each political regime.

Crossing borders: Space and identity in the essay by Angelina Muñiz

In this study, we establish a relation between the representation of space in Muñiz’s essays and the construction of the essayist’s complex identity which combines Spanish, Jewish and Mexican traits. We concentrate on Angelina Muñiz’s essays Las raíces y las ramas (1993) and El canto del peregrino (1999). Methodologically, we rely on Maingueneau’s concept of ‘scenography’, according to which the text stages its own situation of enunciation. Our starting point is the triple Spanish-Jewish-Mexican identity of the essayist. Our research question is about how the essayist deals with the space corresponding to respectively the Spanish and Mexican part of her identity. Secondly, we analyse the representation in the essays of a space corresponding to her Jewish roots. We find that Muñiz’s vision of space is not static; the essayist’s vision on space is dynamic, open, free and characterized by a constant free movement across national borders. Similar to the concept of space of the ‘diaspora’, her vision is constructed without the limitations imposed by national borderlines or geographical distances.

Collaborative artistic laboratories. Transfrontier spaces of cultural production

The appearance of the open code paradigm and the demands of social movements have permeated the ways in which today’s cultural institutions are organized. This article analyzes the birth of a new critical and cooperative spatiality and how it is transforming current modes of cultural research and production. It centers on the potential for establishing the new means of cooperation that are being tested in what are defined as collaborative artistic laboratories. These are hybrid spaces of research and creation based on networked and cooperative structures producing a new societal-technical body that forces us to reconsider the traditional organic conditions of the productive scenarios of knowledge and artistic practice.

The photography and the motion landscape in the urban expressway

A new kind of photographic representation, called movement-image is proposed and discussed to record the visual experience of the journey through urban highways. It consists of performing long exposure photographic shots while the track is traversed, thus registering a time-panorama which includes landscape signs and inner spaces of the ways involved. This proposal is linked to the limitations of representing these expressways, if they are understood as structures of instrumental origin, where the resulting experience comes from moving at high speed through the territory. In al almost all cases the aesthetic approach or urban integration with the city and landscape are excluded. In this sense, although such structures may be an opportunity to collect, build and colonize the urban landscape, the lack of adequate representation of the phenomenon causes a difficulty in its understanding and transformation. The options for representation using photography is assumed, knowing its own particular tradition in the use of long exposures, for the expression of the mobile, and the multiple visual attention, divided or weakened.

Fontes sísmicas ao longo da fronteira de placas tectónicas entre os Açores e a Argélia: um modelo sismotectónico

Portugal apresenta uma actividade sísmica que resulta em grande parte da sua proximidade à fronteira entre as placas tectónicas Euro-asiática (EA) e Nubia (NU), numa faixa que se estende desde Gibraltar até ao arquipélago dos Açores. A fractura litosférica contida nessa faixa é habitualmente designada por Fractura Açores-Gibraltar. A forte interacção entre os dois blocos, manifesta-se por um aumento da sismicidade nesta faixa, fortemente influenciada pela interacção entre os dois blocos tectónicos. No prolongamento para Ocidente deste acidente atinge-se a Crista Média Atlântica (CMA) num ponto localizado a noroeste do arquipélago dos Açores, e que constitui a fronteira entre a placa Americana (AM) e as placas EA e NU. Este ponto também é conhecido por Junção Tripla dos Açores. A interacção entre os três limites de placas confere à região dos Açores a actividade sísmica que se lhe conhece, uma das mais significativas no contexto nacional. Toda esta zona, devido ao potencial e efectivo risco sísmico testemunhado pelos eventos sísmicos recentes e pelos grandes terremotos historicamente documentados, é alvo de um elevado esforço que nos últimos anos resultou, de forma integrada, em avanços como: 1) melhoria da capacidade de observação do fenómeno sísmico –a existência dos meios mínimos de monitorização sísmica é hoje uma realidade que reconhecemos, salientando contudo, o muito que há a fazer em domínios como: a instalação de estações sísmicas submarinas (OBS) capazes de suprir as lacunas verificadas; a compatibilização de dados e o livre acesso aos mesmos; a criação de uma rede de acelerómetros capaz de registar os movimentos fortes; 2) aumento da capacidade de investigação – o recrutamento de novos investigadores através de projectos multi-disciplinares em domínios como a sismicidade, fonte sísmica e mecanismos focais, geomagnetismo, gravimetria, geodesia e análise estrutural....

La danza Yu´pa: Una interpretación antropológica

Un libro sobre danzas yu'pa es un buen motivo para reflexionar sobre la etnografía de las acciones simbólicas, que siempre parece titubeante. La observación registra formas, colores, gestos, movimientos, sonidos, escenas... Pero sólo se perciben sus significados con los ojos de la interpretación. Una operación que parece siempre arriesgada y en cierto modo intrusiva, como si rasgar el velo de Maya que los oculta fuera una profanación. Y sin embargo, la observación es indispensable. Un camino necesario para una comprensión nunca completa. Una actividad que en todo caso confirma la presencia del investigador en la escena, aunque en realidad se sitúa ante ella, fuera de ella. Sin duda, la etnografía de las acciones simbólicas son la mejor muestra de que la percepción etnográfica implica (gracias a la presencia del investigador) una captación de ambiente por inmersión y no simplemente un mero registro sonoro y visual.