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Este escrito es el relato de una experiencia matemática en la que se pretendía hacer un programa que clasificara una cónica dada. Se comenzó con un programa escrito en Pascal que devolvía el centro y el radio de una circunferencia entrada por sus coeficientes. El trabajo fue realizado por alumnos de 39 de BUP con ordenadores y calculadoras gráficas. bajo unos planteamientos heurísticos. Parte del trabajo se hizo en clase y la mayor parte fuera de la misma con un grupo de alumnos interesados en el tema.

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La calculadora electrónica es un excelente recurso didáctico que hace mucho más que las operaciones básicas. Usarla como “calculadora” nada más sería desperdiciar una oportunidad de hacer la matemática más atractiva para muchos estudiantes. Con ella es posible por ejemplo, experimentar con patrones numéricos, explorar relaciones funcionales, desarrollar conceptos y resolver problemas con datos reales.

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Una investigación que inicie a mediados del ano 2004, para tratar de encontrar como pudieron hacer los matemáticos de fines del siglo XVII, para encontrar la suma de algunas series de potencias infinitas.

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Se presenta una construcción rigurosa de la función exponencial con base en aproximaciones decimales de números reales y utilizando herramientas relativamente simples de la teoría de sucesiones numéricas. Visto desde la óptica de un docente de secundaria, esta construcción es la formalización de la construcción intuitiva que siempre hemos enseñado a los muchachos. En la primera parte se repasa la completitud de R y sus consecuencias, así como algunas nociones básicas de sucesiones. La segunda parte prsenta paso a paso, la construcción de la función exponencial con exponente racional y en la tercera parte se extiende esta definición a exponentes reales. La presentación es completada con ejercicios que le ayuden al lector a profundizar un poco más en el tema, de acuerdo con los conocimientos previos. El trabajo esta dirigido a profesores y futuros profesores de secundaria. Se ha evitado en lo posible el uso de herramientas matemáticas sofisticadas, con el fin de hacer la lectura apropiada a la mayor audiencia posible.

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No es fácil experimentar, visualizar y hacer conjeturas cuando estudiamos la geometría del espacio. Con los paquetes de geometría dinámica se abren nuevas posibilidades de exploración. Aunque la mayoría de los paquetes fueron diseñados para trabajar en dos dimensiones, es posible realizar ciertas construcciones que nos permiten el estudio en el espacio. Las construcciones están basadas en el dibujo en perspectiva y en la proyección cilíndrica.

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Se ha realizado un estudio anatómico (frutos y hojas) en 24 poblaciones de Bupleurum salicifolium R. Brown in Buch recogidas en las lslas Canarias Occidentales y Madeira, lo que nos ha permitido evidenciar una estructura uniforme de los frutos. Por el contrario, en las hojas se han observado tres tipos de estructuras, así como la existencia de un canal oleoso, cuya presencia o ausencia coincide con la distribución geográfica de la especie en las diferentes islas. Estas observaciones nos han inducido a hacer una nueva propuesta sistemática: B. salicifolium subsp. salicifolium con dos variedades, var. salicifolium (Madeira y Gomera) y var. robustum comb. nova (Gomera), y subsp. aciphyllum (La Palma, Hierro, Tenerife y Gran Canaria).La importancia de cada uno de los tipos de hojas en las diferentes islas nos ha pemitido asimismo proponer un esquema de dispersión de la especie. La existencia de estructuras consideradas como más primitivas, así como la desaparición de las poblaciones diploides, permiten suponer que B. salicifolium es una especie antigua que conserva su número base de origen x = 8 (En francés).

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Theatre is a cultural and artistic form that involves a process of communication between creators and is received in a space and time located in the public sphere, which has meant that, over the centuries, it has acted as a space for expression, exchange and debate regarding all manner of ideas, causes and struggles. Implicit within this process are processes of expression, creation and reception, by way of which people demonstrate, analyse and question ways of seeing and understanding life, and ways of being and existing in the world. This gives rise to educational, cultural, social and political potential, which has been endorsed in numerous studies and investigations. In this work, in which theoretical orientation is established through a review of the relevant literature, we consider different intersections that occur between theatre and social work in order to also show that dramatic and theatrical expression offers substantive methodologies for achieving some objectives of social work, particularly in areas such as critical literacy, reflexivity and recognition, awareness raising, social participation, personal and/or community development, ownership of cultural capital and access to personal and social wellbeing.

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After considering museums as cultural institutions responsible for preserving cultural memory and its evolution over time, this article describes the cultural practices within our society that are aimed at disseminating art and at reproducing and transmitting culture, history and identity. Further, it considers the key role that older people are steadily assuming in Spain’s ageing society. New social-empowerment activities based on volunteering by the elderly are linked to generativity because the individual and social groups acquire new skills through those activities, thereby strengthening a society for all ages. Never in the history of social work have so many older people been prepared to participate actively at the community level, and never has a social movement with these features gone so unnoticed by so many social agents.

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2015 se recordará como el gran año del cambio en los medios de comunicación, especialmente para la prensa. A lo largo del mismo se ha llevado a cabo una enconada lucha entre los editores y Google News, a la que se han sumado Yahoo News, Facebook, LinkedIn, Twitter, etc., para determinar quién debe pagar por los contenidos, quién los creará, quién los distribuirá y quién y cómo los leerá. Nuevos pactos para nuevos lectores. Nuevos acuerdos para reflotar económicamente la prensa. Y todo ello bajo el paraguas de la Ley de Propiedad Intelectual en España y otras similares que se irán publicando o adaptando en Europa. Se ofrece un estudio y análisis de la situación previa al establecimiento de dicha ley y las consecuencias de su aplicación.

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The “crisis of the social issue” in the EU has led to a certain consensus in the need to renew the organizational and institutional model of public administration. The core of the reform implies important administrative changes in most of the European welfare states. Those changes are inspired on theories such as the new public management, management by objectives or partnership. Such changes involve both semantic (“sharing responsibilities”, “effective costs”, or the substitution of “citizen under an administration” by “consumer”) and political (predominance of scattered forms of power and the individualization of responsibilities) transformations which operate in the framework of individuals and State relations. The paradigms of activation and flexicurity have been central in this public administration modernization project. This commitment with new forms of governance of social issues has important consequences for the political and moral foundations of social cohesion, and the Spanish case is not an exception. This paper aims at looking at those representations of “modernization” (as they appear in debates about the employment services restructuring policies) in detail as well as providing references to the trajectory of such reforms of public services since the early eighties to the beginning of the crisis.

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Chronic pain, without any organic or physical cause (DC), which in psycho-medical terminology is known as fi bromyalgia, (FM), is diagnosed each year to a considerable number of women in capitalistic societies. Our main interest in the following paper is to go in depth in the elaboration of this symptom, its treatment and the psychosocial effects, both in the social order as well as in the lives of the people who suffer from it. Our main goal in the following paper is to look deeper in the elaboration (conceptualization) of this symptom, its treatment and psychological affects, both in the social order as well as in the lives of the people who suffer from it, we are using linked speeches in Spanish magazines publications. The result has been the emergence of three hegemonic discourse positions: One position “scientist”, one “therapeutic of the conformity” position and one “economic and legalistic” position. Each of these has a specifi c feature, but on the whole, is enhanced, producing effects such as the absence of social context to explain the disease; disregard of gender differences in the management and treatment; the instrumentalization of pain to legitimize their practices and the subjection of women to the “psycho-biomedical” paradigm. In that way, a new signifi cance and politicization of the concept of pain is proposed.

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This article examines the socio-economic evolution of the social economy sector in the Basque Country during the 2008-2014 period of economic crisis. Data have been obtained within a framework of collaboration between university, Basque Government and private sector of the social economy. The results suggest that such entities have evolved better, both in terms of number of enterprises and employment, than the general economy of the Basque Country, while the context of public policies aimed at social economy has worsened over the years. However, in economic terms (measured through the Gross Value Added generated), they have not been able to cope with the crisis in equal conditions to the general economy. The main contribution of this research lies in that, unlike similar studies, it discusses the evolution of the whole sector of the social economy, taking as reference a broad period of the current economic crisis.

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This research arises due to the current restructuring process in which is immersed the Spanish banking sector. The above mentioned process is carried out to try to reduce the doubts on the viability of the bank companies to average and long term and to be able to return again the confidence in the sector. Though the economic and financial crisis has concerned the whole banking sector, the subsector of the Spanish savings banks is the one that has experienced a major number of integrations (articulated by means of mergers, absorptions and across Institutional Protection Schemes -IPSs-), and the one that has met submitted to the bancarization process. Considering what has been said, the present paper analyses Spanish saving banks to try to discern whether thanks to that process the objectives pursued by the bank rearrangement have been fulfilled. To do this, the evolution of some important financial variables will be studied over a long period of time (1999-2012). The results suggest that not all the savings banks have seen improved their ratios of efficiency, solvency, financial gap and social work, which indicates that there is still much to be done in order to rectify the problems affecting the studied sector.

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Cooperatives have a long historical experience in the Spanish economy and have demonstrated their ability to compete against traditional firms in the market. To maintain this capability, while taking advantage of the competitive advantages associated with their idiosyncrasies as social economy enterprises, they should take into consideration that the economy is increasingly globalized and increasingly knowledge-based, especially with regards to technological content. As a consequence, the innovative capacity appears to be a key aspect in order to be able to challenge competitors. This article characterizes the innovative behavior of cooperatives in the region of Castile and Leon and analyses the internal and external factors affecting their innovative performance, based on data from a survey of 581 cooperatives. The results of the empirical analysis, which is performed by multivariate binary logistic regression on various types of innovation, lead us to identify the size of the organizations, the existence of planning, the R & D activities and the human capital as the main determining factors.

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The purpose of this article is to analyse the assessment procedures and instruments used by teachers of Geography and History of Compulsory Secondary School (ESO) in the Region of Murcia (Spain). The data have been extracted implementing a survey technique proceeded by a descriptive analysis. The results show that teachers generally have a traditional conception of assessment, reflected in the fact that they think that assessment should not change when teaching strategies are changed or when they innovate. On the other hand, although they consider that is necessary to employ a variety of instruments to assess well and to prevent school failure, they still use exams as the most objective and essential instrument in the assessment, while they don’t apply continuous assessment, only tests in a continuous way. The implementation of similar research in other areas or in other subjects shows the existence of contrasts in teacher assessment practices.