Orden y distancia de fracciones y decimales en la recta numérica: el caso de Abigaíl

Este es un estudio de un caso acerca de las representaciones de números racionales en la recta numérica hechas a mano y utilizando un programa interactivo de una alumna de nivel medio superior. En un principio las representaciones de la alumna mostraron una clara comprensión de cómo representar el orden entre diferentes números en la recta numérica, pero no cómo representar correctamente las distancias entre ellos. La forma de representación utilizada (decimales o fracciones) también fue importante para que ella pudiera o no mostrar su comprensión de las distancias entre diversos números racionales. El estudio muestra el pensamiento de la alumna, sus dificultades y avances, a través de las interacciones con el entrevistador y el programa de computadora.

Máquinas y maquinaciones

El próximo mes de junio cerraré, al menos por el momento, esta sección y me gustaría despedirme con el relato de una historia muy especial. A lo largo de casi treinta años de profesión he ido guardado en un arcón, como los piratas de antaño, un montón de joyas encontradas en mis travesías matemáticas, logrando acumular un botín bastante suculento. Una de mis piezas favoritas es esta historia, una historia que ojalá me hubiesen contado cuando me enseñaron por primera vez los rudimentos del álgebra lineal. De hecho, si hoy tuviese que impartir clase de álgebra lineal en bachillerato o en un primer curso de cualquier carrera científica o técnica y se me permitiese hacerlo a mi manera, articularía mis clases en torno a esta historia. Sus distintos episodios, todos ellos verídicos, me han ido llegando a través de los años de la mano del matemático Mario Fernández Barberá, del escultor José Luis Alexanco y del poeta Ramón Mayrata.

El cálculo diferencial y el problema isoperimétrico

Hemos dejado para el final aquella resolución por la que comienza la mayoría del profesorado de matemáticas: la basada en el uso del cálculo diferencial. Siempre que hemos propuesto el problema que planteábamos en la primera entrega en algún curso o seminario, la forma de abordarlo ha sido echando mano de las derivadas para la búsqueda de extremos de determinada función área. Como se habla de enmarcar un cuadro de 3 m de perímetro, siempre han comenzado pensando en formas rectangulares, por lo que el problema que se planteaban solía ser el siguiente: entre todos los rectángulos de igual perímetro P, el cuadrado de lado P/4 es el que encierra la mayor área.

[Book Review] The age of orphans, by Laleh Khadivi

The Age of Orphans, By Laleh Khadivi. Book review by Alev Adil. Laleh Khadivi's debut novel, remarkable for its beautiful and brutal poetry, tells the story of a lost Kurdish child and the history of "this invisible thing called Iran" [From the Author]

When deterrence works - and when it doesn't: a comparison of Sweden's prostitution law and UK's Dangerous Dogs Act

Many pieces of legislation have been implemented with the anticipation - or justification - that they will have a deterrent effect. Deterrence was clearly argued in the debate preceding the Swedish prostitution law prohibiting the purchase of sexual services, but less so regarding the Dangerous Dogs Act, which was a very rapid response to a particular moral panic. As it turned out, the Swedish law has had a deterrent effect on street prostitution in that 'respectable' buyers were deterred. It will be argued that it is this very 'respectability' that makes deterrence work in this case. Regarding the Dangerous Dogs Act, the owners of Pit Bulls and other banned breeds are not considered 'respectable' and the banning might have had the reversed effect - increasing the attraction of these dogs, rather than deterring the ownership. Apart from deterrence and its consequences, the rendering invisible of key actors - buyers and owners respectively - and the use of symbolic legislation to promote moral messages will also be considered. [From the Author]

Mighty small: Observing and modeling individual microbes becomes big science

Progress in microbiology has always been driven by technological advances, ever since Antonie van Leeuwenhoek discovered bacteria by making an improved compound microscope. However, until very recently we have not been able to identify microbes and record their mostly invisible activities, such as nutrient consumption or toxin production on the level of the single cell, not even in the laboratory. This is now changing with the rapid rise of exciting new technologies for single-cell microbiology (1, 2), which enable microbiologists to do what plant and animal ecologists have been doing for a long time: observe who does what, when, where, and next to whom. Single cells taken from the environment can be identified and even their genomes sequenced. Ex situ, their size, elemental, and biochemical composition, as well as other characteristics can be measured with high-throughput and cells sorted accordingly. Even better, individual microbes can be observed in situ with a range of novel microscopic and spectroscopic methods, enabling localization, identification, or functional characterization of cells in a natural sample, combined with detecting uptake of labeled compounds. Alternatively, they can be placed into fabricated microfluidic environments, where they can be positioned, exposed to stimuli, monitored, and their interactions controlled “in microfluido.” By introducing genetically engineered reporter cells into a fabricated landscape or a microcosm taken from nature, their reproductive success or activity can be followed, or their sensing of their local environment recorded.

Typical reggaeton in Morocco: forms of female political affirmation throught dance

Through an ethnographic account, this text analyses how social dance may become a discourse involving the cultural affirmation of a subordinate group. It describes how a group of girls faced with a complex of outlooks that construed them as Moroccan, Muslim or unattractive —or as objects of education and intervention— responded by affirming their own culture with an unanticipated corporal discourse. The way in which looking construes bodies is explored through metaphors: a hand that touches, a chisel that sculpts, a whip that lashes and a cobweb that controls and traps bodies. Owing to this political dimension of dance, workshops can also be an oppressive and silencing tool; to prevent this, the article concludes with a series of recommendations to implement dance in social intervention processes.

¿Barreras invisibles? Actitudes de los estudiantes universitarios ante sus compañeros con discapacidad

El presente trabajo analiza los conocimientos, opiniones y actitudes de los estudiantes universitarios sobre sus compañeros con discapacidad. La integración educativa y social de estos estudiantes es objeto de preocupación y estudio en todo el sistema educativo español, incluida la enseñanza superior en la que 21.942 universitarios con discapacidad se encontraban matriculados en el curso 2013-2014. El estudio se realiza en el marco de dos Proyectos de Innovación Educativa[1] de la Universidad de Málaga en los que se examinaron las actitudes del personal docente e investigador, el alumnado en general y el alumnado con discapacidad de esta institución. En este artículo se recogen las perspectivas de los estudiantes sin discapacidad, necesarias para medir el grado de aceptación dentro de las aulas universitarias. Se empleó una encuesta suministrada mediante correo electrónico a la totalidad de la población de estudiantes de la Universidad de Málaga (N= 32.464). El tamaño de la muestra fue de 620 estudiantes, por lo que trabajamos con un margen de error del 3,9% para la estimación de los porcentajes con un nivel de confianza del 95%. Los datos, analizados mediante análisis estadístico, visibilizan la importancia de un elevado grado de información y conocimiento así como de una experiencia directa con la discapacidad. Ambas circunstancias se traducen en actitudes más positivas y favorables. Tan solo el 20% de los alumnos manifestó haber recibido en alguna ocasión cualquier tipo de información sobre este asunto por parte de la Universidad; no obstante, la mayoría valora positivamente la presencia de alumnos con discapacidad en la Universidad, la posibilidad de contar ellos como compañeros de clase y el enriquecimiento que supone esta convivencia dentro del aula. Se discuten posibles acciones para mejorar las actitudes hacia los estudiantes con discapacidad. Además, se plantea incluir una perspectiva que promueva el empoderamiento de estos estudiantes. [1] PIE 10-135 y PIE 13-103.

Superficialidad máxima. Superficie como posibilidad de sentido: imagen y síntoma

En estas páginas se pretende proponer un modo de entender lo visto siempre como adaptación inmanente, deseo y simbolización, esto es, entenderlo como imagen. Se hará conforme a un concepto de ‘superficie’ que prolonga la lectura que hiciera Didi-Huberman del concepto de imagen-síntoma de Aby Warburg, y se apoya en textos de teoría psicoanalítica de la mano de Jacques Lacan, en un intento no de arruinar la capacidad de hermenéutica del observador, sino de entender la búsqueda del sentido y de la esencia –del arte por ejemplo– como la investigación sobre un conflicto histórico de pérdidas, crisis y memoria. ‘Superficie’ en tanto que masa átona y sin sentido donde el ojo siempre visiona formas: ver superficie es que el ojo siempre adapte lo visto, deseando abrirlo visionariamente en su significado para recabar su verdad oculta, pero paradójicamente cerrándolo. Porque mirar imágenes supone siempre perder visión respecto de una supuesta totalidad en la que se darían todos los significados en todas sus ambigüedades y en todas sus posibilidades históricas, pérdida sólo decible en su retorno en tanto que resignificación traumática. Aquí postulamos que la ilusión será creer no que las apariencias son ilusorias, sino que más allá de ellas hay “más realidad”. Este planteamiento no sólo ratifica la posición del sujeto, inserto en una superficie/cuadro dada-a-ver, sino que descubre la brecha constitutiva que le rige y que es un “más en él” que él mismo.

ULTRACAM photometry of the eclipsing cataclysmic variables GY Cnc, IR Com and HT Cas

We present high-speed, three-colour photometry of the eclipsing cataclysmic variables GY Cnc, IR Com and HT Cas. We find that the sharp eclipses in GY Cnc and IR Com are due to eclipses of the white dwarf. There is some evidence for a bright-spot on the edge of the accretion disc in GY Cnc, but not in IR Com. Eclipse mapping of HT Cas is presented which shows changes in the structure of the quiescent accretion disc. Observations in 2002 show the accretion disc to be invisible except for the presence of a bright-spot at the disc edge. 2003 observations, however, clearly show a bright inner disc and the bright-spot to be much fainter than in 2002. Although no outburst was associated with either set of quiescent observations, the system was similar to 0.6 mJy brighter in 2003, mainly due to the enhanced emission from the inner disc. We propose that these changes are due to variations in the mass-transfer rate from the secondary star and through the disc. The disc colours indicate that it is optically thin in both its inner and outer regions. We estimate the white dwarf temperature of HT Cas to be 15 000 +/- 1000 K in 2002 and 14 000 +/- 1000 K in 2003.

Maestros, museos y artes visuales. Construyendo un imaginario educativo

In this article we think about the need to generate spaces of meeting between museum educators and teachers. We analyze the results of different works elaborated by the research group Art and Education, basically in the report of the project maestrosymuseos.com. Red Iberoamericana de educación en museos (AECID A/8780/07), as well as the offers that we have developed. We appear how we see the teachers in his visits, and how they would like to be seen when they submerge in the territory of the museum. We introduce the supposition that the majority of teachers turn into invisible figures on having come to the museum. The methodology is based on the case studies, affecting in the observation, the interviews, and very special in the specific attention towards the protagonists: the teachers. The work introduces photos that they try to investigate in the same aspects that the article text treats, but enriching it with images that can be read in his format and with particular intentions.

The portrait of the first poster artists of Spanish cinema: From the genre scene to the realistic portrait

The article, which is part of a more detailed piece of work, aims to highlight the use of the portrait on the film posters of the first Spanish poster artists before the Star-System was introduced in Spain. For this it is posed the evolution that occurs in the representation of the characters in the film poster from the second decade to the beginning of the thirties in the twentieth century, a historical period of profound influences of the artistic and advertising vanguards in our poster artists´ work. However, in the late twenties moving from the simple inclusion of the scene based on the picture of a film, to the chromatic and realistic representation of the star´s face. These were the years when the influence of the major North American studios began to show in Spain. Nevertheless, it highlights their technical and compositional freedom and their influence on subsequent poster artists, as many of them will integrate the portraits and settings on their posters, following the guidelines of the major studios or the independent ones. But without forgetting their own personal way of painting the film stars’ faces on their posters.

Patrimonio e Identidad en la Investigación Educativa Basada en las Artes desde un Enfoque Multimodal

Este artículo describe dos experiencias de investigación de nuestro grupo interconectadas, la primera desarrollada durante el año 2007 a través del proyecto internacional CALVINO del Programa Cultura 2000 de la Unión Europea, y la segunda implementada durante el año 2014 en el marco del Proyecto Investigación e Innovación en Secundaria en Andalucía (PIIISA). Ambos proyectos tienen en común el eje temático de la identidad a partir de una idea de patrimonio y el hecho de haber puesto en práctica metodologías de investigación basadas en las artes visuales con un enfoque multimodal. Desde estos dos puntos de anclaje relativos a la temática (qué) y a la metodología (cómo) analizamos lo acontecido para obtener conclusiones relevantes que, por una parte, pongan en valor estas prácticas significativas y, por otra, aporten nuestra experiencia para futuras propuestas de investigación en el ámbito temático y/o metodológico.

Autopoiesis and the Home Confined Consumer: The Role of Personal Communities

Purpose – The purpose of this paper is to explore the consumption of a personal community and its role in the everyday life of the home-confined consumer. Design/methodology/approach – Using a Radical Constructivist approach, three cases of home confinement were explored in depth over a period of two years. Ongoing “conversations” captured the consumption experiences with personal communities. Findings – In relation to the home-confined context, the ability to attain individuality, empowerment and creativity are all heightened as a result of personal community construction. An underlying concern for home-confined consumers is their removal from independent living to institutionalized living, and, as a result the need to construct, manage and maintain a personal community is of major concern. Research limitations/implications – Although the study addresses a home-confined context, it is nevertheless reflective of concerns that are significant to all consumers, namely the attainment of individuality and independence irrespective of marginalization or not. Practical implications – The importance of a personal community in terms of both self-empowerment and self-identity with respect to marginalized groups and vulnerable individuals should not be underestimated. The supporting role of a personal community provides, in times of uncertainty, a framework to maintain self-identity and independence. Originality/value – This paper provides a better understanding of the role of a personal community in the consumption experiences of those consumers marginalized and vulnerable as a consequence of context. Home-confined consumers are “invisible” in the marketplace and the personal community is a means of redressing this imbalance by empowering such individuals.

History, an Exit Strategy: The Retrofuture Fabulations of kara lynch

A cartographer constructs a map of an individual creative history, that of the American artist kara lynch, as it emerges in connection to a collective history of African American cultural expression. Positioning history as complex, dynamic systems of interwoven memory networks, the map follows lynch’s traversals through various “zones of cultural haunting”: places where collective memories made invisible through systematic processes of cultural erasure may be recovered and revived. Through these traversals, which are inspired by lynch’s “forever project” Invisible, the map covers such terrains as haunted narratives, mechanisms of abstraction and coding within African American media production, water as an informational technology, the distribution of memory in blood, the dialectics of materiality and immateriality that frame considerations of black subjectivity, and the possibility that place of music might not be the site of sound but instead the social production of memory.