Modelación concreta en álgebra: balanza virtual, ecuaciones y sistemas matemáticos de signos

Se analizan resultados de un estudio con alumnos de secundaria, en el que se utiliza un modelo virtual de la balanza para la enseñanza de la resolución de ecuaciones de primer grado. A diferencia del modelo concreto o diagramático, el modelo virtual es dinámico e interactivo y en su versión ampliada (balanza con poleas) incluye la representación y resolución de ecuaciones con sustracción de términos. Los resultados indican que al final del estudio, los alumnos logran extender el método algebraico de resolución a una variedad amplia de modalidades de ecuaciones y que de manera espontánea infieren el método de transposición de términos. Con el fin de investigar los procesos de producción de sentido y de construcción de significado, se adopta una perspectiva semiótica que incorpora al análisis las producciones sígnicas de los estudiantes, como parte de la interacción entre los sistemas de signos algebraico, aritmético y el sistema de signos del modelo.

Torre de Hanói virtual e a constucâo do conceito de funcâo exponencial no ensino médio: um processo que parte da intuicâo a caminho da formalizacâo

Este trabalho tem como objetivo apresentar uma reflexão sobre o processo de aprendizagem do conceito de Função Exponencial no Ensino Médio, a partir da utilização do jogo Torre de Hanói virtual, através do uso de laptops educacionais. Os dados foram coletados por meio de um questionário inicial, para identificação das ideias prévias dos estudantes e por meio de registros em um diário de campo. Em seguida, os dados foram analisados conforme a metodologia Análise Textual Discursiva. A partir da análise, emergiram duas categorias: a primeira indica que a ideia inicial apresentada pelos alunos em relação à Função Exponencial está associada a uma caracterização da linguagem ligada à Função Quadrática. Já, a segunda categoria aponta uma transformação da linguagem natural do entendimento da função exponencial para a linguagem formal, isto é, a formalização escolarizada do conceito de Função Exponencial.

Transferencia del aprendizaje situado de la sintaxis algebraica: ecuaciones lineales y balanza virtual

El estudio tiene como propósito investigar los procesos de transferencia del aprendizaje situado de la sintaxis algebraica para la resolución de ecuaciones lineales, cuando se utiliza un modelo de enseñanza concreto, virtual y dinámico con estudiantes de nivel secundaria. Al final del estudio, los alumnos muestran un avance significativo en la resolución de ecuaciones y se puede decir que en su mayoría logran realizar la transferencia de las acciones efectuadas con el sistema de signos del modelo concreto (balanza virtual) a acciones que se ejecutan con el sistema de signos del álgebra. A su vez, se observó que los procesos de transferencia pasan por diferentes etapas, dependiendo del sistema de signos hacia el cual se logra la transferencia de acciones.

Aprendiendo a reconocer evidencias del proceso de generalización de los estudiantes a través de un debate virtual

Este estudio tiene como objetivo examinar cómo los futuros profesores de secundaria (EPS) reconocen evidencias de la comprensión del proceso de generalización en estudiantes de secundaria. Los EPS realizaron dos tareas: (1) describir las respuestas dadas por estudiantes de secundaria a dos problemas de generalización lineal y agrupar las que reflejaban características comunes de la comprensión del proceso de generalización; (2) participar en un debate virtual sobre las características de la comprensión del proceso de generalización. Los resultados indican que la participación en el debate virtual permitió a los EPS centrar su mirada en las ideas que subyacen en el proceso de generalización (generalización cercana y lejana e intento de expresar la regla general, pasando de una estrategia aditiva a una funcional) más que en el procedimiento realizado.

Laboratorio virtual de matemáticas (ALME2005)

Concebimos que la modelación de fenómenos es una práctica que está ligada a la construcción de conocimientos matemáticos y en este sentido se han realizado investigaciones entorno a su incorporación al contexto escolar. Sin embargo, el incorporar la experimentación en el aula de matemáticas conlleva dificultades, una de ellas es la carencia de material de laboratorio. El laboratorio virtual es un proyecto que intenta suplir la ausencia de un laboratorio físicamente, sin embargo, esta sustitución desencadena diferentes relaciones entre los actores. En este trabajo se pretende mostrar como es que un laboratorio simulado, podría contribuir a la incorporación a sistemas escolares concretos de diseños de aprendizaje basados en las prácticas sociales de modelación. Se da evidencia de cómo se desarrollan acciones e interacciones colaborativas alrededor del laboratorio virtual.

Virtual manufacturing and design in the real world - implementation and scalability on HPPC systems

Virtual manufacturing and design assessment increasingly involve the simulation of interacting phenomena, sic. multi-physics, an activity which is very computationally intensive. This chapter describes an attempt to address the parallel issues associated with a multi-physics simulation approach based upon a range of compatible procedures operating on one mesh using a single database - the distinct physics solvers can operate separately or coupled on sub-domains of the whole geometric space. Moreover, the finite volume unstructured mesh solvers use different discretization schemes (and, particularly, different ‘nodal’ locations and control volumes). A two-level approach to the parallelization of this simulation software is described: the code is restructured into parallel form on the basis of the mesh partitioning alone, that is, without regard to the physics. However, at run time, the mesh is partitioned to achieve a load balance, by considering the load per node/element across the whole domain. The latter of course is determined by the problem specific physics at a particular location.

The specification and design of an interactive virtual environment for use in teacher training

The original concept was to create a 'simulation' which would provide trainee teachers, specializing in Information and Communications Technology (ICT) with the opportunity to explore a primary school environment. Within the simulation, factors affecting the development and implementation of ICT would be modelled so that trainees would be able to develop the skills, knowledge and understanding necessary to identify appropriate strategies to overcome the limitations. To this end, we have developed Allsorts Primary - the prototype of a simulated interactive environment, representing a typical primary school

The Shared Memory Parallelisation of an Ocean Modelling Code using an Interactive Parallelisation Toolkit

This paper briefly describes an interactive parallelisation toolkit that can be used to generate parallel code suitable for either a distributed memory system (using message passing) or a shared memory system (using OpenMP). This study focuses on how the toolkit is used to parallelise a complex heterogeneous ocean modelling code within a few hours for use on a shared memory parallel system. The generated parallel code is essentially the serial code with OpenMP directives added to express the parallelism. The results show that substantial gains in performance can be achieved over the single thread version with very little effort.

Scheduling parallel dedicated machines under a single non-shared resource

The scheduling problem of minimizing the makespan for m parallel dedicated machines under single resource constraints is considered. For different variants of the problem the complexity status is established. Heuristic algorithms employing the so-called group technology approach are presented and their worst-case behavior is examined. Finally, a polynomial time approximation scheme is presented for the problem with fixed number of machines.

Exploiting virtual prototyping for reliability assessment

Products manufactured by the electronics sector are having a major impact in telecommunications, transportation space applications, biomedical applications, consumer products, intelligent hand held devices, and of course,the computer. Demands from end-users in terms of greater product functionality, adoption of environmentally friendly materials, and further miniaturization continually pose several challenges to electronics companies. In the context of electronic product design and manufacture, virtual prototying software tools are allowing companies to dramatically reduce the number of phsysical prototypes and design iterations required in product development and hence reduce costs and time to market. This paper details of the trends in these technolgies and provides an example of their use for flip-chip assembly technology.

Powering the virtual university with standard portal technology

This article describes ongoing research on developing a portal framework based on the OASIS Web Services for Remote Portlets (WSRP) standard for integration of Web-based education contents and services made available through a model for a European Networked University. We first identify the requirements for such a framework that supports integration at the presentation level and collaboration in developing and updating study programmes and course materials. We then outline the architecture design, and report on the initial implementation and preliminary evaluation.

Virtual assignments: breach of covenant against parting with or sharing of possession

Comments on the Chancery Division decision in Clarence House Ltd v National Westminster Bank Plc on whether the alienation covenant in a lease of commercial premises had been breached by the tenant effecting a virtual assignment of it, under which all the economic benefits and burdens of the lease were transferred to a third party without there being any actually assignment of the leasehold interest or change in occupancy.

Spaces of observation and obscurity: cinematic prisons of light and dark

In The Eye of Power, Foucault delineated the key concerns surrounding hospital architecture in the latter half of the eighteenth century as being the ‘visibility of bodies, individuals and things'. As such, the ‘new form of hospital' that came to be developed ‘was at once the effect and support of a new type of gaze'. This was a gaze that was not simply concerned with ways of minimising overcrowding or cross-contamination. Rather, this was a surveillance intended to produce knowledge about the pathological bodies contained within the hospital walls. This would then allow for their appropriate classification. Foucault went on to describe how these principles came to be applied to the architecture of prisons. This was exemplified for him in the distinct shape of Bentham's panopticon. This circular design, which has subsequently become an often misused synonym for a contemporary culture of surveillance, was premised on a binary of the seen and the not-seen. An individual observer could stand at the central point of the circle and observe the cells (and their occupants) on the perimeter whilst themselves remaining unseen. The panopticon in its purest form was never constructed, yet it conveys the significance of the production of knowledge through observation that became central to institutional design at this time and modern thought more broadly. What is curious though is that whilst the aim of those late eighteenth century buildings was to produce wellventilated spaces suffused with light, this provoked an interest in its opposite. The gothic movement in literature that was developing in parallel conversely took a ‘fantasy world of stone walls, darkness, hideouts and dungeons…' as its landscape (Vidler, 1992: 162). Curiously, despite these modern developments in prison design, the façade took on these characteristics. The gothic imagination came to describe that unseen world that lay behind the outer wall. This is what Evans refers to as an architectural ‘hoax'. The façade was taken to represent the world within the prison walls and it was the façade that came to inform the popular imagination about what occurred behind it. The rational, modern principles ordering the prison became conflated with the meanings projected by and onto the façade. This confusion of meanings have then been repeated and reenforced in the subsequent representations of the prison. This is of paramount importance since it is the cinematic and televisual representation of the prison, as I argue here and elsewhere, that maintain this erroneous set of meanings, this ‘hoax'.

Delivering processing instruction in classroom and virtual contexts

Processing Instruction (PI) is an approach to grammar instruction for second language learning. It derives its name from the fact that the instruction (both the explicit explanation as well as the practices) attempt to influence, alter, and/or improve the way learners process input. PI contrasts with traditional grammar instruction in many ways, most principally in its focus on input whereas traditional grammar instruction focuses on learners' output. The greatest contribution of PI to both theory and practice is the concept of "structured input", a form of comprehensible input that has been manipulated to maximize learners' benefit of exposure to input. This volume focuses on a new issue for PI, the role of technology in language learning. It examines empirically the differential effects of delivering PI in classrooms with an instructor and students interacting (with each other and with the instructor) versus on computers to students working individually. It also contributes to the growing body of research on the effects of PI on different languages as well as different linguistic items: preterite/imperfect aspectual contrast and negative informal commands in Spanish, the subjunctive of doubt and opinion in Italian, and the subjunctive of doubt in French. Further research contributions are made by comparing PI with other types of instruction, specifically, with meaning-oriented output instruction.

Safe spaces and sense of identity: views and experiences of lesbian, gay and bisexual young people

Empirical data on the life experiences of contemporary school-age lesbian, gay and bisexual (LGB) young people in Britain remains somewhat sparse. This paper reports the preliminary findings of a study conducted at a recently-initiated LGB youth Summer School. To further an appreciation of issues of concern to today's LGB teenagers, in-depth interviews were conducted with 10 Summer School participants (five female and five male, aged 15-18 years). The aim was to elicit their views and experiences relating to their need for support such as that offered by the Summer School. Themes drawn from participants' interviews are presented. Key issues included: being positioned as different by their majority heterosexual peers; feelings of isolation and loneliness in their peer groups and families; difficulties in finding others like themselves for companionship; and the importance of meeting more LGB people of their own age.