Argumentos para los futuros maestros en torno al conocimiento matemático

Departing from initial training on Mathematics teaching, this article analyses several beliefs held by future teachers regarding mathematical knowledge. Some of these beliefs are an authentic obstacle for an advance towards quality Mathematics teaching, therefor, the autors reproduce five arguments given to groups of future teachers in order to tackle some of their beliefs on Mathematics and making them build, modify or consolidate a more complex imatge of mathematical knowledge and Mathematics work in the classroom

Evolución y retos de la educación virtual : construyendo el e-learning del siglo XXI

Las autoras y autores de este libro ofrecen una descripción de la evolución general del e-learning apuntando los elementos clave hacia los que debe ir evolucionando. Parten de la experiencia y la práctica contrastada con las investigaciones sobre el tema. A lo largo de los distintos capítulos nos muestran cómo vive un estudiante virtual, su papel y la manera en que plantea y organiza sus actividades; nos acercan al profesorado analizando su rol en el diseño de la formación y la comunicación con los estudiantes; hablan de la colaboración, analizando cómo diseñar actividades colaborativas y señalando sus ventajas y límites; describen los diferentes recursos de aprendizaje que podemos disponer en el diseño de los cursos y, por último, acompañan nuestra mirada hacia el futuro próximo analizando las tendencias y los retos a los que debemos hacer frente para construir el e-learning del siglo XXI.

La experiencia laboral durante los estudios universitarios: el rol las prácticas en los estudios de turismo

El nuevo Espacio Europeo de Educación Superior, al que dan forma entre otros la Declaración de Bolonia (1999), favorecerá la movilidad de estudiantes y profesionales mediante la armonización de los estudios universitarios en el espacio europeo. Uno de los puntos más estresados en este proceso de convergencia de los estudios es el enfoque práctico que la educación superior tiene que ofrecer. El objetivo de este trabajo es mostrar un aspecto de este enfoque práctico: lasprácticas de estudiantes, que son una cooperación universidad - empresa. Habitualmente estas prácticas laborales significan la primera oportunidad para que los estudiantes experimenten un contacto con el mundo de los negocios y también una oportunidad para tomar conciencia de la aplicabilidad de los conocimientos adquiridos en las aulas. En particular, este trabajo expondrá el ejemplo de prácticas de estudiantes durante sus estudios sobre el turismo en la Facultad de Turismo de la Universidad de Girona. El Grado en Turismo estipula pasantías obligatorias para los estudiantes, siendo conscientes de su utilidad para proporcionar una visión del sector profesional y también como una característica positiva para su incorporación en el mercado laboral. Sin embargo, los beneficios de estas experiencias no son sólo para los estudiantes, sino también para las empresas de alojamiento (como fuente de innovación) y de universidades (para posicionarse en sectores específicos)

Aplicació Actual de l’Aprenentatge Cooperatiu a la Universitat de Girona : passos cap a l’elaboració d’una guia sobre aprenentatge cooperatiu

The purpose of the present paper is to analyse the present state of thepractical application of cooperative learning methodologies at the University of Girona,to assess its strengths and weaknesses and to extract from that criteria, ideas andprinciples. These materials will be the basis upon which a guide or manual of use oncooperative learning will be drafted. The guide will be at the disposal of the UdGteaching staff and other people interested in it, with the aim of helping them with theirteaching and foster a higher degree of use of cooperative learning at the University. Thepaper presents the survey already conducted, as well as the methodology followed, thehypotheses of the study and the results obtained

Metodologías de enseñanza y aprendizaje reflexivos en la universidad. Una investigación centrada en la percepción de estudiantes de grado de la Universidad de Girona

The aim of the research presented in this article is to understand undergraduate students’ appraisal of the influence of reflective learning methodology in different aspects of their learning, and to obtain evidence of the main difficulties encountered by students and the main contributions of this kind of methodology into their learning process. The study was conducted in four different degree courses (Social education, Environmental sciences, Nursing, and Psychology) at the University of Girona Through the development of a self-report reflective learning questionnaire and its application to 162 students who participated in the experiences, we conclude that reflective learning can be positively assessed as having great potential to train university undergraduates

Impacto de la interactividad de un entorno virtual, en el fomento del aprendizaje colaborativo en la Universidad Santiago de Cali

En este estudio se analiza el impacto de la interactividad de un entorno virtual, el fomento del aprendizaje colaborativo de un grupo conformado por diez y seis (N=16) estudiantes del segundo semestre del programa de Ingeniería Industrial de la universidad Santiago de Cali. Se planteó como objetivo, establecer un foro virtual con una actividad de aprendizaje colaborativo, basada en un problema a resolver como tarea conjunta.La experiencia se desarrolló mediante un diseño de tipo exploratorio y descriptivo, enfocado en recolectar y analizar información que permitió comprender y valorar el impacto de la interactividad en el aprendizaje colaborativo de los estudiantes. Con el estudio, se apertura un espacio de discusión en torno al impacto real de las interacciones en el fomento del aprendizaje, durante la realización de tareas colaborativas de los estudiantes, utilizando el foro virtual como herramienta de apoyo.

The role of computational fluid dynamics in the management of unruptured intracranial aneurysms: a clinicians' view

Objective: The importance of hemodynamics in the etiopathogenesis of intracranial aneurysms (IAs) is widely accepted.Computational fluid dynamics (CFD) is being used increasingly for hemodynamic predictions. However, alogn with thecontinuing development and validation of these tools, it is imperative to collect the opinion of the clinicians. Methods: A workshopon CFD was conducted during the European Society of Minimally Invasive Neurological Therapy (ESMINT) Teaching Course,Lisbon, Portugal. 36 delegates, mostly clinicians, performed supervised CFD analysis for an IA, using the @neuFuse softwaredeveloped within the European project @neurIST. Feedback on the workshop was collected and analyzed. The performancewas assessed on a scale of 1 to 4 and, compared with experts’ performance. Results: Current dilemmas in the management ofunruptured IAs remained the most important motivating factor to attend the workshop and majority of participants showedinterest in participating in a multicentric trial. The participants achieved an average score of 2.52 (range 0–4) which was 63% (range 0–100%) of an expert user. Conclusions: Although participants showed a manifest interest in CFD, there was a clear lack ofawareness concerning the role of hemodynamics in the etiopathogenesis of IAs and the use of CFD in this context. More effortstherefore are required to enhance understanding of the clinicians in the subject.

An Empirical Study on Faculty Perceptions and Teaching Practices of Wikipedia

Some faculty members from different universities around the world have begun to use Wikipedia as a teaching tool in recent years. These experiences show, in most cases, very satisfactory results and a substantial improvement in various basic skills, as well as a positive influence on the students' motivation. Nevertheless and despite the growing importance of e-learning methodologies based on the use of the Internet for higher education, the use of Wikipedia as a teaching resource remains scarce among university faculty.Our investigation tries to identify which are the main factors that determine acceptance or resistance to that use. We approach the decision to use Wikipedia as a teaching tool by analyzing both the individual attributes of faculty members and the characteristics of the environment where they develop their teaching activity. From a specific survey sent to all faculty of the Universitat Oberta de Catalunya (UOC), pioneer and leader in online education in Spain, we have tried to infer the influence of these internal and external elements. The questionnaire was designed to measure different constructs: perceived quality of Wikipedia, teaching practices involving Wikipedia, use experience, perceived usefulness and use of 2.0 tools. Control items were also included for gathering information on gender, age, teaching experience, academic rank, and area of expertise.Our results reveal that academic rank, teaching experience, age or gender, are not decisive factors in explaining the educational use of Wikipedia. Instead, the decision to use it is closely linked to the perception of Wikipedia's quality, the use of other collaborative learning tools, an active attitude towards web 2.0 applications, and connections with the professional non-academic world. Situational context is also very important, since the use is higher when faculty members have got reference models in their close environment and when they perceive it is positively valued by their colleagues. As far as these attitudes, practices and cultural norms diverge in different scientific disciplines, we have also detected clear differences in the use of Wikipedia among areas of academic expertise. As a consequence, a greater application of Wikipedia both as a teaching resource and as a driver for teaching innovation would require much more active institutional policies and some changes in the dominant academic culture among faculty members.

Research and teaching: a holy or an unholy alliance?

Much of the self-image of the Western university hangs on the idea that research and teaching are intimately connected. The central axiom here is that research and teaching are mutually supportive of each other. An institution lacking such a set of relationships between research and teaching falls short of what it means to be a university. This set of beliefs raises certain questions: Is it the case that the presence of such a mutually supportive set of relationships between research and teaching is a necessary condition of the fulfilment of the idea of the university? (A conceptual question). And is it true that, in practice today, such a mutually supportive set of relationships between research and teaching characterises universities? (An empirical question). In my talk, I want to explore these matters in a critical vein. I shall suggest that: a) In practice today, such a mutually supportive set of relationships between research and teaching is in jeopardy. Far from supporting each other, very often research and teaching contend against each other. Research and teaching are becoming two separate ideologies, with their own interest structures. b) Historically, the supposed tight link between research and teaching is both of recent origin and far from universally achieved in universities. Institutional separateness between research and teaching is and has been evident, both across institutions and even across departments in the same institution. c) Conceptually, research and teaching are different activities: each is complex and neither is reducible to the other. In theory, therefore, research and teaching may be said to constitute a holy alliance but in practice, we see more of an unholy alliance. If, then, in an ideal world, a positive relationship between research and teaching is still a worthwhile goal, how might it be construed and worked for? Seeing research and teaching as two discrete and unified sets of activity is now inadequate. Much better is a construal of research and teaching as themselves complexes, as intermingling pools of activity helping to form the liquid university that is emerging today. On this view, research and teaching are fluid spaces, ever on the move, taking up new shapes, and themselves dividing and reforming, as the university reworks its own destiny in modern society. On such a perspective, working out a productive relationship between research and teaching is a complex project. This is an alliance that is neither holy nor unholy. It is an uneasy alliance, with temporary accommodations and continuous new possibilities.

Self and cross-velocity correlation functions and diffusion coefficients in liquids: a molecular dynamics study of binary mixtures of soft spheres

Molecular dynamics simulation is applied to the study of the diffusion properties in binary liquid mixtures made up of soft-sphere particles with different sizes and masses. Self- and distinct velocity correlation functions and related diffusion coefficients have been calculated. Special attention has been paid to the dynamic cross correlations which have been computed through recently introduced relative mean molecular velocity correlation functions which are independent on the reference frame. The differences between the distinct velocity correlations and diffusion coefficients in different reference frames (mass-fixed, number-fixed, and solvent-fixed) are discussed.

Using computational fluid dynamics to predict head losses in the auxiliary elements of a microirrigation sand filter

It is often assumed that total head losses in a sand filter are solely due to the filtration media and that there are analytical solutions, such as the Ergun equation, to compute them. However, total head losses are also due to auxiliary elements (inlet and outlet pipes and filter nozzles), which produce undesirable head losses because they increase energy requirements without contributing to the filtration process. In this study, ANSYS Fluent version 6.3, a commercial computational fluid dynamics (CFD) software program, was used to compute head losses in different parts of a sand filter. Six different numerical filter models of varying complexities were used to understand the hydraulic behavior of the several filter elements and their importance in total head losses. The simulation results show that 84.6% of these were caused by the sand bed and 15.4% were due to auxiliary elements (4.4% in the outlet and inlet pipes, and 11.0% in the perforated plate and nozzles). Simulation results with different models show the important role of the nozzles in the hydraulic behavior of the sand filter. The relationship between the passing area through the nozzles and the passing area through the perforated plate is an important design parameter for the reduction of total head losses. A reduced relationship caused by nozzle clogging would disproportionately increase the total head losses in the sand filter

Online Learning and Teaching in Higher Education, a book review

Peer-reviewed

An empirical study on faculty perceptions and teaching practices of Wikipedia

Peer-reviewed

Heterogeneous dynamics, aggregation and the persistence of economic shocks

It has been recently emphasized that, if individuals have heterogeneous dynamics, estimates of shock persistence based on aggregate data are significatively higher than those derived from its disaggregate counterpart. However, a careful examination of the implications of this statement on the various tools routinely employed to measure persistence is missing in the literature. This paper formally examines this issue. We consider a disaggregate linear model with heterogeneous dynamics and compare the values of several measures of persistence across aggregation levels. Interestingly, we show that the average persistence of aggregate shocks, as measured by the impulse response function (IRF) of the aggregate model or by the average of the individual IRFs, is identical on all horizons. This result remains true even in situations where the units are (short-memory) stationary but the aggregate process is long-memory or even nonstationary. In contrast, other popular persistence measures, such as the sum of the autoregressive coefficients or the largest autoregressive root, tend to be higher the higher the aggregation level. We argue, however, that this should be seen more as an undesirable property of these measures than as evidence of different average persistence across aggregation levels. The results are illustrated in an application using U.S. inflation data.

Study and implementation of some quantitative trading models

Quantitative or algorithmic trading is the automatization of investments decisions obeying a fixed or dynamic sets of rules to determine trading orders. It has increasingly made its way up to 70% of the trading volume of one of the biggest financial markets such as the New York Stock Exchange (NYSE). However, there is not a signi cant amount of academic literature devoted to it due to the private nature of investment banks and hedge funds. This projects aims to review the literature and discuss the models available in a subject that publications are scarce and infrequently. We review the basic and fundamental mathematical concepts needed for modeling financial markets such as: stochastic processes, stochastic integration and basic models for prices and spreads dynamics necessary for building quantitative strategies. We also contrast these models with real market data with minutely sampling frequency from the Dow Jones Industrial Average (DJIA). Quantitative strategies try to exploit two types of behavior: trend following or mean reversion. The former is grouped in the so-called technical models and the later in the so-called pairs trading. Technical models have been discarded by financial theoreticians but we show that they can be properly cast into a well defined scientific predictor if the signal generated by them pass the test of being a Markov time. That is, we can tell if the signal has occurred or not by examining the information up to the current time; or more technically, if the event is F_t-measurable. On the other hand the concept of pairs trading or market neutral strategy is fairly simple. However it can be cast in a variety of mathematical models ranging from a method based on a simple euclidean distance, in a co-integration framework or involving stochastic differential equations such as the well-known Ornstein-Uhlenbeck mean reversal ODE and its variations. A model for forecasting any economic or financial magnitude could be properly defined with scientific rigor but it could also lack of any economical value and be considered useless from a practical point of view. This is why this project could not be complete without a backtesting of the mentioned strategies. Conducting a useful and realistic backtesting is by no means a trivial exercise since the \laws" that govern financial markets are constantly evolving in time. This is the reason because we make emphasis in the calibration process of the strategies' parameters to adapt the given market conditions. We find out that the parameters from technical models are more volatile than their counterpart form market neutral strategies and calibration must be done in a high-frequency sampling manner to constantly track the currently market situation. As a whole, the goal of this project is to provide an overview of a quantitative approach to investment reviewing basic strategies and illustrating them by means of a back-testing with real financial market data. The sources of the data used in this project are Bloomberg for intraday time series and Yahoo! for daily prices. All numeric computations and graphics used and shown in this project were implemented in MATLAB^R scratch from scratch as a part of this thesis. No other mathematical or statistical software was used.