Dynamics in Thompson's group F

We describe an explicit relationship between strand diagrams and piecewise-linear functions for elements of Thompson’s group F. Using this correspondence, we investigate the dynamics of elements of F, and we show that conjugacy of one-bump functions can be described by a Mather-type invariant.

The loop group and the cobar construction

"Vegeu el resum a l'inici del document del fitxer adjunt."

Singular integrals on Ahlfors-David regular subsets of the Heisenberg group

"Vegeu el resum a l'inici del document del fitxer adjunt."

An irreducibility criterion for group representations, with arithmetic applications

We prove a criterion for the irreducibility of an integral group representation p over the fraction field of a noetherian domain R in terms of suitably defined reductions of p at prime ideals of R. As applications, we give irreducibility results for universal deformations of residual representations, with a special attention to universal deformations of residual Galois representations associated with modular forms of weight at least 2.

La implementació dels ECTS a la titulació de Formació del Professorat : fomentant l'aprenentatge significatiu mitjançant b-learning, metodologies didàctiques innovadores i l'avaluació contínua

Aquest projecte ha servit per (1) establir un treball col·laboratiu entre el professorat que habitualment impartim les assignatures de Didàctica general i atenció a la diversitat i Organització del Centre Escolar; (2) dissenyar conjuntament espais del campus virtual en la plataforma moodle; (3) compartir material i experiències docents fent formació entre iguals; (4) dissenyar i desenvolupar accions didàctiques innovadores per afavorir l'aprenentatge significatiu; (5) prendre posició respecte a l'elaboració dels nous graus de Formació del Professorat i reelaborar els plans docents nous. Les noves titulacions, el disseny per competències, l’EEES ens ha obligat a fer una reflexió sobre la nostra docència, l’educació superior i la formació dels futurs mestres. Aquest projecte ha recolzat la tasca habitual, donant-li una orientació concreta, en ell hem estat implicat un grup important de professors i professores així com d’alumnes perquè s’ha implementat en els 13 grups d’alumnes de Formació del Professorat i en dues assignatures troncals i obligatòries. Per fer seguiment del treball hem analitzat els productes d’aprenentatges, els espais moodle, així mateix hem anat recollint les valoracions dels estudiants fent qüestionaris i grups de discussió. Tot i que el treball desenvolupat es considera positiu, hi ha aspectes per millorar que també es destaquen en l’informe: dificultats per manca de temps, poc reconeixement, necessitat de cohesionar i estabilitzar equips docents, necessitat d’incorporar tècniques especialistes en el disseny d’entorns virtuals d’aprenentatge en els equips docents, entre d’altres. D’altra banda amb l’elaboració dels nous plans d’estudis les assignatures amb les que hem treballat han perdut l’entitat i el pes que tenien per tenir-ne una altra i en des de 2007 fins a ara hem anat perdent professorat estable i incorporant associats. Fets que fan necessari seguir avançant d’altres maneres, per tant finalitzem un projecte, però es necessari replantejar-se un altre.

Cooperative learning in the ESL classroom

This research explores the advantages and disadvantages of collaborative learning departing from two different methodological studies. In the first one, we will go deep into the reflections about group work of a student-teacher in her first experiences during a two months practicum in Sabadell's Emily Bronte. In the second one, we will analyze in a more empirical way the interaction that takes place among a trio of students engaged in a question-answering task about a text based on a three minutes vignette recorded on January 2010

Group strategy-proof social choice functions with binary ranges and arbitrary domains: characterization results

We define different concepts of group strategy-proofness for social choice functions. We discuss the connections between the defined concepts under different assumptions on their domains of definition. We characterize the social choice functions that satisfy each one of them and whose ranges consist of two alternatives, in terms of two types of basic properties.

Entorns col•laboratius virtuals asíncrons basats en Web i enfocats en la gestió del coneixement = Web-based Asynchronous Collaborative Environments Focused on Knowledge Management

Report for the scientific sojourn at the University of California at Berkeley, USA, from september 2007 until july 2008. Communities of Learning Practice is an innovative paradigm focused on providing appropriate technological support to both formal and especially informal learning groups who are chiefly formed by non-technical people and who lack of the necessary resources to acquire such systems. Typically, students who are often separated by geography and/or time have the need to meet each other after classes in small study groups to carry out specific learning activities assigned during the formal learning process. However, the lack of suitable and available groupware applications makes it difficult for these groups of learners to collaborate and achieve their specific learning goals. In addition, the lack of democratic decision-making mechanisms is a main handicap to substitute the central authority of knowledge presented in formal learning.

Workers cooperation within the firm: an analysis using small and medium size firms

We investigate the determinants of teamwork and workers cooperation within the firm. Up to now the literature has almost exclusively focused on workers incentives as the main determinants for workers cooperation. We take a broader look at the firm's organizational design and analyze the impact that different aspects of it might have on cooperation. In particular, we consider the way in which the degree of decentralization of decisions and the use of complementary HRM practices (what we call the .rm.s vertical organizational design) can affect workers'collaboration with each other. We test the model's predictions on a unique dataset on Spanish small and medium size firms containing a rich set of variables that allows us to use sensible proxies for workers cooperation. We find that the decentralization of labor decisions (and to a less extent that of task planning) has a positive impact on workers cooperation. Likewise, cooperation is positively correlated to many of the HRM practices that seem to favor workers'interaction the most. We also confirm the previous finding that collaborative efforts respond positively to pay incentives, and particularly, to group or company incentives.

Projecte AWITGV : aplicació web per a informes del treball en grups virtuals

Aquest projecte vol dissenyar i implementar una aplicació web que permeti omplir els informes d'autoavaluació als estudiants de les assignatures amb pràctiques amb grup de la UOC. Una de les solucions és treballar mitjançant un entorn virtual, com és el Basic Support for Collaborative Work (BSCW), en el qual cada grup té el seu lloc privat on només poden accedir ells i els seus consultors.

The Value of Imperfection : the Wabi-Sabi Principle in Aesthetics and Learning

OER-based learning has the potential to overcome many shortcomings and problems of traditional education. It is not hampered by IP restrictions; can depend on collaborative, cumulative, iterative refinement of resources; and the digital form provides unprecedented flexibility with respect to configuration and delivery. The OER community is a progressive group of educators and learners with decades of learning research to draw from, who know that we must prepare learners for an evolving and diverse reality. Despite this OER tends to replicate the unsuccessful characteristics of traditional education. To remedy this we may need to remember the importance of imperfection, mistakes, problems, disagreement, and the incomplete for engaged learning, and relinquish our notions of perfection, acknowledging that learners learn differently and we need diverse learners. We must stretch our perceptions of quality and provide mechanisms for engaging the incredible pool of educators globally to fulfill the promise of inclusive education.

Open video tools to support the production of online collaborative audiovisual projects : how to promote collective creation in e-learning

This paper analyses the use of open video editing tools to support the creation and production of online collaborative audiovisual projects for higher education. It focuses on the possibilities offered by these tools to promote collective creation in virtual environments.

Sistema de votació electrònica sobre corbes el·líptques amb mescla de vots mitjançant Random Group Full Checking

L'objectiu del treball és dissenyar i implementar un sistema de simulació de votació electrònica, emprant una adaptació sobre corbes el·líptiques del criptosistema ElGamal, per tal d'estudiar-ne la viabilitat, centrant l'atenció en temes de seguretat, especialment en el procés de mescla de vots per tal de desvincular un vot de la persona que l'ha emès.

eKnowledge Project: Developing and piloting a forum tool to support the collaborative construction of knowledge on the UOC's Virtual Campus

Final report of the eKnowledge's project, an online forum tool that offers consultants and students the chance to create spaces for asynchronous communication and collaboration.