SIGMA THEORY AND TWISTED CONJUGACY CLASSES

Using Sigma theory we show that for large classes of groups G there is a subgroup H of finite index in Aut(G) such that for phi is an element of H the Reidemeister number R(phi) is infinite. This includes all finitely generated nonpolycyclic groups G that fall into one of the following classes: nilpotent-by-abelian groups of type FP(infinity); groups G/G `` of finite Prufer rank; groups G of type FP(2) without free nonabelian subgroups and with nonpolycyclic maximal metabelian quotient; some direct products of groups; or the pure symmetric automorphism group. Using a different argument we show that the result also holds for 1-ended nonabelian nonsurface limit groups. In some cases, such as with the generalized Thompson`s groups F(n,0) and their finite direct products, H = Aut(G).

Integrating the LMS in service oriented e-learning systems

Learning management systems are routinely used for presenting, solving and grading exercises with large classes. However, teachers are constrained to use questions with pre-defined answers, such as multiple-choice, to automatically correct the exercises of their students. Complex exercises cannot be evaluated automatically by the LMS and require the coordination of a set of heterogeneous systems. For instance, programming exercises require a specialized exercise resolution environment and automatic evaluation features, each provided by a different type of system. In this paper, the authors discuss an approach for the coordination of a network of eLearning systems supporting the resolution of exercises. The proposed approach is based on a pivot component embedded in the LMS and has two main roles: 1) provide an exercise resolution environment, and 2) coordinate communication between the LMS and other systems, exposing their functions as web services. The integration of the pivot component in the LMS relies on Learning Tools Interoperability (LTI). This paper presents an architecture to coordinate a network of eLearning systems and validate the proposed approach by creating such a network integrated with LMS from two different vendors.

Testing speaking in 2ND and 3RD cycles at Capeverdean EFL classrooms

This study aims to identify the constraints that complicate the assessment of speaking in Capeverdean EFL classrooms. A literature review was conducted on studies already done in the field of testing speaking in EFL Capeverdean classrooms. The study was carried out using qualitative method with some Capeverdean secondary school English teachers. The participants answered a questionnaire that asked teachers opinions and experiences about speaking assessment. The study found that Capeverdean English teachers do not adequately assess their students speaking ability. Therefore, the study pointed out the constraints of the Capeverdean context that complicate the assessment of speaking in EFL classrooms. The teachers reported the main constraints in order of significance as large classes, difficulty in marking oral tests, difficulty in designing oral tests and difficulty in separating the speaking skill from the listening skill. It concluded that Capeverdean English teachers need assistance with new tools to assess speaking in their classrooms. Thus, the author will make some suggestions, first to the Ministry of Education and then to English teachers in the field to assist them with the implementation of regular oral testing in Cape Verdean English classrooms.

New horizons for black holes and branes

We initiate a systematic scan of the landscape of black holes in any spacetime dimension using the recently proposed blackfold effective worldvolume theory. We focus primarily on asymptotically flat stationary vacuum solutions, where we uncover large classes of new black holes. These include helical black strings and black rings, black odd-spheres, for which the horizon is a product of a large and a small sphere, and non-uniform black cylinders. More exotic possibilities are also outlined. The blackfold description recovers correctly the ultraspinning Myers-Perry black holes as ellipsoidal even-ball configurations where the velocity field approaches the speed of light at the boundary of the ball. Helical black ring solutions provide the first instance of asymptotically flat black holes in more than four dimensions with a single spatial U(1) isometry. They also imply infinite rational non-uniqueness in ultraspinning regimes, where they maximize the entropy among all stationary single-horizon solutions. Moreover, static blackfolds are possible with the geometry of minimal surfaces. The absence of compact embedded minimal surfaces in Euclidean space is consistent with the uniqueness theorem of static black holes

New horizons for black holes and branes

We initiate a systematic scan of the landscape of black holes in any spacetime dimension using the recently proposed blackfold effective worldvolume theory. We focus primarily on asymptotically flat stationary vacuum solutions, where we uncover large classes of new black holes. These include helical black strings and black rings, black odd-spheres, for which the horizon is a product of a large and a small sphere, and non-uniform black cylinders. More exotic possibilities are also outlined. The blackfold description recovers correctly the ultraspinning Myers-Perry black holes as ellipsoidal even-ball configurations where the velocity field approaches the speed of light at the boundary of the ball. Helical black ring solutions provide the first instance of asymptotically flat black holes in more than four dimensions with a single spatial U(1) isometry. They also imply infinite rational non-uniqueness in ultraspinning regimes, where they maximize the entropy among all stationary single-horizon solutions. Moreover, static blackfolds are possible with the geometry of minimal surfaces. The absence of compact embedded minimal surfaces in Euclidean space is consistent with the uniqueness theorem of static black holes

Perfil sócio-econômico dos alunos, repetência e evasão no curso de Química da UFMG

This paper describes a study about the causes for the dropout of chemistry undergraduate students at UFMG in the nineties. The students' social and economic profile was outlined. It was observed a correlation between family income and academic performance and between failure at the beginning of the course and the dropout, but it seems that family income doesn't affect markedly the dropout. The endogenous and exogenous causes contribute equally for the dropout. The authors suggest that the dropout could be significantly reduced if the endogenous causes such as large classes, inadequate curricula and programmes, poor teaching and the unapproachability on the part of the teachers were faced.

Experiences among primary school teachers in Tanzania

The overall aim of the study was to explore primary school teachers’ experiences of constraints to their work, and actions taken for improvement after undergoing in-service courses in the Education Quality Improvement through Pedagogy program. The research interest was thus to deepen the understanding of teachers’ experiences of constraints to their work and experiences of actions taken to improve classroom actions. In order to achieve this ambition, the study was conducted with primary school teachers in Shinyanga district-Tanzania. Two research questions guided the study: What do teachers experience as constraints to their work? The second: How have teachers improved their classroom actions after undergoing professional development courses? The theoretical framework of the study is centred on limiting and enabling frames on teachers’ work and professional development. In order to understand the classroom situations, qualitative research was designed applying a phenomenological approach with semi-structured interview, observation and videotaping to collect data. Forty experienced primary school teachers from ten primary schools participated in the study. The results of the first research question indicate that teachers face many constraints in their work. Three categories identified as interactional, environmental and professional role constraints. The most critical experienced by all teachers is teaching in large classes and inadequate teaching and learning materials. The results of the second research question show that teachers’ actions taken for improving their work were influenced by professional development activities. Three main categories including expanded interaction, expanded use of environment and expanded professional roles were identified. Generally, the knowledge generated is relevant for viewing teachers’ experiences of the challenges they encounter in teaching and the importance of professional development beyond the sampled respondents. The results suggest that constant provision of teachers’ professional development could improve teaching performance.

Strategy-proofness makes the difference: deferred-acceptance with responsive priorities

In college admissions and student placements at public schools, the admission decision can be thought of as assigning indivisible objects with capacity constraints to a set of students such that each student receives at most one object and monetary compensations are not allowed. In these important market design problems, the agent-proposing deferred-acceptance (DA-)mechanism with responsive strict priorities performs well and economists have successfully implemented DA-mechanisms or slight variants thereof. We show that almost all real-life mechanisms used in such environments - including the large classes of priority mechanisms and linear programming mechanisms - satisfy a set of simple and intuitive properties. Once we add strategy-proofness to these properties, DA-mechanisms are the only ones surviving. In market design problems that are based on weak priorities (like school choice), generally multiple tie-breaking (MTB)procedures are used and then a mechanism is implemented with the obtained strict priorities. By adding stability with respect to the weak priorities, we establish the first normative foundation for MTB-DA-mechanisms that are used in NYC.

Computations in Relative Algebraic K-Groups

Let G be finite group and K a number field or a p-adic field with ring of integers O_K. In the first part of the manuscript we present an algorithm that computes the relative algebraic K-group K_0(O_K[G],K) as an abstract abelian group. We solve the discrete logarithm problem, both in K_0(O_K[G],K) and the locally free class group cl(O_K[G]). All algorithms have been implemented in MAGMA for the case K = \IQ. In the second part of the manuscript we prove formulae for the torsion subgroup of K_0(\IZ[G],\IQ) for large classes of dihedral and quaternion groups.

Lehman Flips for Clickers

The clicker is a versatile, easy to use electronic multiple choice device that helps provide instant feedback on what students are learning. In both hybrid and on-site classes, clickers provide a way to rapidly collect an answer to a question from every student; an answer for which they are all individually accountable. In this session, Biological sciences lecturer Rena Quinlan will describe her use of clickers with large classes that help students achieve defined course outcomes.

Student and teacher response system : development of an interactive anonymous real-timeformative feedback system

This paper is focusing IT-supported real-time formative feedback in a classroom context. The development of a Student and Teacher Response System (STRS) is described. Since there are a number of obstacles for effective interaction in large classes IT can be used to support the teachers aim to find out if students understand the lecture and accordingly adjust the content and design of the lecture. The system can be used for formative assessment before, during, and after a lecture. It is also possible for students to initiate interaction during lectures by posing questions anonymously. The main contributions of the paper are a) the description of the interactive real-time system and b) the development process behind it.