768 resultados para formative assessment in mathematics


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The work agenda includes the production of a report on different doctoral programmes on “Technology Assessmentin Europe, the US and Japan, in order to analyse collaborative post-graduation activities. Finally, the proposals on collaborative post-graduation programme between FCTUNL and ITAS-FZK will be organised by an ongoing discussion process with colleagues from ITAS.

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The Maxwell equations, expressing the fundamental laws of electricity and magnetism, only involve the integer-order calculus. However, several effects present in electromagnetism, motivated recently an analysis under the fractional calculus (FC) perspective. In fact, this mathematical concept allows a deeper insight into many phenomena that classical models overlook. On the other hand, genetic algorithms (GA) are an important tool to solve optimization problems that occur in engineering. In this work we use FC and GA to implement the electrical potential of fractional order. The performance of the GA scheme and the convergence of the resulting approximations are analyzed.

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Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades. It has been recognized the advantageous use of this mathematical tool in the modelling and control of many dynamical systems. Having these ideas in mind, this paper discusses a FC perspective in the study of the dynamics and control of several systems. The paper investigates the use of FC in the fields of controller tuning, legged robots, electrical systems and digital circuit synthesis.

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Relatório de estágio apresentado à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Ensino do 1.º e 2.º Ciclo do Ensino Básico

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Trabalho de projeto apresentado à Escola Superior de Comunicação Social como parte dos requisitos para obtenção de grau de mestre em Audiovisual e Multimédia.

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This paper is part of the Project “Adaptive thinking and flexible computation: Critical issues”. It discusses what is meant by adaptive thinking and presents the results of individual interviews with four pupils. The main goal of the study is to understand pupils’ reasoning when solving numerical tasks involving additive situations, and identify features associated with adaptive thinking. The results show that, in the case of first grade pupils, the semantic aspects of the problem are involved in its resolution and the pupils’ performance appears to be related to the development of number sense. The 2nd grade pupils seem to see the quantitative difference as an invariant numerical relationship.

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Population dynamics have been attracting interest since many years. Among the considered models, the Richards’ equations remain one of the most popular to describe biological growth processes. On the other hand, Allee effect is currently a major focus of ecological research, which occurs when positive density dependence dominates at low densities. In this chapter, we propose the dynamical study of classes of functions based on Richards’ models describing the existence or not of Allee effect. We investigate bifurcation structures in generalized Richards’ functions and we look for the conditions in the (β, r) parameter plane for the existence of a weak Allee effect region. We show that the existence of this region is related with the existence of a dovetail structure. When the Allee limit varies, the weak Allee effect region disappears when the dovetail structure also disappears. Consequently, we deduce the transition from the weak Allee effect to no Allee effect to this family of functions. To support our analysis, we present fold and flip bifurcation curves and numerical simulations of several bifurcation diagrams.

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Dissertation presented at Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia in fulfilment of the requirements for the Masters degree in Mathematics and Applications, specialization in Actuarial Sciences, Statistics and Operations Research

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O presente estudo partiu do problema “Como promover aprendizagens da Matemática e do Estudo do Meio numa perspetiva interdisciplinar, explorando o mundo real?”. Neste sentido, tem como objetivos: selecionar recursos e atividades que se revelem motivadoras para os alunos; demonstrar a relevância da inter-relação de diferentes conceitos e a importância da sua ligação com as vivências dos alunos; ativar o envolvimento dos alunos para a aprendizagem da Matemática através do Estudo do meio e de situações do mundo real; estimular a perceção do aluno da presença da Matemática nos conteúdos de Estudo do Meio; fomentar a compreensão da relação dos conteúdos de Matemática e estudo do Meio. Com este propósito formularam-se as seguintes questões: (1) Que tipo de atividades se poderão proporcionar de forma a motivar os alunos para os conteúdos do Estudo do Meio e da Matemática? (2) De que forma a exploração das situações/conceções do quotidiano poderá promover o envolvimento dos alunos na aprendizagem da Matemática e do Estudo do Meio? (3) De que forma o Ensino Experimental das Ciências numa perspetiva interdisciplinar pode contribuir para desenvolver tanto as competências conceptuais (fatores do ambiente: temperatura e humidade/OTD/números racionais), como capacidades de pensamento crítico e tomada de decisão inerente? Tendo em vista os objetivos do estudo, desenvolveram-se, com uma turma do 2º ano de escolaridade, quatro situações formativas, que envolveram as disciplinas de Matemática e Estudo do Meio. O domínio de conteúdos preponderante na área de Estudo do Meio foi À descoberta do Ambiente Natural, enquanto na Matemática os domínios predominantes foram Organização e tratamento de dados e Números e operações. Foram realizadas diversas atividades experimentais, onde os alunos tiveram um papel ativo na construção dos seus conhecimentos. A investigação segue uma metodologia qualitativa, centrando-se num estudo de caso, onde se caracteriza uma experiência interdisciplinar que envolveu as disciplinas de Matemática e Estudo do Meio. Os dados foram recolhidos pela professora investigadora através de gravações de vídeo e áudio, fotografias, trabalhos dos alunos e de registos da professora investigadora. Os resultados demonstraram como os alunos mobilizaram e apropriaram os conteúdos de Matemática e Estudo do Meio. Os dados, através da análise de conteúdo, parecem iv sugerir que houve uma evolução no desempenho dos alunos a vários níveis, nomeadamente: no trabalho cooperativo, no envolvimento da tarefa, nas interações estabelecidas e na motivação para a aprendizagem da Matemática e Estudo do Meio.

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Paper presented as "key note" at the Doctorate Conference on Technology Assessment in June 2011, at FCT-UNL, Monte de Caparica.

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Based on the report for “Project IV” unit of the PhD programme on Technology Assessment (Doctoral Conference) at Universidade Nova de Lisboa (December 2011). This thesis research has the supervision of António Moniz (FCT-UNL and ITAS-KIT) and Michael Decker (Karlsruhe Institute of Technology-ITAS). Other members of the thesis committee are Carlos Alberto da Silva (University of Évora), José Maria de Albuquerque (Institute of Welding and Quality), Lotte Steuten (University of Twente), Mário Forjaz Secca (FCT-UNL) and Nelson Chibeles Martins (FCT-UNL).

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Based on the report for the unit “Project III” of the PhD programme on Technology Assessment in 2011. The unit was supervised by Prof. António B. Moniz (FCT-UNL).

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The problematic situation faced by clients, associated to the processes of health and disease, is expressed through emotions that nursing students have to deal with in the course of care and their formative experiences in clinical teaching. Students have learning needs not only to manage emotions in the context of customer care, but also in terms of their own internal world, emotional conflicts, emotional stress and burn-out. With the present literature review, we intend to explore existing evidence regarding the ways in which the nurse supervisor's support towards nursing students potentiates the development of their competences for the performance of emotional labour. These skills prove to be the key in the ability to manage the emotionally intense situations of care practice and the support function of the nursing supervisor contributes to the development of such competences.

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The Corporate world is becoming more and more competitive. This leads organisations to adapt to this reality, by adopting more efficient processes, which result in a decrease in cost as well as an increase of product quality. One of these processes consists in making proposals to clients, which necessarily include a cost estimation of the project. This estimation is the main focus of this project. In particular, one of the goals is to evaluate which estimation models fit the Altran Portugal software factory the most, the organization where the fieldwork of this thesis will be carried out. There is no broad agreement about which is the type of estimation model more suitable to be used in software projects. Concerning contexts where there is plenty of objective information available to be used as input to an estimation model, model-based methods usually yield better results than the expert judgment. However, what happens more frequently is not having this volume and quality of information, which has a negative impact in the model-based methods performance, favouring the usage of expert judgement. In practice, most organisations use expert judgment, making themselves dependent on the expert. A common problem found is that the performance of the expert’s estimation depends on his previous experience with identical projects. This means that when new types of projects arrive, the estimation will have an unpredictable accuracy. Moreover, different experts will make different estimates, based on their individual experience. As a result, the company will not directly attain a continuous growing knowledge about how the estimate should be carried. Estimation models depend on the input information collected from previous projects, the size of the project database and the resources available. Altran currently does not store the input information from previous projects in a systematic way. It has a small project database and a team of experts. Our work is targeted to companies that operate in similar contexts. We start by gathering information from the organisation in order to identify which estimation approaches can be applied considering the organization’s context. A gap analysis is used to understand what type of information the company would have to collect so that other approaches would become available. Based on our assessment, in our opinion, expert judgment is the most adequate approach for Altran Portugal, in the current context. We analysed past development and evolution projects from Altran Portugal and assessed their estimates. This resulted in the identification of common estimation deviations, errors, and patterns, which lead to the proposal of metrics to help estimators produce estimates leveraging past projects quantitative and qualitative information in a convenient way. This dissertation aims to contribute to more realistic estimates, by identifying shortcomings in the current estimation process and supporting the self-improvement of the process, by gathering as much relevant information as possible from each finished project.

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Based on the report for the unit “Project IV” of the PhD programme on Technology Assessment under the supervision of Dr.-Ing. Marcel Weil and Prof. Dr. António Brandão Moniz. The report was presented and discussed at the Doctorate Conference on Technologogy Assessment in July 2013 at the University Nova Lisboa, Caparica campus.