Uncertainty evaluation of multivariate quantities: A case study on electrical impedance

The paper discusses the evaluation of the uncertainty of a multivariate quantity using the Law of Propagation of Uncertainty defined in the Guide to the Expression of Uncertainty in Measurement (GUM) and a Monte Carlo method according to the GUM’s Supplement 2. The quantity analysed is the electrical impedance, which is not a scalar but a complex quantity. The used measuring method allows the evaluation of the impedance and of its uncertainty in different ways and the corresponding results are presented, compared and discussed. For comparison purposes, results of the impedance uncertainty obtained using the NIST Uncertainty Machine are also presented.

the health and well-being of nursing students in clinical practice . what prevents it? what promotes it?

Introduction: The training of nursing students in the context of clinical practice, is characterized by educational experiences, subject to various emotional stress (stress, ambivalence, frustration, conflict), sometimes making it very vulnerable student.However not all students use the same strategies minimizing their meanings and negative effects on the level of your health and well-being Objetiv:To analyze the perception that nursing students have about the determinants of their health status and well-being in clinical practice Methods: Exploratory research Results:The results reveal the complexity of the teaching / learning process in clinical practice, identified determinants that limit and / or promote health and well-being of students, or not contributing to their motivation, self-confidence and learning. All students value the presence of the following dimensions: affective-emotional (humanization in learning experiences); relational dynamics (interactions developed with all stakeholders); methods used (professional competence of the clinical supervisor and teacher); school curriculum (adaptation of learning in theory); socialization to the profession (become nurse).Conclusions: The results indicate, that although all students evidencing the dimensions described as fundamental to learning in clinical practice, the study results are dichotomous and ambivalent. Students 2nd and 3ºanos refer a low perception in clinical practice, the indicated dimensions, and for these source of concern and uncertainty in learning, such as limiting their health condition and well-being. For students of the 4th year, these dimensions are percecionadas as gifts, and sources of motivation, learning and catalysts such as promoting their health and well-being.

O conhecimento profissional do professor e as investigações matemáticas na sala de aula: Um estudo nos 1º e 2º ciclos do ensino básico

Este estudo tem como objetivo contribuir para a compreensão do conhecimento profissional do professor de Matemática envolvido no desenvolvimento de tarefas de investigação na sala de aula, focando-se em quatro questões orientadoras: (i) como é que os professores colocam em prática as tarefas de investigação, considerando a planificação e condução das aulas? (ii) que dificuldades sentem os professores no desenvolvimento de tarefas de investigação na sala de aula? (iii) como é que o conhecimento didático dos professores influencia o desenvolvimento de tarefas de investigação? (iv) como é que o conhecimento didático dos professores é influenciado pelo desenvolvimento de tarefas de investigação? A fundamentação teórica assenta sobre as duas grandes temáticas do estudo: o conhecimento profissional do professor, sendo discutida a sua natureza, estrutura e conteúdo, e as tarefas de investigação, das quais se aprofunda a natureza e a utilização em sala de aula. Apresenta-se ainda investigação empírica referente ao conhecimento profissional do professor envolvido no desenvolvimento de tarefas de investigação. O estudo assumiu uma abordagem interpretativa, concretizando-se através dois estudos de caso, um de uma professora de 1. ° Ciclo e outro de um professor de Matemática do 2. ° Ciclo do Ensino Básico. Estes professores trabalharam em colaboração com a investigadora sobre tarefas de investigação, que até aí não conheciam, planificando, lecionado e refletindo acerca de um conjunto de aulas com tarefas desta natureza. Foram recolhidos dados durante as sessões de trabalho referidas, bem como nas aulas e ainda em entrevistas realizadas a cada um dos professores. Uma leitura transversal dos casos permite retirar algumas conclusões. A possibilidade de enquadramento nos conteúdos programáticos parece ser o principal critério de seleção das tarefas por parte dos professores. Na planificação, é a inventariação dos conteúdos que a tarefa mobiliza a principal prioridade, na busca da redução do grau de incerteza relacionado com as eventuais reações dos alunos. Quanto à condução de tarefas de investigação, a fase de introdução foi a mais breve, tendo servido o objetivo de conduzir à compreensão do propósito da tarefa por parte dos alunos e também reforçar alguns aspetos metodológicos do trabalho investigativo. A fase de desenvolvimento da tarefa foi aquela a que o professor de 2. ° Ciclo atribuiu maior importância, embora também valorizada pela professora de 1. ° Ciclo. Aqui, os professores consideram que o seu papel é acompanhar e orientar o trabalho dos alunos, ajudando a ultrapassar possíveis obstáculos, mantendo uma atitude questionadora. Quanto à fase de discussão, a grande preocupação dos professores é garantir a compreensão das ideias apresentadas pelos alunos. No entanto, existem duas estratégias distintas: enquanto a professora de 1. ° Ciclo, que muito valorizou esta fase, estimula a interação aluno-aluno, atribuindo-lhes a responsabilidade de validar/rejeitar as conjeturas apresentadas, o professor de 2. ° Ciclo centra em si toda esta fase, assumindo a responsabilidade de corrigir as ideias apresentadas. O desenvolvimento de tarefas de investigação é influenciado pelo conhecimento didático, revelando-se determinantes o conhecimento dos alunos e da forma como aprendem e o conhecimento do processo instrucional. O desenvolvimento de tarefas de investigação influencia várias componentes do conhecimento didático do professor, permitindo-lhe fortalecer o seu conhecimento matemático, desenvolver um conhecimento mais completo dos alunos e da forma como aprendem. Por último, a prática letiva com tarefas de investigação fornece ao professor dados importantes de como planificar e conduzir tarefas de natureza aberta, de forma a tirar o máximo partido das suas potencialidades. ABSTRACT: This study’s aim is to contribute to the understanding of the professional knowledge of the Maths teacher, involved in the development of investigative tasks in the classroom, focusing four guiding questions: (i) how do teachers give practical way to the investigative tasks, having in mind the lesson plans and lesson execution? (ii) Which difficulties do the teachers face when developing the investigative tasks in the classroom? (iii) How does the teachers' didactical knowledge influence the development of the investigative tasks? (iv) How is the teachers' didactical knowledge influenced by the development of the investigative tasks? The theorical framework is based on two broad themes of the study: teacher's professional knowledge (discussing its nature, structure and contents) and the investigative tasks (whose nature and use in the classroom is deepened). Besides, empirical research in what concerns to the professional knowledge of the teacher involved in the development of investigative tasks is also added. The study assumed an interpretative approach, materialised through two case studies, one of a primary school teacher, the other of a preparatory school Maths teacher. The teachers worked in cooperation with the researcher on the investigative tasks, which, until then, they weren't familiar with, planning, teaching and thinking about a set of lessons with tasks of this kind. Data were collected during the work meetings, as well as in the lessons and also in interviews to each one of the teachers. A transversal appreciation of the cases allows us to draw some conclusions. The possibility of integrating the programmatic contents seems to be the main criteria for the selection of the tasks by the teachers. ln the planning, the main priority of the task is the inventory of contents, aiming to reduce the level of uncertainty in what concerns to eventual reactions of the students. ln what concerns to the conduction of the investigative tasks, the introduction phase was the shortest, fulfilling the aim of leading to the understanding of the proposal of the task by the students and also to reinforce some methodological aspects of the investigative work. The task's development phase was the one the preparatory school teacher dedicated more importance, though it was also valued by the primary school teacher. ln this aspect, the teachers consider that their role is to follow and lead the students’ work, helping them to overtake eventual obstacles, keeping the questioning attitude. ln what concerns the discussion phase, the big concern of the teachers is to reassure the understanding of the ideas presented by the students. However, there are two different strategies: while the primary school teacher, who really valued this phase, stimulates the student-student interaction, giving them the responsibility of validating/rejecting the presented conjectures; the preparatory school teacher centers around himself all this phase, assuming the responsibilities of correcting the presented ideas. The development of the investigative tasks is influenced by the didactical knowledge, and it is determinant the knowledge about the students and about the way they learn and the instructional knowledge. The development of the investigative tasks influences several components of the didactical knowledge of the teacher, allowing him/her to reinforce his mathematical knowledge, developing a more complete knowledge about the students and the way they learn. Finally, the lessons execution with investigative tasks provides the teacher with important data about how to plan and conduct open nature tasks, in order to take the biggest advantage of their potential.

Favourable areas for expansion and reintroduction of Iberian lynx accounting for distribution trends and genetic diversity of the European rabbit

Although on a local scale Iberian lynx distribution is determined by the availability of prey rabbits, recent modelling analyses have uncovered broad-scale disagreements between these two species’ distribution trends. These analyses showed also that the lynx had become restricted to only a fraction of the rabbit’s genetic diversity, and that this could be jeopardising its survival in the face of environmental hazards and uncertainty. In the present paper, a follow-up was carried out through the building of lynx and rabbit distribution models based on the most recent Spanish mammal atlas. Environmental favourability values for lynx and rabbit were positively correlated within the lynx’s current distribution area, but they were negatively correlated within the total Spanish area where lynx used to occur in the 1980’s. Environmental favourability for rabbits was significantly higher where lynx maintains reproductive populations than where it recently disappeared, indicating that rabbit favourability plays an important role and can be a good predictor of lynx persistence. The lynx and rabbit models were extrapolated to predict favourable areas for both species in Spain as well as in Portugal, on the original scale of the distribution data (10x10 km) and on a 100 times finer spatial resolution (1x1 km). The lynx and rabbit models were also combined through fuzzy logic to forecast the potential for lynx occurrence incorporating information on favourable areas for its main prey. Several areas are proposed as favourable for lynx expansion or re-introduction,

Analysis of Dyscalculia Evidences through Artificial Intelligence Systems

Dyscalculia is usually perceived of as a specific learning difficulty for mathematics or, more appropriately, arithmetic. Because definitions and diagnoses of dyscalculia are in their infancy and sometimes are contradictory. However, mathematical learning difficulties are certainly not in their infancy and are very prevalent and often devastating in their impact. Co-occurrence of learning disorders appears to be the rule rather than the exception. Co-occurrence is generally assumed to be a consequence of risk factors that are shared between disorders, for example, working memory. However, it should not be assumed that all dyslexics have problems with mathematics, although the percentage may be very high, or that all dyscalculics have problems with reading and writing. Because mathematics is very developmental, any insecurity or uncertainty in early topics will impact on later topics, hence to need to take intervention back to basics. However, it may be worked out in order to decrease its degree of severity. For example, disMAT, an app developed for android may help children to apply mathematical concepts, without much effort, that is turning in itself, a promising tool to dyscalculia treatment. Thus, this work will focus on the development of a Decision Support System to estimate children evidences of dyscalculia, based on data obtained on-the-fly with disMAT. The computational framework is built on top of a Logic Programming approach to Knowledge Representation and Reasoning, grounded on a Case-based approach to computing, that allows for the handling of incomplete, unknown, or even self-contradictory information.