Proof in classroom social practice

How does the construction of proof relate to the social practice developed in the mathematics classroom? This report addresses the role of diagrams in order to focus the complementarity of participation and reification in the process of constructing a proof and negotiating its meaning. The discussion is based on the analysis of the mathematical practice developed by a group of four 9th grade students and is inspired by the social theory of learning

Reasoning and proof in classroom (9th grade)

This paper is research oriented and pretends to contribute toward giving empirical evidence about how students develop their reasoning and how they achieved to a proof construction in school context. Its main theme is epistemology. It describes the way in which four students in 9th Grade explored a task related with the discovery of symmetry axes in various geometric figures. The proof constructed by students had essentially an explaining function and it was related with the symmetry axes of regular polygons. The teacher’s role in meaning negotiation of the proof and its need is described through illustrative episodes. The paper presents part of a study which purpose is to analyse the nature of mathematical proof in classroom, its role and the nature of the relationship between the construction of a proof and the social interactions. Assuming a social perspective, attention is focussed on the social construction of knowledge and on the structuring resources that shape mathematical experience. The study’s methodology has an interpretative nature. One outcome of the study discussed here is that students develop first a practical understanding with no awareness of the reasons founding mathematical statements and after a theoretical one leading them to a proof elaboration.

Producing an explanatory proof in a 9th grade classroom

Este artigo apresenta parte de um estudo fundamentado na problemática da demonstração na matemática escolar. Descreve o modo como quatro alunos do 9.º ano exploraram uma tarefa relacionada com a descoberta de eixos de simetria em várias figuras geométricas. A demonstração, que os mesmos construíram, teve essencialmente uma função explicativa. O papel da professora na negociação do significado de demonstração e da sua necessidade é igualmente analisado. Os alunos desenvolvem primeiro uma compreensão prática sem consciência das razões que fundamentam as afirmações matemáticas e só depois uma compreensão teórica que os conduz à construção de uma demonstração.

Caracterização da amostra portuguesa da área da saúde na Web of Science

Introdução: A produção e o uso da literatura científica são analisados, quantificados e interpretados pela bibliometria, ciência utilizada para estudos métricos da informação publicada e que estuda as questões relacionadas com a comunicação científica e a atividade científica. Objetivo: O estudo apresentado é uma análise bibliométrica da produção científica portuguesa da área da saúde indexada na Web of Science. Métodos: Analisa-se a produção referente ao período entre 1992 e final de 2011. A análise da produção científica centrou-se nas seguintes variáveis: categorias de classificação da Web of Science, tipologia de documentos indexados, títulos de revistas, distribuição por anos de publicação, afiliação institucional, idiomas, países de origem dos autores com quem foram estabelecidas relações de parceria científica e quem facultou os financiamentos à investigação científica. Resultados: Foram contabilizados 34.208 trabalhos. Destes, o artigo é a forma mais utilizada pelos autores portugueses para a divulgação dos resultados de investigação (58,5%). A década mais recente é contemplada com 75,4% dos registos. A maioria da produção com visibilidade internacional é oriunda de universidades e de centros de investigação hospitalar; institutos, laboratórios da indústria farmacêutica e universidades estrangeiras têm valores residuais. A colaboração com outros investigadores internacionais destaca-se no caso da Europa (73,2%). O financiamento da investigação científica é suportado basicamente pela Fundação para a Ciência e Tecnologia (59,5%), seguida da Comissão Europeia (17,8%). O inglês é o idioma mais usado para a divulgação dos resultados de investigação nacional na área da saúde (97,8%). Conclusões: O uso de bases de dados ou de plataformas científicas para estudos bibliométricos é um processo moroso e difícil. O total de trabalhos em análise foi sempre o mesmo mas, em algumas variáveis, os valores não coincidem, quer porque alguns dos registos foram classificados em mais do que uma categoria temática, quer pelos trabalhos multidisciplinares oriundos das mesmas instituições, quer pelos trabalhos de colaboração internacional. Também no presente estudo os artigos são o veículo privilegiado para a divulgação dos resultados científicos. Apontamento final: deve encorajar-se a utilização de outras plataformas científicas e de outras bases de dados para uma mais completa recuperação da produção científica nacional na área da saúde. Introduction: The production and the use of the scientific literature are analyzed, quantified and interpreted by bibliometry. Bibliometry is the science used in published information metric studies and studies the questions of scientific communication and the scientific production. Aim of the study: This study presents a bibliometric analysis of the indexed Web of Science Portuguese scientific production in the health field. Methods: We analyzed the production from 1992 to the end of 2011. This analysis focused in several variables: general categories areas of Web of Science, indexed document types, source titles, publication years, group/corporate authors, languages, identification of the countries with scientific partnerships and identification of the funding agencies for scientific research. Results: We found 34.208 works. From this, the article is the most common channel for disseminating the research results (58.5%). The most recent decade has 75.4% of the total of records. Most of the production with international visibility becomes from universities and hospital research centers; institutes, pharmaceutical labs or foreign universities have residual values. Collaborating with other international researchers is very common, particularly with Europe (73.2%). In general, the Fundação para a Ciência e Tecnologia supports the scientific research (59.5%), followed by the European Commission (17.8%). The language commonly used for disseminating the research results in health is the English (97.8%). Conclusions: Using databases or scientific platforms for bibliometric studies is a hard and difficult process. The total of works analyzed was always the same but, with some variables, the numbers does not coincide: a) some of the registries were classified in several categories; b) some of the multidisciplinary works were from the same institution; c) the large number of international partnership. In this study, articles are the privileged way for disseminating the scientific results. A last thought: the use of other scientific platforms and databases should be encouraged for a more complete retrieval of the national research production in health.

Caracterização da amostra portuguesa da área da saúde na Web of Science

Introdução: A produção e o uso da literatura científica são analisados, quantificados e interpretados pela bibliometria, ciência utilizada para estudos métricos da informação publicada e que estuda as questões relacionadas com a comunicação científica e a atividade científica. Objetivo: O estudo apresentado é uma análise bibliométrica da produção científica portuguesa da área da saúde indexada na Web of Science. Métodos: Analisa-se a produção referente ao período entre 1992 e final de 2011. A análise da produção científica centrou-se nas seguintes variáveis: categorias de classificação da Web of Science, tipologia de documentos indexados, títulos de revistas, distribuição por anos de publicação, afiliação institucional, idiomas, países de origem dos autores com quem foram estabelecidas relações de parceria científica e quem facultou os financiamentos à investigação científica. Resultados: Foram contabilizados 34.208 trabalhos. Destes, o artigo é a forma mais utilizada pelos autores portugueses para a divulgação dos resultados de investigação (58,5%). A década mais recente é contemplada com 75,4% dos registos. A maioria da produção com visibilidade internacional é oriunda de universidades e de centros de investigação hospitalar; institutos, laboratórios da indústria farmacêutica e universidades estrangeiras têm valores residuais. A colaboração com outros investigadores internacionais destaca-se no caso da Europa (73,2%). O financiamento da investigação científica é suportado basicamente pela Fundação para a Ciência e Tecnologia (59,5%), seguida da Comissão Europeia (17,8%). O inglês é o idioma mais usado para a divulgação dos resultados de investigação nacional na área da saúde (97,8%). Conclusões: O uso de bases de dados ou de plataformas científicas para estudos bibliométricos é um processo moroso e difícil. O total de trabalhos em análise foi sempre o mesmo mas, em algumas variáveis, os valores não coincidem, quer porque alguns dos registos foram classificados em mais do que uma categoria temática, quer pelos trabalhos multidisciplinares oriundos das mesmas instituições, quer pelos trabalhos de colaboração internacional. Também no presente estudo os artigos são o veículo privilegiado para a divulgação dos resultados científicos. Apontamento final: deve encorajar-se a utilização de outras plataformas científicas e de outras bases de dados para uma mais completa recuperação da produção científica nacional na área da saúde. Introduction: The production and the use of the scientific literature are analyzed, quantified and interpreted by bibliometry. Bibliometry is the science used in published information metric studies and studies the questions of scientific communication and the scientific production. Aim of the study: This study presents a bibliometric analysis of the indexed Web of Science Portuguese scientific production in the health field. Methods: We analyzed the production from 1992 to the end of 2011. This analysis focused in several variables: general categories areas of Web of Science, indexed document types, source titles, publication years, group/corporate authors, languages, identification of the countries with scientific partnerships and identification of the funding agencies for scientific research. Results: We found 34.208 works. From this, the article is the most common channel for disseminating the research results (58.5%). The most recent decade has 75.4% of the total of records. Most of the production with international visibility becomes from universities and hospital research centers; institutes, pharmaceutical labs or foreign universities have residual values. Collaborating with other international researchers is very common, particularly with Europe (73.2%). In general, the Fundação para a Ciência e Tecnologia supports the scientific research (59.5%), followed by the European Commission (17.8%). The language commonly used for disseminating the research results in health is the English (97.8%). Conclusions: Using databases or scientific platforms for bibliometric studies is a hard and difficult process. The total of works analyzed was always the same but, with some variables, the numbers does not coincide: a) some of the registries were classified in several categories; b) some of the multidisciplinary works were from the same institution; c) the large number of international partnership. In this study, articles are the privileged way for disseminating the scientific results. A last thought: the use of other scientific platforms and databases should be encouraged for a more complete retrieval of the national research production in health.

e-learning in the classroom?

As teachers, we are challenged everyday to solve pedagogical problems and we have to fight for our students’ attention in a media rich world. I will talk about how we use ICT in Initial Teacher Training and give you some insight on what we are doing. The most important benefit of using ICT in education is that it makes us reflect on our practice. There is no doubt that our classrooms need to be updated, but we need to be critical about every peace of hardware, software or service that we bring into them. It is not only because our budgets are short, but also because e‐learning is primarily about learning, not technology. Therefore, we need to have the knowledge and skills required to act in different situations, and choose the best tool for the job. Not all subjects are suitable for e‐learning, nor do all students have the skills to organize themselves their own study times. Also not all teachers want to spend time programming or learning about instructional design and metadata. The promised land of easy use of authoring tools (e.g. eXe and Reload) that will lead to all teachers become Learning Objects authors and share these LO in Repositories, all this failed, like previously HyperCard, Toolbook and others. We need to know a little bit of many different technologies so we can mobilize this knowledge when a situation requires it: integrate e‐learning technologies in the classroom, not a flipped classroom, just simple tools. Lecture capture, mobile phones and smartphones, pocket size camcorders, VoIP, VLE, live video broadcast, screen sharing, free services for collaborative work, save, share and sync your files. Do not feel stressed to use everything, every time. Just because we have a whiteboard does not mean we have to make it the centre of the classroom. Start from where you are, with your preferred subject and the tools you master. Them go slowly and try some new tool in a non‐formal situation and with just one or two students. And you don’t need to be alone: subscribe a mailing list and share your thoughts with other teachers in a dedicated forum, even better if both are part of a community of practice, and share resources. We did that for music teachers and it was a success, in two years arriving at 1.000 members. Just do it.

A checkpointing-enabled and resource-aware Java Virtual Machine for efficient and robust e-Science applications in grid environments

Object-oriented programming languages presently are the dominant paradigm of application development (e. g., Java,. NET). Lately, increasingly more Java applications have long (or very long) execution times and manipulate large amounts of data/information, gaining relevance in fields related with e-Science (with Grid and Cloud computing). Significant examples include Chemistry, Computational Biology and Bio-informatics, with many available Java-based APIs (e. g., Neobio). Often, when the execution of such an application is terminated abruptly because of a failure (regardless of the cause being a hardware of software fault, lack of available resources, etc.), all of its work already performed is simply lost, and when the application is later re-initiated, it has to restart all its work from scratch, wasting resources and time, while also being prone to another failure and may delay its completion with no deadline guarantees. Our proposed solution to address these issues is through incorporating mechanisms for checkpointing and migration in a JVM. These make applications more robust and flexible by being able to move to other nodes, without any intervention from the programmer. This article provides a solution to Java applications with long execution times, by extending a JVM (Jikes research virtual machine) with such mechanisms. Copyright (C) 2011 John Wiley & Sons, Ltd.

A utilização da plataforma Educast@fccn, como ferramenta de gravação de aulas no ambiente de e-learning português

Dissertação apresentada à Escola Superior de Comunicação Social como parte dos requisitos para obtenção de grau de mestre em Audiovisual e Multimédia.

Argumentos para uma humanização do ensino das ciências

Identificando a rutura no desenvolvimento da ciência entre o contexto de descoberta e o contexto de justificação, julgamos poder entender melhor a dominação do ensino transmissivo da ciência em contexto escolar e melhor argumentar para a sua superação. Por outro lado, o argumento que aqui defendemos para recuperar, para o contexto de sala de aula, a fortíssima chama cultural que a ciência transporta nos seus conceitos, leis e teorias, bem como no seu próprio processo de desenvolvimento, tem uma tradição enraizada na cultura portuguesa que exploramos.

BIT: Biosignal Igniter Toolkit

The study of biosignals has had a transforming role in multiple aspects of our society, which go well beyond the health sciences domains to which they were traditionally associated with. While biomedical engineering is a classical discipline where the topic is amply covered, today biosignals are a matter of interest for students, researchers and hobbyists in areas including computer science, informatics, electrical engineering, among others. Regardless of the context, the use of biosignals in experimental activities and practical projects is heavily bounded by the cost, and limited access to adequate support materials. In this paper we present an accessible, albeit versatile toolkit, composed of low-cost hardware and software, which was created to reinforce the engagement of different people in the field of biosignals. The hardware consists of a modular wireless biosignal acquisition system that can be used to support classroom activities, interface with other devices, or perform rapid prototyping of end-user applications. The software comprehends a set of programming APIs, a biosignal processing toolbox, and a framework for real time data acquisition and postprocessing. (C) 2014 Elsevier Ireland Ltd. All rights reserved.

How short and light can a simple pendulum be for classroom use?

We compare the period of oscillation of an ideal simple pendulum with the period of a more 'real' pendulum constituted of a rigid sphere and a rigid slender rod. We determine the relative error in the calculation of the local acceleration of gravity if the period of the ideal pendulum is use?d instead of the period of this real pendulum. © 2014 IOP Publishing Ltd..

Compreensão de modelos didáticos pelos alunos do 5.º ano de escolaridade em ciências naturais

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

Educating for earthquake science and risk in a tectonically slowly deforming region

Over the past decade, scientists have been called to participate more actively in public education and outreach (E&O). This is particularly true in fields of significant societal impact, such as earthquake science. Local earthquake risk culture plays a role in the way that the public engages in educational efforts. In this article, we describe an adapted E&O program for earthquake science and risk. The program is tailored for a region of slow tectonic deformation, where large earthquakes are extreme events that occur with long return periods. The adapted program has two main goals: (1) to increase the awareness and preparedness of the population to earthquake and related risks (tsunami, liquefaction, fires, etc.), and (2) to increase the quality of earthquake science education, so as to attract talented students to geosciences. Our integrated program relies on activities tuned for different population groups who have different interests and abilities, namely young children, teenagers, young adults, and professionals.

A teaching-learning sequence of colour informed by history and philosophy of science

In this work, we present a teaching-learning sequence on colour intended to a pre-service elementary teacher programme informed by History and Philosophy of Science. Working in a socio-constructivist framework, we made an excursion on the history of colour. Our excursion through history of colour, as well as the reported misconception on colour helps us to inform the constructions of the teaching-learning sequence. We apply a questionnaire both before and after each of the two cycles of action-research in order to assess students’ knowledge evolution on colour and to evaluate our teaching-learning sequence. Finally, we present a discussion on the persistence of deep-rooted alternative conceptions.

A didactic sequence of elementary geometric optics Informed by history and philosophy of science

The concepts and instruments required for the teaching and learning of geometric optics are introduced in the didactic processwithout a proper didactic transposition. This claim is secured by the ample evidence of both wide- and deep-rooted alternative concepts on the topic. Didactic transposition is a theory that comes from a reflection on the teaching and learning process in mathematics but has been used in other disciplinary fields. It will be used in this work in order to clear up the main obstacles in the teachinglearning process of geometric optics. We proceed to argue that since Newton’s approach to optics, in his Book I of Opticks, is independent of the corpuscular or undulatory nature of light, it is the most suitable for a constructivist learning environment. However, Newton’s theory must be subject to a proper didactic transposition to help overcome the referred alternative concepts. Then is described our didactic transposition in order to create knowledge to be taught using a dialogical process between students’ previous knowledge, history of optics and the desired outcomes on geometrical optics in an elementary pre-service teacher training course. Finally, we use the scheme-facet structure of knowledge both to analyse and discuss our results as well as to illuminate shortcomings that must be addressed in our next stage of the inquiry.