Otras clases de Mates ... other Maths lessons.

Resumen basado en la publicación

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.

100 maths framework lessons : Year 1 : Scottish primary 2.

Recurso que ayuda a los profesores a vincular sus conocimientos a los aspectos clave del aprendizaje y del currículo. Está estructurado en cinco bloques que forman el marco principal renovado para Matemáticas. Cada uno de ellos consta de tres unidades que cubren un texto diferente dentro del bloque. Las unidades se enseñan en un número determinado de semanas que, a su vez, se dividen en días o lecciones. Una de las características principales del recurso es la flexibilidad de su estructura que permitirá a los profesores adaptarse a las necesidades de cada niño. Cuenta con un CD-ROM que incluye recursos multimedia como vídeo, audio, imágenes, actividades interactivas y páginas fotocopiables.

100 maths framework lessons : Year 2 : Scottish primary 3.

Recurso que ayuda a los profesores a vincular sus conocimientos a los aspectos clave del aprendizaje y del currículo. Está estructurado en cinco bloques que forman el marco principal renovado para Matemáticas. Cada uno de ellos consta de tres unidades que cubren un texto diferente dentro del bloque. Las unidades se enseñan en un número determinado de semanas que, a su vez, se dividen en días o lecciones. Una de las características principales del recurso es la flexibilidad de su estructura que permitirá a los profesores adaptarse a las necesidades de cada niño. Cuenta con un CD-ROM que incluye recursos multimedia como vídeo, audio, imágenes, actividades interactivas y páginas fotocopiables.

100 maths framework lessons : Year 3 : Scottish primary 4.

Recurso que ayuda a los profesores a vincular sus conocimientos a los aspectos clave del aprendizaje y del currículo. Está estructurado en cinco bloques que forman el marco principal renovado para Matemáticas. Cada uno de ellos consta de tres unidades que cubren un texto diferente dentro del bloque. Las unidades se enseñan en un número determinado de semanas que, a su vez, se dividen en días o lecciones. Una de las características principales del recurso es la flexibilidad de su estructura que permitirá a los profesores adaptarse a las necesidades de cada niño. Cuenta con un CD-ROM que incluye recursos multimedia como vídeo, audio, imágenes, actividades interactivas y páginas fotocopiables.

100 maths framework lessons : Year 4 : Scottish primary 5.

Recurso que ayuda a los profesores a vincular sus conocimientos a los aspectos clave del aprendizaje y del currículo. Está estructurado en cinco bloques que forman el marco principal renovado para Matemáticas. Cada uno de ellos consta de tres unidades que cubren un texto diferente dentro del bloque. Las unidades se enseñan en un número determinado de semanas que, a su vez, se dividen en días o lecciones. Una de las características principales del recurso es la flexibilidad de su estructura que permitirá a los profesores adaptarse a las necesidades de cada niño. Cuenta con un CD-ROM que incluye recursos multimedia como vídeo, audio, imágenes, actividades interactivas y páginas fotocopiables.

100 maths framework lessons : Year 5 : Scottish primary 6.

Recurso que ayuda a los profesores a vincular sus conocimientos a los aspectos clave del aprendizaje y del currículo. Está estructurado en cinco bloques que forman el marco principal renovado para Matemáticas. Cada uno de ellos consta de tres unidades que cubren un texto diferente dentro del bloque. Las unidades se enseñan en un número determinado de semanas que, a su vez, se dividen en días o lecciones. Una de las características principales del recurso es la flexibilidad de su estructura que permitirá a los profesores adaptarse a las necesidades de cada niño. Cuenta con un CD-ROM que incluye recursos multimedia como vídeo, audio, imágenes, actividades interactivas y páginas fotocopiables.

100 maths framework lessons : Year 6 : Scottish primary 7.

Recurso que ayuda a los profesores a vincular sus conocimientos a los aspectos clave del aprendizaje y del currículo. Está estructurado en cinco bloques que forman el marco principal renovado para Matemáticas. Cada uno de ellos consta de tres unidades que cubren un texto diferente dentro del bloque. Las unidades se enseñan en un número determinado de semanas que, a su vez, se dividen en días o lecciones. Una de las características principales del recurso es la flexibilidad de su estructura que permitirá a los profesores adaptarse a las necesidades de cada niño. Cuenta con un CD-ROM que incluye recursos multimedia como vídeo, audio, imágenes, actividades interactivas y páginas fotocopiables.

Rebuild Iowa Office - Disaster Recovery Lessons Learned

Lessons Learned and Best Practices is a Rebuild Iowa Office initiative that identifies innovative ideas as well as opportunities for improvement to be shared with our federal, state and local partners. It is designed to provide recovery providers and planners with information and front-line expertise on effective planning, execution and operational practices across the recovery spectrum.

Application execution management on the InteGrade opportunistic grid middleware

The InteGrade project is a multi-university effort to build a novel grid computing middleware based on the opportunistic use of resources belonging to user workstations. The InteGrade middleware currently enables the execution of sequential, bag-of-tasks, and parallel applications that follow the BSP or the MPI programming models. This article presents the lessons learned over the last five years of the InteGrade development and describes the solutions achieved concerning the support for robust application execution. The contributions cover the related fields of application scheduling, execution management, and fault tolerance. We present our solutions, describing their implementation principles and evaluation through the analysis of several experimental results. (C) 2010 Elsevier Inc. All rights reserved.

The European Parliament and the Future of Comitology after Lisbon: Lessons to be drawn from the Regulatory Procedure with Scrutiny for Delegated Acts

The history of comitology – the system of implementation committees that control the Commission in the execution of delegated powers – has been characterised by institutional tensions. The crux of these tensions has often been the role of the European Parliament and its quest to be granted powers equal to those of the Council. Over time this tension has been resolved through a series of inter-institutional agreements and Comitology Decisions, essentially giving the Parliament incremental increases in power. This process came to a head with the 2006 Comitology reform and the introduction of the regulatory procedure with scrutiny (RPS). After just over three years of experience with the RPS procedure, and having revised the entire acquis communautaire, the Treaty of Lisbon made has made it redundant through the creation of Delegated Acts (Article 290 TFEU), which gives the Parliament equal rights of oversight. This article aims to evaluate the practical implications that Delegated Acts will entail for the Parliament, principally by using the four years of experience with the RPS to better understand the challenges ahead. This analysis will be of interest to those following the study of comitology, formal and informal interinstitutional relations, and also to practitioners who will have to work with Delegated Acts in the future.

Lessons from the Terra Preta de Índios of the Amazon region for the utilisation of charcoal for soil amendment

The potential of charcoal and of partially combusted organic waste to mimic the soil organic matter of the Terras Pretas de Índios (Amazonian Dark Earths) from the Amazon Region is discussed. These materials serve as soil conditioners and as sequesterers of carbon in recalcitrant and in reactive forms. Studies carried out by Brazilian and by international groups have contributed to the emergence of an awareness of the compositions and of the uses of these materials. In this contribution we report on chemical studies that are leading to the development of a scientific and technological awareness, and of innovations that will have value in finding novel uses in applications to soil of chars from organic wastes such as those from the biofuel industry, and from metallurgical and various coal plant residues.

The AdapLib Library for Execution of Adaptive Devices: Architecture and Use

In this paper it is presented the theoretical background, the architecture (using the ""4+1"" model), and the use of the library for execution of adaptive devices, AdapLib. This library was created seeking to be accurate to the adaptive devices theory, and to allow its easy extension considering the specific details of solutions that employ this kind of device. As an example, it is presented a case study in which the library was used to create a proof of concept to monitor and diagnose problems in an online news portal.

The interaction between technologies and society: Lessons learnt from 160 evolutionary years of online news services

In mapping the evolutionary process of online news and the socio-cultural factors determining this development, this paper has a dual purpose. First, in reworking the definition of “online communication”, it argues that despite its seemingly sudden emergence in the 1990s, the history of online news started right in the early days of the telegraphs and spread throughout the development of the telephone and the fax machine before becoming computer-based in the 1980s and Web-based in the 1990s. Second, merging macro-perspectives on the dynamic of media evolution by DeFleur and Ball-Rokeach (1989) and Winston (1998), the paper consolidates a critical point for thinking about new media development: that something technically feasible does not always mean that it will be socially accepted and/or demanded. From a producer-centric perspective, the birth and development of pre-Web online news forms have been more or less generated by the traditional media’s sometimes excessive hype about the power of new technologies. However, placing such an emphasis on technological potentials at the expense of their social conditions not only can be misleading but also can be detrimental to the development of new media, including the potential of today’s online news.

Leadership in the Asian Century: Lessons from GLOBE

In this paper, based on the results of the Global Leadership and Organizational Behavior Effectiveness (GLOBE) 61-nation study of culture and leadership, we present findings related to three ‘clusters’ of countries. These clusters are: (1) the ‘Anglo culture’ cluster (Australia, Canada, Ireland, New Zealand, white South Africa, UK, and USA), the ‘Southern Asia’ cluster (Iran, India, Thailand, Malaysia, Indonesia, and the Philippines), and the ‘Confucian Asia’ cluster (China, Hong Kong, Japan, Singapore, South Korea, and Taiwan). Data from the GLOBE study, reporting middle managers’ perceptions of societal practices and values, and of the factors that facilitate and inhibit effective leadership will be compared across the three clusters. Results demonstrate that, despite differences in cultures, especially cultural values, perceptions of effective leadership vary substantially only in respect of the extent that participation is seen to facilitate leadership. In the Anglo cluster, participative leadership is seen as much more facilitative of leadership, than in either of the Asian clusters. Results are discussed in terms of effective leadership styles suitable for management in the twenty-first century, where Asian economies are likely to play a more dominant role than they have in recent history.