811 resultados para Mathematics teaching courses
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Nowadays, with the use of technology and the Internet, education is undergoing significant changes, contemplating new ways of teaching and learning. One of the widely methods of teaching used to promote knowledge, consists in the use of virtual environments available in various formats, taking as example the teaching-learning platforms, which are available online. The Internet access and use of Laptops have created the technological conditions for teachers and students can benefit from the diversity of online information, communication, collaboration and sharing with others. The integration of Internet services in the teaching practices can provide thematic, social and digital enrichment for the agents involved. In this paper we will talk about the advantages of LMS (Learning Management Systems) such as Moodle, to support the presential lectures in higher education. We also will analyse its implications for student support and online interaction, leading educational agents to a mixing of different learning environments, where they can combine face-to-face instruction with computer-mediated instruction, blended-learning, and increases the options for better quality and quantity of human interaction in a learning environment. We also will present some tools traditionally used in online assessment and that are part of the functionalities of Moodle. These tools can provide interesting alternatives to promote a more significant learning and contribute to the development of flexible and customized models of an evaluation which we want to be more efficient.
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In this paper we will talk about a math project submitted to the Lifelong Learning Programme. European higher education needs a reform in order to play its full role in the Europe of Knowledge. Modernisation of higher education is necessary in the areas of curricula (Bologna process), funding and governance so that higher education institutions can face the challenges posed by globalisation and contribute more effectively to the training and retraining of the European workforce. On the other hand Mathematics is an essential component of all educational systems. Mathematical literacy is being scrutinized in assessment efforts such as the OCDE Programme for International Student Assessment (PISA). This showed a low level in Europe. Due to the Bologna Process, which brought several didactical implications for Higher Education (HE) institutions, there is the need of lifelong learning. This evolution is in conflict with the earlier mentioned lack of competencies on basic sciences, such as Mathematics. Forced by this duality, efforts are combined to share expertise in the Math field and the integration of pedagogical methodologies becomes a necessity. Thus, several European countries have proposed an International Project to the Lifelong Learning Programme, Action ERASMUS Modernisation of Higher Education, to make institutions more attractive and more responsive to the needs of the labour market, citizens and society at large. One of the main goals of the project is to attract students to math through high-quality instructional units in an understandable, exciting and attractive way.
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Multiple-Choice items are used in many different kinds of tests in several areas of knowledge. They can be considered an interesting tool to the self-assessing or as an alternative or complementary instrument to the traditional methods for assessing knowledge. The objectivity and accuracy of the multiple-choice tests is an important reason to think about. They are especially useful when the number of students to evaluate is too large. Moodle (Modular Object-Oriented Dynamic Learning Environment) is an Open Source course management system centered around learners' needs and designed to support collaborative approaches to teaching and learning. Moodle offers to the users a rich interface, context-specific help buttons, and a wide variety of tools such as discussion forums, wikis, chat, surveys, quizzes, glossaries, journals, grade books and more, that allow them to learn and collaborate in a truly interactive space. Come together the interactivity of the Moodle platform and the objectivity of this kind of tests one can easily build manifold random tests. The proposal of this paper is to relate our journey in the construction of these tests and share our experience in the use of the Moodle platform to create, take advantage and improve the multiple-choices tests in the Mathematic area.
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The purpose of this paper is to analyse if Multiple-Choice Tests may be considered an interesting alternative for assessing knowledge, particularly in the Mathematics area, as opposed to the traditional methods, such as open questions exams. In this sense we illustrate some opinions of the researchers in this area. Often the perception of the people about the construction of this kind of exams is that they are easy to create. But it is not true! Construct well written tests it’s a hard work and needs writing ability from the teachers. Our proposal is analyse the construction difficulties of multiple - choice tests as well some advantages and limitations of this type of tests. We also show the frequent critics and worries, since the beginning of this objective format usage. Finally in this context some examples of Multiple-Choice Items in the Mathematics area are given, and we illustrate as how we can take advantage and improve this kind of tests.
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In an attempt to build a more comprehensive and holistic understanding of the complexity, dynamics and idiosyncrasies involved in becoming a teacher, this study focussed on the experiences of 295 student teachers. Their feelings, cognitions and perceptions regarding teaching practice were analysed using the short version of the Inventory of Experiences and Perceptions of the Teaching Practice. Results emphasise some of the difficulties experienced during this period (e.g., stress, sense of weariness and ‘vulnerability’), as well the positive perceptions of these student teachers regarding their growing knowledge and skilfulness, as well as their sense of efficacy, flexibility and spontaneity in their performance and interactions. Their perception of their accomplishments in achieving reasonable levels of acceptance and recognition within the school community and their positive evaluation of the guidance and support provided by their supervisors are also emphasised. Differences were found – in terms of gender and graduate course background – in the way these student teachers experienced some aspects of teaching practice.
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Conferência anual da ISME
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ISME, Thessaloniki, 2012
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O papel crucial da escola na sociedade e o exercício da atividade profissional como docente, com um olhar atento sobre o traçar das políticas educativas, motivou a elaboração deste trabalho de investigação, que tem como objeto de estudo os papéis desempenhados pelos diretores das escolas estatais e não estatais e como objetivos específicos estudar o impacto da legislação emanada pela tutela, nas escolas públicas e privadas e analisar as convergências e divergências nas conceções e práticas dos seus diretores. As dimensões analíticas exploradas no estudo abrangem as conceções gestionárias dos diretores quanto aos modelos de gestão, às práticas de autonomia, ao serviço educativo e à prestação de contas. Este trabalho de natureza qualitativa foca o olhar sobre um grupo restrito de atores educativos que foram escolhidos devido ao papel que desempenham na organização educativa e porque a publicação do Decreto- Lei 75/ 2008 de 22 de abril, trouxe alterações à escola pública. A tradição de direção colegial que vigorava nas organizações educativas estatais foi quebrada. O presidente do conselho diretivo é doravante substituído pelo diretor que passa a delegar competências, a designar equipas e a prestar contas à tutela e comunidade educativa à semelhança do diretor da escola privada. O estudo de caso apresentado foi realizado em três escolas públicas e em três colégios privados com recurso a entrevistas semiestruturadas e à análise documental. As conclusões deste trabalho remetem para a existência de muitos pontos de convergência entre a opinião dos diretores da escola pública e privada. As temáticas relativas à autonomia, escolha do pessoal docente e prestação de contas, são olhadas pela mesma perspetiva. A autonomia é vista como “uma miragem”; uma “terra prometida” (Lima e Afonso, 1995). A prestação de contas é exigida aos diretores do ensino estatal e do privado através de instrumentos próximos. As principais divergências situam-se ao nível do menor interesse demonstrado, por parte da direção da escola privada, pela oferta de cursos profissionais e pelo menor investimento em estratégias para a prevenção do abandono escolar, que é considerado pouco significativo na escola não estatal. A defesa da escolha de escola e da modalidade de cheque ensino são outros dos pontos que marcam a divergência entre estes diretores. Abstract: This investigative paper - whose objective is the study of the role of the school directors, both State and non-state, and the impact of legislation on both State and private schools, as well as the analysis of the convergent and divergent conceptions and practices of these directors – is motivated by the crucial role played by schools in our society and by the professional activity of the teacher, with an attentive look at the educational practices. The analytical dimension explored in this study includes the various concepts of management of the school director as models of management, as well as practices in self-sufficiency, budget control and educational service to the community. This study has a qualitative nature and focuses on a small group of individuals who were chosen for the role they play in the whole educational structure, considering that the Decree nº 75/2008, published on April the 22nd, determined alterations to the public school system. The traditional method of control of the public school system has, henceforth, been changed. The headmaster is now substituted by a director who delegates his functions, makes up work teams and elaborates the school budget which is presented to the respective governmental ministry and the community, much like as what happens in private schools. The present study encompasses three public schools and three private schools, the methods of study being semi-structured interviews as well as the consultation of documentation. The conclusions point to many convergent opinions of the school directors of both the public and the private sector. The school directors of both public and private schools used in this study share the same opinion as to the factors involved in the selection of teachers, the elaboration of the school budget and the implementation of self-sufficiency policies. These self-sufficiency policies are seen as a “mirage” or a “promised land” (Lima and Afonso, 1995). The school budget and its management practices are implemented in both public and private schools through similar instruments. The principal differences are noted on smaller, less interesting points, on the part of the direction of the private schools, and result from the elaboration of professional courses and minor investment in the strategies, oriented to the prevention of school drop-outs, which is considered of little significance in the private school sector. The other factors of divergence result from the right to choose the type of school desired and the type of teaching implemented.
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Com as várias reformulações do processo de avaliação de desempenho docente (ADD), passou-se de um processo de avaliação dos professores assente na autoavaliação do docente, para um sistema de heteroavaliação que visa a prestação de contas e a seleção, mas também a melhoria de práticas e o desenvolvimento profissional, através do acompanhamento supervisivo. No entanto, a conciliação entre estas duas perspetivas não é fácil e tem gerado perplexidades e inquietações entre os avaliadores e entre os avaliados. Com este estudo, pretendemos conhecer a perspetiva de avaliadores e avaliados sobre o papel que a Supervisão detém no processo de avaliação de desempenho do professor e o seu contributo para o desenvolvimento profissional do professor e melhoria das práticas. Assim desenhou-se um plano de estudo qualitativo, exploratório e descritivo procurando captar o ponto de vista dos principais intervenientes no processo. O principal meio de recolha de dados foi a entrevista semiestruturada a 4 professores avaliadores e 4 professores avaliados do Departamento de Matemática e Ciências Experimentais de um Agrupamento de Escolas. Os resultados mostram que os docentes discordam do modelo de ADD, mas que o processo vivenciado teve caraterísticas positivas, dando os avaliadores especial relevância à oportunidade de conhecer outros processos de trabalho, a partir da observação de aulas. Avaliadores e avaliados referem ainda o bom relacionamento estabelecido entre ambos, contradizendo as preocupações expressas quando se pronunciaram sobre os problemas do modelo de avaliação. No entanto, ambos os subgrupos focam a falta de formação e qualificação profissional dos avaliadores. Em termos gerais, é possível concluir que a maior parte das dificuldades atribuídas pelos docentes ao modelo de ADD não foi depois sentida na implementação prática. Por outro lado, na opinião dos docentes, o processo experienciado não teve verdadeiro impacto na melhoria das práticas ou no desenvolvimento profissional dos docentes envolvidos. - Abstract The several reformulations of the process of the teacher performance evaluation made the process of evaluating teachers, which was first based on a self-evaluation change into a straight assessment system, which aims not only accountability and selection, but also the improvement of the practice and professional development through the supervision of the teaching practice. However, the conciliation between these perspectives has not been easy and has generated anxieties and perplexities among evaluators and evaluated. With this study we intend to know the perspective of the evaluators and of the evaluated concerning the role supervision has hold in the process of evaluating a teacher’s performance and its contribution to the professional development of the teacher and to the improvement of his practices. Thus, a qualitative, exploratory and descriptive study plan was drawn to get to know the viewpoint of the intervening ones in the process. The main means for data collection was based on a semi structured interview, targeting 4 teacher evaluators and 4 evaluated teachers of the Experimental Sciences and Mathematics Department of a group of Schools. The results show that teachers disagree with the teacher’s evaluation model, but the experienced process had positive characteristics. Besides, evaluators have given special relevance to the opportunity of getting to know other working methods thanks to the lessons’ observations. Evaluators and evaluated also refer the good relationship between both parts contradicting the fears they had when they first pronounced themselves about this evaluation model. However, both subgroups focus the lack of training and professional qualifications of the evaluators. So it’s possible to conclude that most worries mentioned by the teachers when referring to this model of teacher performance evaluation were not verified during its practical implementation. On the other hand, in the opinion of the involved teachers, the experienced process had no real impact on their practice improvement or on their professional development.
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O estudo insere-se no âmbito da educação matemática, mais especificamente na área da geometria. Com esta investigação pretende-se compreender qual o contributo do Ambiente de Geometria Dinâmica (AGD), GeoGebra, e do material manipulável (geoplano) na identificação das propriedades e relações entre quadriláteros: trapézio, paralelogramo, retângulo, losango e quadrado. De acordo com o objetivo do estudo formularam-se três questões: Qual o papel das representações na identificação das propriedades dos quadriláteros? Que influência tem a visualização na identificação das propriedades dos quadriláteros? Quais os contributos da utilização do AGD, GeoGebra, e do material manipulável (geoplano) na compreensão das propriedades e relações entre os quadriláteros? Atendendo à problemática em estudo, optou-se por uma metodologia de investigação predominantemente qualitativa, baseada em três estudos de caso. A recolha de dados empíricos foi realizada numa turma de 4.º ano do 1.º ciclo do ensino básico onde se implementou uma experiência de ensino, envolvendo todos os alunos e recorrendo ao geoplano e ao GeoGebra. Essa recolha incidiu na observação participante, em sala de aula, no registo de notas da investigadora, nos documentos produzidos pelos alunos e nos registos áudio e vídeo das discussões nos grupos e no coletivo da turma. Em termos de resultados, salienta-se que a utilização de representações evidenciou a compreensão que os alunos têm dos conceitos, facilitou a identificação das propriedades dos quadriláteros e a compreensão das relações entre eles. Os alunos identificaram as propriedades com base nas representações, no entanto focaram-se em casos particulares, de acordo com a imagem mental que têm da figura, especificamente o protótipo, indiciando a influência da visualização. Dos resultados sobressai também a dificuldade que os alunos sentiram em considerar uma figura como representante de uma classe e em distinguir atributos essenciais e não essenciais. Da análise dos dados ressalta também que tanto o geoplano como o GeoGebra foram uma mais-valia na concretização da experiência de ensino deste estudo. Os dois possuem vantagens e limitações e podem ser usados de maneira que um complemente o outro, podendo dessa forma contribuir, favoravelmente, para a aprendizagem da geometria. - ABSTRACT The study falls within the scope of mathematics education, specifically in the area of geometry. This research aims to understand the contribution of the Dynamic Geometry Environment (GeoGebra) and manipulative material (Geoboard) in the identification of properties and relations of quadrilaterals: trapezium, parallelogram, rectangle, diamond and square. According to the purpose of the study three questions were formulated: What is the role of the representations in the identification of the properties of quadrilaterals? What is the influence of visualization on the identification of the properties of quadrilaterals? What are the contributions on the use of Dynamic Geometry Environment (GeoGebra) and manipulative material (Geoboard) to understand the properties and relationships among quadrilaterals? Given the problem under study, it was chosen a predominantly qualitative research methodology based on three case studies. The empirical data collection was carried out on a fourth primary grade class, where it was implemented a teaching experience, involving all students and the use of Geoboard and GeoGebra. This collection was focused on participant observation in the classroom, in the record of the researcher’s notes, the documents produced by the students and the audio and video recordings of group discussions and collective class. In terms of results, it is noted that the use of representations showed the students understanding of the concepts and that it has facilitated the identification of the properties of quadrilaterals and understanding of the relationships between them. The students identified properties based on representations, however they focused in particular cases, according to the mental image that they have of the figure, specifically the prototype, indicating the influence of visualization. Results also highlights the difficulty that students felt in considering a figure as a representation of a group and distinguishing essential and nonessential attributes. Data analysis also highlights that both Geoboard and GeoGebra have been an asset in the delivery of teaching experience in this study. Both have advantages and limitations and they may be used to complement each other and contribute favorably to the learning of geometry.
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Dissertação apresentada à Escola Superior de Educação de Lisboa no âmbito do Mestrado em Ensino Especial
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Dissertação apresentada à Escola Superior de Educação de Lisboa Para a obtenção do Grau de Mestre em Ciências da Educação - Especialidade Supervisão em Educação
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Electrical activity is extremely broad and distinct, requiring by one hand, a deep knowledge on rules, regulations, materials, equipments, technical solutions and technologies and assistance in several areas, as electrical equipment, telecommunications, security and efficiency and rational use of energy, on the other hand, also requires other skills, depending on the specific projects to be implemented, being this knowledge a characteristic that belongs to the professionals with relevant experience, in terms of complexity and specific projects that were made.
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The Information and Communication Technology (ICT) provide new strategies for disseminating information and new communication models in order to change attitudes and human behaviour concerning to education. Nowadays the internet is crucial as a means of communication and information sharing. To education or tutorship will be required to use ICT, supported on the internet, to establish the communication of teacher-student and student-student, disseminating the content of the subjects, and as a way of teaching and learning process. This paper presents an intelligent tutor that aims to be a tool to support teaching and learning in the field of the electrical engineering project.
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The aim of this paper is to present an adaptation model for an Adaptive Educational Hypermedia System, PCMAT. The adaptation of the application is based on progressive self-assessment (exercises, tasks, and so on) and applies the constructivist learning theory and the learning styles theory. Our objective is the creation of a better, more adequate adaptation model that takes into account the complexities of different users.