As representações externas - na resolução de problemas matemáticos no 2º e 3º anos do ensino básico

Relatório de estágio para obtenção de grau de mestre em Educação pré-escolar e Ensino do 1º ciclo do ensino básico

It’s about bits of machines & stuff:why girls don’t ‘do’ engineering

This paper draws upon part of the findings of an ethnographic study in which two seventeen year old girls were employed to interview their peer about engineering as a study and career choice. It argues that whilst girls do view engineering as being generally masculine in nature, other factors such as a lack of female role models and an emphasis on physics and maths act as barriers to young women entering the discipline. The paper concludes by noting that engineering has much to offer young women, the problem is, they simply don’t know this is the case!

Laboratory focussed learning of core electronic engineering concepts in the first year of an honours degree programme

In common with most universities teaching electronic engineering in the UK, Aston University has seen a shift in the profile of its incoming students in recent years. The educational background of students has moved away from traditional Alevel maths and science and if anything this variation is set to increase with the introduction of engineering diplomas. Another major change to the circumstances of undergraduate students relates to the introduction of tuition fees in 1998 which has resulted in an increased likelihood of them working during term time. This may have resulted in students tending to concentrate on elements of the course that directly provide marks contributing to the degree classification. In the light of these factors a root and branch rethink of the electronic engineering degree programme structures at Aston was required. The factors taken into account during the course revision were:. Changes to the qualifications of incoming students. Changes to the background and experience of incoming students. Increase in overseas students, some with very limited practical experience. Student focus on work directly leading to marks. Modular compartmentalisation of knowledge. The need for provision of continuous feedback on performance We discuss these issues with specific reference to a 40 credit first year electronic engineering course and detail the new course structure and evaluate the effectiveness of the changes. The new approach appears to have been successful both educationally and with regards to student satisfaction. The first cohort of students from the new course will graduate in 2010 and results from student surveys relating particularly to project and design work will be presented at the conference. © 2009 K Sugden, D J Webb and R P Reeves.

Investigating practitioner self-efficacy in an era of mathematical reform

The purpose of this study is to explore teacher self-efficacy at a time of radical mathematical reform. Project Maths – the new initiative which was rolled out nationwide in 2010 differs from previous attempts at innovation in that it targets a much closer connection between curriculum and pedagogy. Gone are the days of well-rehearsed routines where the role of the mathematician was essentially that of demonstrator. Teaching for understanding is now the main ‘official’ pedagogical focus, with emphasis on the practitioner playing the part of mediator between subject-matter and student. Mathematical instruction is not merely concerned with the transmission of knowledge and skills which is a particular pedagogical position to take. It is also an emotional practice (Hargreaves, 1998) that colours and expresses the feelings and actions of practitioners. While emotion plays a key role in teachers’ commitment to curricular reform, it is also shaped by the social and cultural contexts of mathematical change, alongside with the attitudes and beliefs of the mathematical teaching community. Inspired by Bandura’s theory of learning (1986), this investigation aims to shed light on the complex interplay between so-called mastery and vicarious experiences, social persuasion and physiological states. Vygotsky’s view of learning (1978) as a socio-cultural process is also drawn upon, as it provides a useful structure against which teacher self-efficacy and professional development can be examined. Finally, Hiebert’s theory (1986) is used to examine mathematics teaching self-efficacy and mathematics self-efficacy.

Correlation between anxiety and academic self-concept in interpreter trainees

This paper focuses on two basic issues: the anxiety-generating nature of the interpreting task and the relevance of interpreter trainees’ academic self-concept. The first has already been acknowledged, although not extensively researched, in several papers, and the second has only been mentioned briefly in interpreting literature. This study seeks to examine the relationship between the anxiety and academic self-concept constructs among interpreter trainees. An adapted version of the Foreign Language Anxiety Scale (Horwitz et al., 1986), the Academic Autoconcept Scale (Schmidt, Messoulam & Molina, 2008) and a background information questionnaire were used to collect data. Students’ t-Test analysis results indicated that female students reported experiencing significantly higher levels of anxiety than male students. No significant gender difference in self-concept levels was found. Correlation analysis results suggested, on the one hand, that younger would-be interpreters suffered from higher anxiety levels and students with higher marks tended to have lower anxiety levels; and, on the other hand, that younger students had lower self-concept levels and higher-ability students held higher self-concept levels. In addition, the results revealed that students with higher anxiety levels tended to have lower self-concept levels. Based on these findings, recommendations for interpreting pedagogy are discussed.

Statistical software usage by student and consultant statisticians in the UK - A comparative study

Abstract not available

Jisc CAN case study: Student Digital Ambassadors for Digital Literacy at London School of Economics

Student Digital Ambassadors for Digital Literacy at London School of Economics case study. Student Ambassadors for Digital Literacy (SADL) is a programme coordinated by Learning Technology and Innovation and LSE Library and open to LSE undergraduate students. It has been running since 2013, when it started as a pilot in two academic departments. LSE is a specialist social science institution, research led with a relatively small undergraduate population (approximately 4500 students). Students study across the social sciences in quantitative subjects such as economics, maths and statistics, and qualitative subjects such as social policy, international history and anthropology. The student population is highly international and LSE has an excellent rating for graduate employment. LSE Students Union offer support and promote SADL which aims to develop students digital literacies, but provides an opportunity to understand more about what their needs might be.

As representações externas - na resolução de problemas matemáticos no 2º e 3º anos do ensino básico

Relatório de estágio para obtenção de grau de mestre em Educação pré-escolar e Ensino do 1º ciclo do ensino básico

Demonstração de fórmulas matemáticas no ensino médio

The objective of this study is to analyze the validity of working with proofs in the classroom and to present a partial list of proofs of mathematical formulae of the Brazilian secondary/high school curriculum. The adaptation of the proofs into the knowledge and abilities of a secondary school student should also be considered. How the teaching of proofs is treated in official publications in Brazil and other countries is also described. Working with proofs provides a number of benefits to the students, including: the development of logical reasoning, argumentative capacity, analytical skills on a daily basis, as well as motivation and a better understanding of mathematics as a science. The convenience of including the teaching of proofs in Brazilian secondary school curriculum and the need of a balance between the abstraction of proofs and contextualization of the school programmes is discussed. The approach of the proof teaching in the classroom can become a motivating factor or, conversely, a discouraging one. The conclusion is that it would be very useful to create a reference list covering the mathematical expressions of school programmes with their respective proofs that can be understood by secondary school students.

Feeding students’ creativity with language arts: a project developed at ESEV (2013-15)

Children live at a time when the rapid turnover of information and the ongoing changes in the technological, social, cultural, political and economic spheres make it more difficult for teachers to prepare lessons that enhance students’ interest and motivation. There is so much to be learnt outside of the classroom’s four walls that traditional methods of teaching may not be the most effective way to teach today’s learners. When it comes to classes of Portuguese language, teachers are faced with the challenge of teaching culture, literature, grammar and skills such as reading, writing and speaking in a way that involves students as active participants, that is, in a way that engages while also instructing. It means that several strategies need to be adopted, from games to the use of new technologies or, among others, an interdisciplinary approach with maths, (social) sciences and arts, for instance. In an attempt to motivate gifted and talented children that were attending elementary school in a small town near Viseu, in Portugal, The School of Education of the Polytechnic Institute of Viseu was asked to be part of a project in 2013, in a collaborative partnership that proved successful and that was re-enacted in 2015. It is in light of the above that, in this paper, we aim to: a) describe the support that the School of Education provided to these participants, children who were between six and fourteen, by presenting Portuguese language activities that intended to stimulate creative thinking and artistic production; and b) discuss the results of the project, by analysing the students’ productions across verbal and visual modes (ie. script writing and dubbing an excerpt of an animation film, interviews, news reports, drawings, the creation and recitation of poems…). Future activities are on the table, meaning that the School of Education’s commitment to feeding the students’ creativity has shown promising results. Creativity in Portuguese classes is not a guarantee of success but it certainly is food for thought.

Atribuições causais de alunos do 9ºano de escolaridade face ao (in)sucesso a matemática

Dissertação de Mestrado apresentada no Instituto Superior de Psicologia Aplicada para obtenção de grau de Mestre na especialidade de Psicologia Educacional

"The X in balance", a serious game to learn how to solve mathematical equations

(Prefácio) This dissertation is submitted for the degree of Masters (Engenharia Informática) at University of Évora. Under the supervision of Professor Francisco Manuel Gonçalves Coelho, i have selected to work on game design. With the specific period of time and resources, an attempt has been made to make a serious educational game. While writing this thesis, the objective was to describe a math game for solving mathematical equations. Injecting learning factor in a game, is a main concern of this project. The document is about the description of ‘X in Balance’ game. This game provides a platform for school aged students to solve the equations by playing game. It also gives a unique dimension of putting fun and math in a same platform. The document describes full detail on the project. The first chapter gives an introduction about the problem faced by students in doing maths and the learning behavior of a game. It also points out the opportunities that this game might brings and the motivation behind doing this work. It describes the game concept and its genre too. Besides, the second chapter tells state of an art of serous educational game. It defines the concept of serious game and its types. Furthermore, it justifies the flexibility of serious games to adapt all learning styles. The impact of serious games on learning is also mentioned. It also includes the related work of other researchers.

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.

Avaliação do potencial de desenvolvimento em meninos e meninas dos 4 aos 6 anos

Todos nós, educadores, devemos prestar uma atenção aprofundada às potencialidades e inclinações das crianças que constituem os nossos grupos, para que possamos estimular e desenvolver as suas competências. É nesse sentido que desenvolvemos este Estudo Exploratório, com o qual se pretende analisar a adaptação da avaliação de potencial derivada da Teoria das Inteligência Múltiplas ao contexto da Educação Pré-Escolar, com o objectivo de contribuir para a qualidade da intervenção educativa, articulando conceitos como Inteligência, Competência, Potencial, Currículo, Avaliação Dinâmica. Participam no estudo 42 crianças que frequentam Jardim de Infância e integram dois grupos heterogéneos e as respectivas educadoras. A metodologia é de natureza qualitativa e quantitativa, apoiando-se na aplicação dos seguintes instrumentos: modelo de avaliação de potencial baseado no Spectrum; Inventário de Quociente Emocional, versão para crianças e jovens (Bar-On Emocional Quotient Inventory: Youth Version), adaptado a educadores por Candeias e Monteiro (2010); questionário de Caracterização do ambiente educativo - Sala de Actividades, adaptado por Candeias e lglésias (2010); Teste de Avaliação de Habilidades Cognitivas de Solução de Problemas lnterpessoais (EVHACOSPI). Os resultados obtidos sugerem a importância de uma avaliação do potencial, baseada na Teoria das Inteligências Múltiplas, que utiliza instrumentos adequados a cada um dos domínios do potencial e da competência humana propostos por H. Gardner: verbal, Lógico-Matemática, Musical, Corporal-Cinestésica, Visuo-espacial, lnterpessoal, Intrapessoal e Naturalista. Apontam também para o papel que este tipo de avaliação pode desempenhar na intervenção educativa que se objectiva intencional e fundamentada. ABSTRACT: Ali of us, educators, must pay a special attention to the potentialities and inclinations of children who make up our groups, so enabling the stimulation and development of their competences. ln this sense we developed this Exploratory Study, through which is intended to analyse the adaptation of potential evaluation derived from the Theory of Multiple intelligences in the range of Pre-School Education, aiming at the contribution for the educative intervention: articulating concepts such as Intelligence, Competence Potential, Curriculum, and Dynamic Evaluation. The study involves 42 children attending Infant School, belonging to two heterogeneous groups and respective educators. Methodology is of qualitative and quantitative nature, supported by the following instruments: evaluation model based on Spectrum; Inventory of Emotional Quotient, version for children and youths, adapted to educators by Candeias e Monteiro (2010), Query of Characterization of Educative Environment - Activities Room, adapted by Candeias e lglésias (2010); Test for Evaluation of Cognitive Abilities of Interpersonal Problems Solution. (EVHACOSPI). The results suggest the importance of an assessment, based on the Theory of Multiple Intelligence, which uses instruments fitted to each of the domains of human potential and competence proposed by H. Gardiner: Verbal, Logical-Maths, Musical, Corporal¬ Kinaesthetic, Visuo-Spatial, Interpersonal, Intrapersonal and Naturalist. They also refer to the role that this type of assessment can play in the educational intervention aiming to be intentional and grounded.