Preservice teachers' knowledge on elementary geometry concepts

This text is based on a research, which is still in progress, whose main objective is to identify and understand what are the main difficulties of future mathematics teachers of basic education are, regarding their content knowledge in geometry in the context of the curricular unit of Geometry during their undergraduate degree. We chose a qualitative approach in the form of case study, in which data collection was done through observation, interviews, a diverse set of tasks, a diagnostic test and other documents. This paper focuses on the test given to prospective teachers at the beginning of the course. The preliminary analysis of the data points to a weak performance of preservice teachers in the test issues addressing elementary knowledge of Geometry

Preservice teachers' knowledge on elementary geometry concepts

This text is based on a research, which is still in progress, whose main objective is to identify and understand what are the main difficulties of future mathematics teachers of basic education are, regarding their content knowledge in geometry in the context of the curricular unit of Geometry during their undergraduate degree. We chose a qualitative approach in the form of case study, in which data collection was done through observation, interviews, a diverse set of tasks, a diagnostic test and other documents. This paper focuses on the test given to prospective teachers at the beginning of the course. The preliminary analysis of the data points to a weak performance of preservice teachers in the test issues addressing elementary knowledge of Geometry.

O retrato da integração das TIC no 1º ciclo: Que perspectivas?

Durante a última década fizeram-se diversos investimentos que impulsionaram mudanças no apetrechamento de equipamento informático nas escolas e na formação de professores. Parece-nos haver necessidade de entender em que estádio de desenvolvimento se encontram os professores no âmbito das TIC, que tipo de ferramentas utilizam, com que frequência e que resultados verificam nas práticas pedagógicas. Esta investigação envolveu cerca de 1300 professores a leccionarem em escolas públicas e privadas na região do grande Porto e tem como propósito reflectir sobre a integração das TIC na educação podendo contribuir no apoio à decisão em futuras iniciativas.

Do outro lado da sala... Relatório de Estágio da Prática Educativa

Este relatório de estágio integra-se na unidade curricular de Integração Curricular: Prática Educativa e Relatório de Estágio, inserida no segundo ano do Mestrado em Ensino do 1.º e 2.º Ciclo do Ensino Básico. Neste sentido, tem como propósito dar a conhecer o percurso realizado pela mestranda nos dois contextos educativos onde desenvolveu a sua Prática Educativa Supervisionada. Sendo a Prática o momento em que teoria e práxis se articulam, evidencia, num primeiro momento, o enquadramento académico e profissional que deve nortear a ação do professor. Inicia-se, assim, pelos pressupostos legais que fundamentam a formação de professores e a Prática Educativa Supervisionada, seguindo-se algumas considerações sobre a dimensão profissional e pressupostos teóricos e práticos que devem orientar o professor na sua ação, destacando-se, neste sentido, a reflexão e a investigação nos diferentes momentos da ação docente. Descreve, num segundo momento, o contexto educativo onde a mestranda se integrou, seguindo-se uma análise reflexiva e devidamente fundamentada das experiências educativas vivenciadas em par pedagógico, nos dois contextos, nomeadamente, a Escola Eb1/Ji dos Miosótis e a Escola Eb2/3 Pêro Vaz de Caminha. Todo este trabalho de cooperação se realizou em par pedagógico, possibilitando a construção de conhecimentos e de vivências partilhadas que foram, sem dúvida, enriquecedoras. Este relatório de estágio pretende evidenciar o crescimento da mestranda a nível pessoal e profissional e apresenta-se como o culminar de uma etapa marcante na sua vida, a formação inicial de professores. Fica, desta forma, a certeza de que o verdadeiro caminho se inicia agora, um caminho esse que será certamente repleto de novos desafios e aprendizagens.

Os apoios educativos na construção do sucesso educativo: um estudo de caso num Território de intervenção prioritária

O maior desafio da escola atual é conjugar a escolaridade obrigatória e universal com a ânsia do sucesso educativo. Uma escola justa e democrática não pode limitar-se a selecionar os que têm mais mérito, tem, obrigatoriamente, de se preocupar com aqueles que têm mais dificuldades em ter sucesso e que se vão autoexcluindo. Um dos dispositivos clássicos para potenciar os resultados académicos são os Apoios Educativos, porém no Agrupamento de Escolas X, um Território Educativo de Intervenção Prioritária (TEIP), os resultados obtidos mantêm-se abaixo dos padrões nacionais. É este o ponto de partida do nosso estudo, pois, apesar do investimento considerável no aumento de apoios educativos neste Agrupamento, muitos alunos continuam a registar insucesso educativo.Partindo desta realidade percecionada com a análise documental sobre os Apoios Educativos neste Agrupamento, e após uma ação de acompanhamento da Inspeção Geral da Educação e Ciência, surgiu a necessidade de orientar o nosso olhar para uma análise de todo o processo dos apoios de modo a perceber como se pode otimizar o impacto dos apoios no sucesso dos alunos e, consequentemente, ter o reconhecimento exterior. Tendo por base a análise de conteúdo das entrevistas a docentes de Português e Matemática, envolvidos no processo dos apoios educativos e do focus group realizado com alunos que beneficiaram destes apoios educativos, e suportada por um enquadramento teórico e legal, delineou-se um plano de ação, que visa a melhoria do sucesso educativo de todos os alunos e envolve toda a organização escolar. Perceciona-se a preponderância da coordenação e da monitorização num processo que se pretende efetivo e não de simples receituário, mas acima de tudo, toma-se consciência que para funcionar é necessário que seja devidamente clarificado, sentido e apropriado por todos os atores envolvidos.

Teaching and learning mathematics using moodle

This paper summarizes a project that is contributing to a change in the way of teaching and learning Mathematics. Mathematics is a subject of the Accounting and Administration course. In this subject we teach: Functions and Algebra. The aim is that the student understand the basic concepts and is able to apply them in other issues, when possible, establishing a bridge between the issues that they have studied and their application in Accounting. As from this year, the Accounting course falls under in Bologna Process. The teacher and the student roles have changed. The time for theoretical and practical classes has been reduced, so it was necessary to modify the way of teaching and learning. In the theoretical classes we use systems of multimedia projection to present the concepts, and in the practical classes we solve exercises. We also use the Excel and the mathematical open source software wxMaxima. To supplement our theoretical and practical classes we have developed a project called MatActiva based on the Moodle platform offered by PAOL - Projecto de Apoio Online (Online Support Project). With the creation of this new project we wanted to take advantage already obtained results with the previous experiences, giving to the students opportunities to complement their study in Mathematics. One of the great objectives is to motivate students, encourage them to overcome theirs difficulties through an auto-study giving them more confidence. In the MatActiva project the students have a big collection of information about the way of the subject works, which includes the objectives, the program, recommended bibliography, evaluation method and summaries. It works as material support for the practical and theoretical classes, the slides of the theoretical classes are available, the sheets with exercises for the students to do in the classroom and complementary exercises, as well as the exams of previous years. Students can also do diagnostic tests and evaluation tests online. Our approach is a reflexive one, based on the professional experience of the teachers that explore and incorporate new tools of Moodle with their students and coordinate the project MatActiva.

How to teach mathematics with MOODLE

The aim of this article is to present a Project in the Oporto’s Institute of Accounting and Administration, which pretends to contribute for a change in the way of teaching and learning Mathematics. One of the main objectives of this project is to innovate the teaching and learning processes, exploring technologies as a pedagogical resource and to induce higher motivation to students, improve the rate of success and make available to students a set of materials adapted to their needs. This concern is justified due to the fact that students have a weak preparation, without consolidated basis. Since the year 2007/2008 the courses were adjusted to the Bologna process, which requires several changes in teacher’s and student’s roles, methodologies and assessment. The number of weekly classes has been reduced, so it was necessary to develop new strategies and methodologies to support the student. With the implementation of the Bologna Process in the Accounting degree, we felt a great need to provide other types of activities to students. To complement our theoretical and practical classes we have developed a project called MatActiva based on the Moodle platform offered by PAOL - Projecto de Apoio On-Line (Online Support Project). Moodle allows us to use the language TEX to create materials that use mathematical symbols. Using this functionality, we created a set of easy to use interactive resources. In MatActiva project, the students have access to a variety of different materials. We have followed a strategy that makes the project compatible with the theoretical and practical subjects/classes, complementing them. To do so, we created some resources, for instance multiple-choice tests, which are the most accessed by the students. These tests can be realized and corrected on-line and for each wrong answer there is a feedback with the resolution. We can find other types of resources: diagnostic tests, theoretical notes. There are not only the pre-requirements for subjects mathematics, but also materials to help students follow up the programs. We also developed several lessons. This activity consists of a number of pages, where each page has contents and leads to other pages, based on the student's progress. The teacher creates the choices and determines the next page that the student will see, based upon their knowledge. There is also an area of doubts, where the students can place all the mathematical doubts they have, and a teacher gives the answers or clues to help them in their work. MatActiva also offers an area where we can find some humour, curiosities, contests and games including mathematical contents to test the math skills, as well as links to pages about mathematical contents that could be useful for the study. Since ISCAP receives ERASMUS students and some of them attend mathematics, we developed some materials in English, so they can also use MatActiva. The main objectives of our project are not only to bring success in the subjects of mathematics, but also to motivate the students, encourage them to overcome theirs difficulties through an auto-study giving them more confidence and improve their relationship with the mathematics as well as the communication between students and teachers and among students.

The active mathematics project at ISCAP

This paper summarizes a project that is contributing to a change in the way of teaching and learning Mathematics. Mathematics is a subject of the Accounting and Administration course. In this subject we teach: Functions and Algebra. The aim is that the students understand the basic concepts and is able to apply them in other issues, when possible, establishing a bridge between the issues that they have studied and their application in Accounting. As from this year, the Accounting course falls under in Bologna Process. The teacher and the student roles have changed. The time for theoretical and practical classes has been reduced, so it was necessary to modify the way of teaching and learning. In the theoretical classes we use systems of multimedia projection to present the concepts, and in the practical classes we solve exercises. To supplement our theoretical and practical classes we have developed an active mathematics project called MatActiva based on the Moodle platform offered by PAOL - Projecto de Apoio Online (Online Support Project). In the last versions of Moodle, it is possible use the TeX language to create math questions. Using this tool we created a set of interactive materials. With the creation of this new project we wanted to take advantage already obtained results with the previous experiences, giving to the students opportunities to complement their study in Mathematics. One of the great objectives is to motivate students, encourage them to overcome theirs difficulties through an auto-study, giving them more confidence and the opportunity to seeing others perspectives of the mathematics subjects. In the MatActiva project the students have a big collection of information about the way of the subject works, which includes the objectives, the program, recommended bibliography, evaluation method and summaries. It works as material support for the practical and theoretical classes, the slides of the theoretical classes are available, the sheets with exercises for the students to do in the classroom and complementary exercises, as well as the exams of previous years. Students can also do diagnostic tests and evaluation tests online. Our approach is a reflexive one, based on the professional experience of the teachers that explore and incorporate new tools of Moodle with their students and coordinate the project MatActiva.

The impact of an online mathematics education project (MATACTIVA) on higher education students

The Online Mathematics Education Project (MatActiva) is an exciting new initiative which aims to support and enhance mathematics education. The project is led by the Institute of Accounting and Administration of Porto (ISCAP), part of the Polytechnic Institute of Porto (IPP). It provides innovative resources and carefully constructed materials around themes such as Elementary Mathematics, Calculus, Algebra, Statistics and Financial Mathematics to help support and inspire students and teachers of mathematics. The goal is to increase mathematical understanding, confidence and enjoyment, enrich the mathematical experience of each person, and promote creative and imaginative approaches to mathematics. Furthermore the project can be used to deliver engaging and effective mathematics instruction through the flipped classroom model. This paper also presents the findings of a large survey, whose propose was to study the student’s reaction to the project.

Teaching mathematics using Massive Open Online Courses

Distance learning - where students take courses (attend classes, get activities and other sort of learning materials) while being physically separated from their instructors, for larger part of the course duration - is far from being a “new event”. Since the middle of the nineteenth century, this has been done through Radio, Mail and TV, taking advantage of the full educational potential that these media resources had to offer at the time. However, in recent times we have, at our complete disposal, the “magic wonder” of communication and globalization - the Internet. Taking advantage of a whole new set of educational opportunities, with a more or less unselfish “look” to economic interests, focusing its concern on a larger and collective “welfare”, contributing to the development of a more “equitable” world, with regard to educational opportunities, the Massive Open Online Courses (MOOCs) were born and have become an important feature of the higher education in recent years. Many people have been talking about MOOCs as a potential educational revolution, which has arrived from North America, still growing and spreading, referring to its benefits and/or disadvantages. The Polytechnic Institute of Porto, also known as IPP, is a Higher Education Portuguese institution providing undergraduate and graduate studies, which has a solid history of online education and innovation through the use of technology, and it has been particularly interested and focused on MOOC developments, based on an open educational policy in order to try to implement some differentiated learning strategies to its actual students and as a way to attract future ones. Therefore, in July 2014, IPP launched the first Math MOOC on its own platform. This paper describes the requirements, the resulting design and implementation of a mathematics MOOC, which was essentially addressed to three target populations: - pre-college students or individuals wishing to update their Math skills or that need to prepare for the National Exam of Mathematics; - Higher Education students who have not attended in High School, this subject, and who feel the need to acquire basic knowledge about some of the topics covered; - High School Teachers who may use these resources with their students allowing them to develop teaching methodologies like "Flipped Classroom” (available at http://www.opened.ipp.pt/). The MOOC was developed in partnership with several professors from several schools from IPP, gathering different math competences and backgrounds to create and put to work different activities such video lectures and quizzes. We will also try to briefly discuss the advertising strategy being developed to promote this MOOC, since it is not offered through a main MOOC portal, such as Coursera or Udacity.