Challenges in the creation and development of a mathematics MOOC

The fast development of distance learning tools such as Open Educational Resources (OER) and Massive Open Online Courses (MOOC or MOOCs) are indicators of a shift in the way in which digital teaching and learning are understood. MOOC are a new style of online classes that allow any person with web access, anywhere, usually free of charge, to participate through video lectures, computer graded tests and discussion forums. They have been capturing the attention of many higher education institutions around the world. This paper will give us an overview of the “Introduction to Differential Calculus” a MOOC Project, created by an engaged volunteer team of Mathematics lecturers from four schools of the Polytechnic Institute of Oporto (IPP). The MOOC theories and their popularity are presented and complemented by a discussion of some MOOC definitions and their inherent advantages and disadvantages. It will also explore what MOOC mean for Mathematics education. The Project development is revealed by focusing on used MOOC structure, as well as the quite a lot of types of course materials produced. It ends with a presentation of a short discussion about problems and challenges met throughout the development of the project. It is also our goal to contribute for a change in the way teaching and learning Mathematics is seen and practiced nowadays, trying to make education more accessible to as many people as possible and increase our institution (IPP) recognition.

Master's in Autonomous Systems: An Overview of the Robotics Curriculum and Outcomes at ISEP, Portugal

Robotics research in Portugal is increasing every year, but few students embrace it as one of their first choices for study. Until recently, job offers for engineers were plentiful, and those looking for a degree in science and technology would avoid areas considered to be demanding, like robotics. At the undergraduate level, robotics programs are still competing for a place in the classical engineering graduate curricula. Innovative and dynamic Master's programs may offer the solution to this gap. The Master's degree in autonomous systems at the Instituto Superior de Engenharia do Porto (ISEP), Porto, Portugal, was designed to provide a solid training in robotics and has been showing interesting results, mainly due to differences in course structure and the context in which students are welcomed to study and work.

Como Fazer um Curriculum Cirúrgico

A discussão do curriculum vitae é um parâmetro muito valorizado na avaliação dos internatos de especialidade em Portugal. No entanto, a inexistência de normas orientadoras para a sua elaboração cria dificuldades aos candidatos que os escrevem, aos júris que os classificam e às entidades da tutela a quem compete garantir equidade no processo. Apresenta-se e comenta-se uma proposta de sistematização de curriculum genérico para as especialidades cirúrgicas, baseado na legislação que regulamenta a avaliação da formação médica pós-graduada. Considera-se desejavel uma discussão alargada sobre o tema, em forum próprio.

Utilização do software Scratch no ensino das ciências da natureza e da matemática com alunos portadores de dislexia

O estudo que apresentamos tem como objetivos de investigação contribuir para o desenvolvimento global das crianças com Necessidades Educativas Especiais, nomeadamente, portadoras de Dislexia, designadamente em aulas onde são lecionados conteúdos de Ciências da Natureza e de Matemática, e conceber um recurso didático apoiado nas TIC que seja adequado à utilização em sala de aula por alunos com dislexia. Neste sentido, o estudo foi orientado pelas seguintes questões de investigação: A utilização do Scratch é adequada e exequível no trabalho quotidiano de alunos portadores de Dislexia? e Em que medida o Scratch pode contribuir para um melhor envolvimento dos alunos portadores de Dislexia na realização das tarefas propostas? O presente trabalho segue uma metodologia de carácter qualitativo, centrando-se no estudo de caso. Tentou-se dar uma resposta à reduzida utilização do software Scratch no ensino das Ciências da Natureza e Matemática como instrumentos viáveis para uma aprendizagem de sucesso em alunos portadores de Dislexia. Este estudo foi aplicado a três alunos do 4º ano, com este diagnóstico, de um agrupamento de escolas do concelho de Viseu. Para dar resposta às questões de investigação supracitadas foram implementadas e projetadas duas atividades no software Scratch para serem desenvolvidas em duas situações formativas contextualizadas. O subdomínio que se pretendeu trabalhar foi “A importância da água para os seres vivos” articulando com o conteúdo dos volumes. Os dados foram recolhidos através da análise dos Programas Educativos Individuais de cada um dos alunos participantes, das entrevistas às docentes de Educação Especial, de gravações áudio, fotografias, trabalhos dos alunos e os registos da professora investigadora. Os resultados obtidos permitiram caracterizar o modo como os alunos, portadores de dislexia, se envolveram com o Scratch na aquisição de conhecimento. Permitiram ainda demonstrar aos professores que é possível construir atividades nesta ferramenta envolvendo conteúdos curriculares interdisciplinares.

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.

The World Health Organization Multi-Professional Patient Safety Curriculum : implementation of key modules and its impact on patient safety knowledge, skills, and attitudes of medical students at the University of Algarve

ABSTRACT - Objectives: We attempted to show how the implementation of the key elements of the World Health Organization Patient Safety Curriculum Guide Multi-professional Edition in an undergraduate curriculum affected the knowledge, skills, and attitudes towards patient safety in a graduate entry Portuguese Medical School. Methods: After receiving formal recognition by the WHO as a Complementary Test Site and approval of the organizational ethics committee , the validated pre-course questionnaires measuring the knowledge, skills, and attitudes to patient safety were administered to the 2nd and3rd year students pursuing a four-year course (N = 46). The key modules of the curriculum were implemented over the academic year by employing a variety of learning strategies including expert lecturers, small group problem-based teaching sessions, and Simulation Laboratory sessions. The identical questionnaires were then administered and the impact was measured. The Curriculum Guide was evaluated as a health education tool in this context. Results: A significant number of the respondents, 47 % (n = 22), reported having received some form of prior patient safety training. The effect on Patient Safety Knowledge was assessed by using the percentage of correct pre- and post-course answers to construct 2 × 2 contingency tables and by applying Fishers’ test (two-tailed). No significant differences were detected (p < 0.05). To assess the effect of the intervention on Patient Safety skills and attitudes, the mean and standard deviation were calculated for the pre and post-course responses, and independent samples were subjected to Mann-Whitney’s test. The attitudinal survey indicated a very high baseline incidence of desirable attitudes and skills toward patient safety. Significant changes were detected (p < 0.05) regarding what should happen if an error is made (p = 0.016), the role of healthcare organizations in error reporting (p = 0.006), and the extent of medical error (p = 0.005). Conclusions: The implementation of selected modules of the WHO Patient Safety Curriculum was associated with a number of positive changes regarding patient safety skills and attitudes, with a baseline incidence of highly desirable patient safety attitudes, but no measureable change on the patient safety knowledge, at the University of Algarve Medical School. The significance of these results is discussed along with implications and suggestions for future research.

Industrial engineering and management curriculum profile: Developing a framework of competences

This paper presents a framework of competences developed for Industrial Engineering and Management that can be used as a tool for curriculum analysis and design, including the teaching and learning processes as well as the alignment of the curriculum with the professional profile. The framework was applied to the Industrial Engineering and Management program at University of Minho (UMinho), Portugal, and it provides an overview of the connection between IEM knowledge areas and the competences defined in its curriculum. The framework of competences was developed through a process of analysis using a combination of methods and sources for data collection. The framework was developed according to four main steps: 1) characterization of IEM knowledge areas; 2) definition of IEM competences; 3) survey; 4) application of the framework at the IEM curriculum. The findings showed that the framework is useful to build an integrated vision of the curriculum. The most visible aspect in the learning outcomes of IEM program is the lack of balance between technical and transversal competences. There was not almost any reference to the transversal competences and it is fundamentally concentrated on Project-Based Learning courses. The framework presented in this paper provides a contribution to the definition of IEM professional profile through a set of competences which need to be explored further. In addition, it may be a relevant tool for IEM curriculum analysis and a contribution for bridging the gap between universities and companies.

O professor como construtor do currículo: integração da tecnologia em atividades de aprendizagem de matemática

O desenvolvimento profissional dos professores de matemática, por meio de progra¬mas nacionais e formações contínuas, deve proporcionar experiências que envolvam investigação, pensamento, planeamento, prática e reflexão. No caso da tecnologia, não nos devemos focar nas ferramentas em si, mas no modo como são usadas pelos docentes em contexto de sala de aula. Existem taxonomias de atividades de apren¬dizagem baseadas no conteúdo assentes na ideia do professor como construtor do currículo, que, para integrar com sucesso a tecnologia educativa nas aulas, desenvolve o conhecimento pedagógico e tecnológico do conteúdo (TPACK), e apresenta-se a de matemática. Desse modo, reflete-se, por meio de vários estudos nacionais e internacionais, que as tecnologias deverão ser usadas pelos professores de acordo com objetivos, conteúdos e pedagogias específicas para terem um efeito positivo na aprendizagem dos alunos sobre as atividades baseadas no conteúdo que melhor se enquadram com essas tecnologias.

Educação bilingue em Moçambique: um estudo de caso, na Província de Gaza, centrado nas práticas pedagógicas do ensino básico

Em contextos como o de Moçambique que apresenta uma diversidade linguística, o uso de mais de uma língua no ensino é quase que obrigatório. Assim, urge a necessidade de formalizar a Educação Bilingue (EB) nas escolas moçambicanas. A modalidade de EB em Moçambique é de transição e manutenção, nas primeiras classes (1ª, 2ª e 3ª) usa-se a língua local como meio de instrução e o Português é uma disciplina, a partir da 4ª classe há uma inversão. Dessa estratégia o aluno deve estar em condições na 5ª classe de enfrentar o exame nacional, que é feito em língua oficial Portuguesa, para transitar do 1º para o 2º grau. O trabalho tem como problema esta interrogação: De que modo o programa curricular de Educação Bilingue se traduz nas práticas pedagógicas nas escolas do Ensino Básico que usam a língua Portuguesa e Changana no distrito de Bilene, na província de Gaza? O estudo empírico é de natureza qualitativa e quantitativa, com a utilização de técnicas de recolha de dados como a análise documental, entrevistas, questionário e provas escrita e oral aos alunos. Do estudo conclui-se: i) Não existe um programa de base especificamente para EB; ii) Há incongruência entre o programa e as práticas pedagógicas e iii) Os alunos apresentam maior dificuldades de compreensão, na escrita do que na oralidade, nas provas de conhecimento nas disciplinas básicas (Português e Matemática) em língua Portuguesa.

O papel dos livros informativos para a infância na conformação de uma educação histórica

Relatório de estágio de mestrado em Educação Pré-Escolar e Ensino do 1ºCiclo do Ensino Básico

The Philosophical magazine : or Annals of chemistry, mathematics, astronomy, natural history and general science.

2nd ser. : v.9 (1831)

The Philosophical magazine : or Annals of chemistry, mathematics, astronomy, natural history and general science.

2nd ser. : v.3 (1828)

The Philosophical magazine : or Annals of chemistry, mathematics, astronomy, natural history and general science.

2nd ser. : v.4 (1828)

On the applicability of mathematics : philosophical and historical perspectives

The present thesis is a contribution to the debate on the applicability of mathematics; it examines the interplay between mathematics and the world, using historical case studies. The first part of the thesis consists of four small case studies. In chapter 1, I criticize "ante rem structuralism", proposed by Stewart Shapiro, by showing that his so-called "finite cardinal structures" are in conflict with mathematical practice. In chapter 2, I discuss Leonhard Euler's solution to the Königsberg bridges problem. I propose interpreting Euler's solution both as an explanation within mathematics and as a scientific explanation. I put the insights from the historical case to work against recent philosophical accounts of the Königsberg case. In chapter 3, I analyze the predator-prey model, proposed by Lotka and Volterra. I extract some interesting philosophical lessons from Volterra's original account of the model, such as: Volterra's remarks on mathematical methodology; the relation between mathematics and idealization in the construction of the model; some relevant details in the derivation of the Third Law, and; notions of intervention that are motivated by one of Volterra's main mathematical tools, phase spaces. In chapter 4, I discuss scientific and mathematical attempts to explain the structure of the bee's honeycomb. In the first part, I discuss a candidate explanation, based on the mathematical Honeycomb Conjecture, presented in Lyon and Colyvan (2008). I argue that this explanation is not scientifically adequate. In the second part, I discuss other mathematical, physical and biological studies that could contribute to an explanation of the bee's honeycomb. The upshot is that most of the relevant mathematics is not yet sufficiently understood, and there is also an ongoing debate as to the biological details of the construction of the bee's honeycomb. The second part of the thesis is a bigger case study from physics: the genesis of GR. Chapter 5 is a short introduction to the history, physics and mathematics that is relevant to the genesis of general relativity (GR). Chapter 6 discusses the historical question as to what Marcel Grossmann contributed to the genesis of GR. I will examine the so-called "Entwurf" paper, an important joint publication by Einstein and Grossmann, containing the first tensorial formulation of GR. By comparing Grossmann's part with the mathematical theories he used, we can gain a better understanding of what is involved in the first steps of assimilating a mathematical theory to a physical question. In chapter 7, I introduce, and discuss, a recent account of the applicability of mathematics to the world, the Inferential Conception (IC), proposed by Bueno and Colyvan (2011). I give a short exposition of the IC, offer some critical remarks on the account, discuss potential philosophical objections, and I propose some extensions of the IC. In chapter 8, I put the Inferential Conception (IC) to work in the historical case study: the genesis of GR. I analyze three historical episodes, using the conceptual apparatus provided by the IC. In episode one, I investigate how the starting point of the application process, the "assumed structure", is chosen. Then I analyze two small application cycles that led to revisions of the initial assumed structure. In episode two, I examine how the application of "new" mathematics - the application of the Absolute Differential Calculus (ADC) to gravitational theory - meshes with the IC. In episode three, I take a closer look at two of Einstein's failed attempts to find a suitable differential operator for the field equations, and apply the conceptual tools provided by the IC so as to better understand why he erroneously rejected both the Ricci tensor and the November tensor in the Zurich Notebook.