ISCAP - ATC de Matemática
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Browsing ISCAP - ATC de Matemática by Author "babo, lurdes"
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- Data analysis and learning analytics for measure effects of gamification in a math online projectPublication . Lopes, Ana Paula; babo, lurdes; Azevedo, Jose Manuel; Torres, CristinaNowadays the use of the information and communication technologies (ICT) is more and more common in the learning and teaching process. Modern forms of education have risen and these require the implementation of new learning paradigms: situated cognition, student-centred learning, distributed cognition, constructivism, and communities of practice, among others. However there is an important problem that concerns educators, the lack of student motivation and engagement in education, especially in the e-learning environment (Online Education, Online Courses), where the motivation and the active role of students are definitely the key. Therefore, the interest of researchers in the subject of gamification, which main pillars are motivation, progressiveness and instant feedback, has increased. Furthermore, influence of gamification, depending on utilized components (challenge, curiosity, competion, recognition, etc) may have different effects on students. Thus, there is a need of deeper understanding of dependencies between engagement and implemented gamification elements. The goal of such analysis could be personalization of an e-learning system based on a model that enables management of gamification process individually for every student. The purpose of this paper is to investigate how gamification affects a Mathematics Online Course that is using this model as a pedagogical strategy. It relates such strategy with active learning practices and discusses its effectiveness, investigating how gamification can motivate students to participate more deeply and even to change their self-concept as learners. Moreover, the learning analytics and data analysis shows that implementation of the gamification components contributes to the engagement of students in an e-learning environment, having a positive impact on the final grade.
- Developing multiple - choice questions in mathematicsPublication . Torres, Cristina; Lopes, Ana Paula; Azevedo, Jose Manuel; babo, lurdesIn this paper we wish to illustrate different perspectives used to create Multiple-Choice questions and we will show how we can improve these in the construction of math tests. As it is known, web technologies have a great influence on student’s behaviour. Based on an on-line project beginning at 2007 which has been contributing to help students on their individual work, we would like to share our experience and thoughts with colleagues who have a common concern when they have the task of constructing Multiple-Choice tests. We feel that Multiple-Choice tests play an important and a very useful supporting role in selfevaluation or self-examination of our students. Nonetheless, good Multiple–Choice Test Items are generally more complex and time-consuming to create than other types of tests. It requires a certain amount of skill. However, this skill maybe increases through study, practice and experience. This paper discusses a number of issues related to the use of Multiple-Choice questions, lists the advantages and disadvantages of this question format contrasting it with open questions. Some examples are given in this context.
- How to teach mathematics with MOODLEPublication . Torres, Cristina; Azevedo, Jose Manuel; Lopes, Ana Paula; babo, lurdesThe 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.
- MatActiva Project – A mathematical dynamic environment to engage students in the learning processPublication . Torres, Cristina; Lopes, Ana Paula; babo, lurdes; Azevedo, Jose ManuelSeveral studies report that mathematical subjects have high failure rates from earlier grades to higher education. Nowadays, higher education institutions are facing many unprepared students with regard to the mathematical skills. Although students avoid mathematical courses, yet science, technology, engineering and mathematics fields keep among the job-growth areas. Aware of this reality, in 2007, a group of Mathematics lecturers from ISCAP (Institute of Accounting and Administration of Porto) started the development of an online project on the Moodle platform called, MatActiva. This project arose as a need to improve learning and increase the levels of success in the first years Mathematic courses. It aims to enhance mathematics education, creating a learning environment aligned with real needs of the students, in which they can learn at their own pace, motivating and encouraging them to overcome the difficulties, and giving them more confidence. It is a whole learning environment that provides innovative resources and carefully constructed materials (e.g. video-lectures, multiple-choice tests, challenges) on topics such as Elementary Mathematics, Calculus, Algebra, Statistics and Financial Mathematics. Nowadays, it is supported by several math lecturers and ERASMUS students. Throughout the development of the project some challenges were found and gradually exceeded. One of them is related with mathematical symbols and the TeX language. Another problem concerns the construction of good multiple-choice questions and how to obtain a good bank of questions. Many doubts also arose when we began producing video-lectures in 2009 as there was little information about that. The project´s success is measured by platform usage´s volume and student´s engagement using learning analytics tools and by student´s opinion, regularly inquired during the project. In addition to continuous improvement of the materials, we plan the development of an app for smartphones and switch to a more recent Moodle version with further capabilities and tools.
- Monte Carlo na Avaliação de Opções AmericanasPublication . babo, lurdes; Silva, Eduarda; Areal, NelsonA determinação do preço justo de um contrato de opções, trouxe enormes desa os a diversos ramos da Matemática procurando desenvolver e aperfeiçoar modelos e métodos que melhor representem os comportamentos dos mercados nanceiros. A avaliação de opções americanas apresenta uma di culdade acrescida, uma vez que é necessário determinar uma estratégia óptima ao seu exercício antecipado, já que estas opções podem ser exercidas em qualquer momento até à sua maturidade. Investigações recentes mostram que metodologias baseadas em técnicas de simulação podem ser usadas com sucesso neste tipo de opções (Duan and Simonato (2001), Longsta and Schwartz (2001), Stentoft (2005)). Neste trabalho, usamos métodos de Monte Carlo para avaliar opções Americanas, recorrendo à abordagem sugerida por Longsta and Schwartz (2001), combinando modelos GARCH para o subjacente com Filtered Historical Simulation (Barone, Engle and Mancini (2008)).
- Moodle and multiple-choice testsPublication . babo, lurdes; Azevedo, Jose Manuel; Torres, Cristina; Lopes, Ana PaulaMultiple-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.
- Multiple-choice tests: a tool in assessing knowledgePublication . Azevedo, Jose Manuel; Lopes, Ana Paula; babo, lurdes; Torres, CristinaThe 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.
- New challenges in mathematics for the european higher educationPublication . Torres, Cristina; babo, lurdes; Azevedo, Jose ManuelIn 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.
- O projecto matactiva no ISCAPPublication . Torres, Cristina; Lopes, Ana Paula; Azevedo, Jose Manuel; babo, lurdesA partir do ano 2007/2008 todos os cursos do ISCAP foram adequados ao Processo de Bolonha, o que pressupõe várias mudanças a nível dos papéis do professor e do aluno, das metodologias e da avaliação. A carga horária semanal das disciplinas da Matemática foi bastante reduzida, por isso foi necessário desenvolver novas estratégias e metodologias de apoio ao aluno. Para complementar as aulas teóricas e práticas desenvolvemos um projecto com o nome MatActiva baseado na plataforma Moodle, disponibilizada pelo PAOL (Projecto de Apoio On-Line). O Moodle permite usar a linguagem TEX para criar materiais que utilizam símbolos matemáticos. Fazendo uso desta funcionalidade, criámos um conjunto de recursos interactivos de fácil utilização. No MatActiva os estudantes têm acesso a um conjunto diversificado de materiais: apontamentos teóricos que lhes fornecem, não só os pré-requisitos necessários para as disciplinas de matemática, mas também material de acompanhamento aos respectivos programas. Para isso, criaram-se vários recursos sendo os testes de escolha múltipla os mais procurados pelos alunos. Estes testes podem ser realizados e corrigidos on-line e para cada resposta errada existe um feedback de resolução. Como o ISCAP recebe alunos ERASMUS e estes frequentam a disciplina de Matemática, foi também desenvolvido material em inglês. Os principais objectivos do nosso projecto são motivar os alunos, encoraja-los a superar as suas dificuldades de uma forma autónoma, permitindo-lhes aumentar a sua autoconfiança e gosto pela aprendizagem da Matemática, assim como fomentar a comunicação professor-aluno e aluno-aluno.
- Teaching and learning mathematics using moodlePublication . Lopes, Ana Paula; babo, lurdes; Azevedo, Jose ManuelThis 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.