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 False cognates in enology and gastronomy: a study in english and spanish

This paper will focus on some aspects of translation based on blending distinct linguistic domains such as the vocabulary of Hotel Industry, of Enology and Gastronomy in Spanish by tertiary level students (2nd year) of the course of Hotel Management. Portuguese students, most of the times, rely on a L1 (Portuguese) general language, namely using false cognates in the above mentioned areas in the Spanish and English classes in, at a first sight helpful but misleading way, hoping to succeed by using the word that seems correct to the context, when there isn’t, because: •they choose a word suitable to the context in L2, but the choice of that word is often misleading, by relying in a false L1 reality that is going to adulterate reality in the L2 domain, •but it seems that the opposite is also true, and takes place too; The difficulty in making such type of distinctions is due to: •the lack of linguistic and lexical knowledge; • the need to study the cause of these chromaticisms, by: • being in touch with specific literature; . working, not only with their peers, but also with their language teacher to develop strategies to diminish and, if possible, to eradicate this type of linguistic and, mainly translation problem, that causes so many learning constraints.

Some translation difficulties in the use of false friends in english

This paper will focus on some aspects of translation based on blending distinct linguistic domains such as English Language and Portuguese in using false friends in the English class in tertiary level students, reflecting namely on: 1. the choice of a word suitable to the context in L2 ; 2. the difficulties encountered by choice of that word that could be misleading, by relying in a false L1 reality that is going to adulterate reality in the L2 domain; 3. the difficulty in making such type of distinctions due to the lack of linguistic and lexical knowledge. 4. the need to study the cause of these difficulties by working, not only with their peers, but also with their language teacher to develop strategies to diminish and if possible to eradicate this type of linguistic and, above all, translation problem by making an inventory of those types of mistakes. In relation to the first point it is necessary to know that translation tasks involve much more than literal concepts ( Ladmiral, 1975) : furthermore it is necessary and suitable to realise that lexicon relies in significant contexts (Coseriu 1966), which connects both domains, that, at first sight do not seem to be compatible. In other words, although students have the impression they dominate lexicon due to the fact that they possess at least seven years of foreign language exposure that doesn’t mean they master the particularities engaged in such a delicate task as translation is concerned. There are some chromaticisms in the words (false friends), that need to be researched and analysed later on by both students and language teachers. The reason for such state of affairs lies in their academic formation, of a mainly general stream, which has enabled them only for knowledge of the foreign language, but not for the translation as a tool as it is required only when they reach the tertiary level. Besides, for their translations they rely, most of the times, on glossaries, whose dominant language is portuguese of Brazil, which is, obviously, much different from the portuguese mother tongue reality and even more of English. So it seems necessary to use with caution the working tools (glossaries) that work as surpluses, but could bring translation problems as we will see.

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.

Eastwards / westwards: which direction for gender studies in the 21st century?

Eastwards / Westwards: Which Direction for Gender Studies in the XXIst Century? is a collection of essays which focus on themes and methods that characterize current research into gender in Asian countries in general. In this collection, ideas derived from Gender Studies elsewhere in the world have been subjected to scrutiny for their utility in helping to describe and understand regional phenomena. But the concepts of Local and Global – with their discoursive productions – have not functioned as a binary opposition: localism and globalism are mutually constitutive and researchers have interrogated those spaces of interaction between the ‘self’ and the ‘other’, bearing in mind their own embeddedness in social and cultural structures and their own historical memory. Contributors to this collection provided a critical transnational perspective on some of the complex effects of the dynamics of cultural globalization, by exploring the relation between gender and development, language, historiography, education and culture. We have also given attention to the ideological and rhetorical processes through which gender identity is constructed, by comparing textual grids and patterns of expectation. Likewise, we have discussed the role of ethnography, anthropology, historiography, sociology, fiction, popular culture and colonial and post-colonial sources in (re)inventing old/new male/female identities, their conversion into concepts and circulation through time and space. This multicultural and trans-disciplinary selection of essays is totally written in English, fully edited and revised, therefore, it has a good potential for an immediate international circulation. This project may trace new paths and issues for discussion on what concerns the life, practices and narratives by and about women in Asia, as well as elsewhere in the present day global experience. Academic readership: Researchers, scholars, educators, graduate and post-graduate students, doctoral students and general non-fiction readers, with a special interest in Gender Studies, Asia, Colonial and Post-Colonial Literature, Anthropology, Cultural Studies, History, Historiography, Politics, Race, Feminism, Language, Linguistics, Power, Political and Feminist Agendas, Popular Culture, Education, Women’s Writing, Religion, Multiculturalism, Globalisation, Migration. Chapter summary: 1. “Social Gender Stereotypes and their Implication in Hindi”, Anjali Pande, Jawaharlal Nehru University, New Delhi, India. This essay looks at the subtle ways in which gender identities are constructed and reinforced in India through social norms of language use. Language itself becomes a medium for perpetuating gender stereotypes, forcing its speakers to confirm to socially defined gender roles. Using examples from a classroom discussion about a film, this essay will highlight the underlying rigid male-female stereotypes in Indian society with their more obvious expressions in language. For the urban woman in India globalisation meant increased economic equality and exposure to changed lifestyles. On an individual level it also meant redefining gender relations and changing the hierarchy in man-­woman relationships. With the economic independence there is a heightened sense of liberation in all spheres of social life, a confidence to fuzz the rigid boundaries of gender roles. With the new films and media celebrating this liberated woman, who is ready to assert her sexual needs, who is ready to explode those long held notions of morality, one would expect that the changes are not just superficial. But as it soon became obvious in the course of a classroom discussion about relationships and stereotypes related to age, the surface changes can not become part of the common vocabulary, for the obvious reason that there is still a vast gap between the screen image of this new woman and the ground reality. Social considerations define the limits of this assertiveness of women, whereas men are happy to be liberal within the larger frame of social sanctions. The educated urban woman in India speaks in favour of change and the educated urban male supports her, but one just needs to scratch the surface to see the time tested formulae of gender roles firmly in place. The way the urban woman happily balances this emerging promise of independence with her gendered social identity, makes it necessary to rethink some aspects of looking at gender in a gradually changing, traditional society like India. 2. “The Linguistic Dimension of Gender Equality”, Alissa Tolstokorova, Kiev Centre for Gender Information and Education, Ukraine. The subject-matter of this essay is gender justice in language which, as I argue, may be achieved through the development of a gender-related approach to linguistic human rights. The last decades of the 20th century, globally marked by a “gender shift” in attitudes to language policy, gave impetus to the social movement for promoting linguistic gender equality. It was initiated in Western Europe and nowadays is moving eastwards, as ideas of gender democracy progress into developing countries. But, while in western societies gender discrimination through language, or linguistic sexism, was an issue of concern for over three decades, in developing countries efforts to promote gender justice in language are only in their infancy. My argument is that to promote gender justice in language internationally it is necessary to acknowledge the rights of women and men to equal representation of their gender in language and speech and, therefore, raise a question of linguistic rights of the sexes. My understanding is that the adoption of the Universal Declaration of Linguistic Rights in 1996 provided this opportunity to address the problem of gender justice in language as a human rights issue, specifically as a gender dimension of linguistic human rights. 3. “The Rebirth of an Old Language: Issues of Gender Equality in Kazakhstan”, Maria Helena Guimarães, Polytechnic Institute of Porto, Portugal. The existing language situation in Kazakhstan, while peaceful, is not without some tension. We propose to analyze here some questions we consider relevant in the frame of cultural globalization and gender equality, such as: free from Russian imperialism, could Kazakhstan become an easy prey of Turkey’s “imperialist dream”? Could these traditionally Muslim people be soon facing the end of religious tolerance and gender equality, becoming this new old language an easy instrument for the infiltration in the country of fundamentalism (it has already crossed the boarders of Uzbekistan), leading to a gradual deterioration of its rich multicultural relations? The present structure of the language is still very fragile: there are three main dialects and many academics defend the re-introduction of the Latin alphabet, thus enlarging the possibility of cultural “contamination” by making the transmission of fundamentalist ideas still easier through neighbour countries like Azerbaijan, Uzbekistan and Turkmenistan (their languages belong to the same sub-group of Common Turkic), where the Latin alphabet is already in use, and where the ground for such ideas shown itself very fruitful. 4. “Construction of Womanhood in the Bengali Language of Bangladesh”, Raasheed Mahmood; University of New South Wales, Sydney. The present essay attempts to explore the role of gender-based language differences and of certain markers that reveal the status accorded to women in Bangladesh. Discrimination against women, in its various forms, is endemic in communities and countries around the world, cutting across class, race, age, and religious and national boundaries. One cannot understand the problems of gender discrimination solely by referring to the relationship of power or authority between men and women. Rather one needs to consider the problem by relating it to the specific social formation in which the image of masculinity and femininity is constructed and reconstructed. Following such line of reasoning this essay will examine the nature of gender bias in the Bengali language of Bangladesh, holding the conviction that as a product of social reality language reflects the socio-cultural behaviour of the community who speaks it. This essay will also attempt to shed some light on the processes through which gender based language differences produce actual consequences for women, who become exposed to low self-esteem, depression and systematic exclusion from public discourse. 5. “Marriage in China as an expression of a changing society”, Elisabetta Rosado David, University of Porto, Portugal, and Università Ca’Foscari, Venezia, Italy. In 29 April 2001, the new Marriage Law was promulgated in China. The first law on marriage was proclaimed in 1950 with the objective of freeing women from the feudal matrimonial system. With the second law, in 1981, values and conditions that had been distorted by the Cultural Revolution were recovered. Twenty years later, a new reform was started, intending to update marriage in the view of the social and cultural changes that occurred with Deng Xiaoping’s “open policy”. But the legal reform is only the starting point for this case-study. The rituals that are followed in the wedding ceremony are often hard to understand and very difficult to standardize, especially because China is a vast country, densely populated and characterized by several ethnic minorities. Two key words emerge from this issue: syncretism and continuity. On this basis, we can understand tradition in a better way, and analyse whether or not marriage, as every social manifestation, has evolved in harmony with Chinese culture. 6. “The Other Woman in the Portuguese Colonial Empire: The Case of Portuguese India”, Maria de Deus Manso, University of Évora, Portugal. This essay researches the social, cultural and symbolic history of local women in the Portuguese Indian colonial enclaves. The normative Portuguese overseas history has not paid any attention to the “indigenous” female populations in colonial Portuguese territories, albeit the large social importance of these social segments largely used in matrimonial and even catholic missionary strategies. The first attempt to open fresh windows in the history of this new field was the publication of Charles Boxer’s referential study about Women in lberian Overseas Expansion, edited in Portugal only after the Revolution of 1975. After this research we can only quote some other fragmentary efforts. In fact, research about the social, cultural, religious, political and symbolic situation of women in the Portuguese colonial territories, from the XVI to the XX century, is still a minor historiographic field. In this essay we discuss this problem and we study colonial representations of women in the Portuguese Indian enclaves, mainly in the territory of Goa, using case studies methodologies. 7. “Heading East this Time: Critical Readings on Gender in Southeast Asia”, Clara Sarmento, Polytechnic Institute of Porto, Portugal. This essay intends to discuss some critical readings of fictional and theoretical texts on gender condition in Southeast Asian countries. Nowadays, many texts about women in Southeast Asia apply concepts of power in unusual areas. Traditional forms of gender hegemony have been replaced by other powerful, if somewhat more covert, forms. We will discuss some universal values concerning conventional female roles as well as the strategies used to recognize women in political fields traditionally characterized by male dominance. Female empowerment will mean different things at different times in history, as a result of culture, local geography and individual circumstances. Empowerment needs to be perceived as an individual attitude, but it also has to be facilitated at the macro­level by society and the State. Gender is very much at the heart of all these dynamics, strongly related to specificities of historical, cultural, ethnic and class situatedness, requiring an interdisciplinary transnational approach.

Learning objects recommendation in an adaptive educational hypermedia system

The aim of this paper is presenting the modules of the Adaptive Educational Hypermedia System PCMAT, responsible for the recommendation of learning objects. PCMAT is an online collaborative learning platform with a constructivist approach, which assesses the user’s knowledge and presents contents and activities adapted to the characteristics and learning style of students of mathematics in basic schools. The recommendation module and search and retrieval module choose the most adequate learning object, based on the user's characteristics and performance, and in this way contribute to the system’s adaptability.

ß-lactamases in the biochemistry and molecular biology laboratory

β-lactamases are hydrolytic enzymes that inactivate the β-lactam ring of antibiotics such as penicillins and cephalosporins. The major diversity of studies carried out until now have mainly focused on the characterization of β-lactamases recovered among clinical isolates of Gram-positive staphylococci and Gram-negative enterobacteria, amongst others. However, only some studies refer to the detection and development of β-lactamases carriers in healthy humans, sick animals, or even in strains isolated from environmental stocks such as food, water, or soils. Considering this, we proposed a 10-week laboratory programme for the Biochemistry and Molecular Biology laboratory for majors in the health, environmental, and agronomical sciences. During those weeks, students would be dealing with some basic techniques such as DNA extraction, bacterial transformation, polymerase chain reaction (PCR), gel electrophoresis, and the use of several bioinformatics tools. These laboratory exercises would be conducted as a mini research project in which all the classes would be connected with the previous ones. This curriculum was compared in an experiment involving two groups of students from two different majors. The new curriculum, with classes linked together as a mini research project, was taught to a major in Pharmacy and an old curriculum was taught to students from environmental health. The results showed that students who were enrolled in the new curriculum obtained better results in the final exam than the students who were enrolled in the former curriculum. Likewise, these students were found to be more enthusiastic during the laboratory classes than those from the former curriculum.

Transtextualidade na tradução de "Der mann im fahrstuhl / The mann in the elevator"

In an age where Babel has turned into transcultural communication, an interlingual approach – i.e. in English and in French – to the translating process from German to Portuguese appeared pertinent. Aiming at a refinement of the translating competence, this process consists in contrasting different linguistic and literary strategies through an intercultural and multi-etymological perspective. Thus, we settled upon Heiner Müller‘s play Der Auftrag. Erinnerung an eine Revolution (1980), on which the composer Heiner Goebbels has based himself to textually and musically dramatize an excerpt, Der Mann im Farhstuhl / The Man in the Elevator. A transcription of such excerpt in its source language, German, as well as its translation into English (Carl Weber, 1984, Performing Arts Publications, New York) and French (Jean Jourdheuil, Heinz Schwarzinger, Editions Minuit, Paris) can be found in the booklet that accompanies the CD – edited in 1988 by ECD (München: Records GmbH). It should be emphasized that such a creation allows a framing of Müller‘s text into a musical scenography and, therefore, encourages an intersemiotic contrast. This experience enabled us to come up with a unique imagery of Müller‘s piece of writing, by means of its dramatic and musical conversion and, simultaneously, lead us to stretch our textual consciousness to a multitude of intra-, extra- and interlinguistic elements.

PETCHA: a Programming Exercises Teaching Assistant

This paper presents a tool called Petcha that acts as an automated Teaching Assistant in computer programming courses. The ultimate objective of Petcha is to increase the number of programming exercises effectively solved by students. Petcha meets this objective by helping both teachers to author programming exercises and students to solve them. It also coordinates a network of heterogeneous systems, integrating automatic program evaluators, learning management systems, learning object repositories and integrated programming environments. This paper presents the concept and the design of Petcha and sets this tool in a service oriented architecture for managing learning processes based on the automatic evaluation of programming exercises. The paper presents also a case study that validates the use of Petcha and of the proposed architecture.

Cultural Intelligence (CQ) in Erasmus Mundus Students and Alumni: an exploratory study on the levels and antecedents of CQ

Erasmus Mundus Masters (EMM) are programs with a strong component of interculturality. Our study aimed at understanding the level of cultural intelligence (CQ) of EMM students and alumni, as well as some of the characteristics associated with higher levels of CQ. The study included 626 EMM students and alumni from 109 different countries that encompasses 6 continents. Ang and Van Dyne’s (2006) cultural intelligence scale was used; closed and open ended questions were used to describe the sample’s sociodemographic characteristics and experiences regarding interculturality. After validating and assessing the scale’s psychometric properties, relations between different variables were explored using Pearson’s correlation, ANOVA, t Tests, and GLM procedures. We then analysed the open ended responses to gain further insight on our results. Differences among respondents are mainly equated with international experience rather than nationality or training. Respondents’ open ended replies provided us with a deeper insight on why training seems to be so ineffective in developing CQ. This is a transversal study that uses self-reporting measures; also, questionnaires were conducted in English, which was not the mother tongue of most of the respondents. This work is consistent with the CQ literature, however we argue that training mentioned by respondents systematically fails to meet some of literature’s foremost conditions for effective CQ trainings and provide clues for the implementation of more successful initiatives. With an exceptionally diverse sample, this study contributes towards the understanding of mechanisms of developing CQ among EMM and international Students. Results can be useful for selection processes, training/development of CQ and reducing dropout/turnover.

Matemática na hora do conto

Este artigo procura realçar que, através da conexão entre a literatura e a matemática, se podem criar situações em que as crianças abordem conceitos matemáticos de uma forma significativa permitindo que as habilidades matemáticas e as de linguagem se desenvolvam em conjunto. Uma das formas mais significativas de se construir conhecimento matemático é resolver problemas e desafios, tão comuns nos contos infantis. Apresentamos duas situações, que se enquadram nesta perspetiva pedagógica. Em ambas as situações foi usado um conto como ponto de partida para a construção de atividades matemáticas e tendo presente uma visão construtivista do ensino da matemática.

Exploring the long-term associations between adolescents’ music training and academic achievement

There is a positive relationship between learning music and academic achievement, although doubts remain regarding the mechanisms underlying this association. This research analyses the academic performance of music and non-music students from seventh to ninth grade. The study controls for socioeconomic status, intelligence, motivation and prior academic achievement. Data were collected from 110 adolescents at two time points, once when the students were between 11 and 14 years old in the seventh grade, and again 3 years later. Our results show that music students perform better academically than non-music students in the seventh grade (Cohen’s d = 0.88) and in the ninth grade (Cohen’s d = 1.05). This difference is particularly evident in their scores in Portuguese language and natural science; the difference is somewhat weaker in history and geography scores, and is least pronounced in mathematics and English scores (η2 p from .09 to .21). A longitudinal analysis also revealed better academic performance by music students after controlling for prior academic achievement (η2 p = .07). Furthermore, controlling for intelligence, socioeconomic status and motivation did not eliminate the positive association between music learning from the seventh to the ninth grade and students’ academic achievement (η2 p = .06). During the period, music students maintained better and more consistent academic standing. We conclude that, after controlling for intelligence, socioeconomic status and motivation, music training is positively associated with academic achievement.

A interacção oral na sala de aula como desafio ao professor de Língua Estrangeira

O presente relatório foi elaborado no âmbito do estágio de Prática Educativa I, II e III, do curso de 2.º ciclo do Mestrado em Ensino do Inglês e Francês ou Espanhol no Ensino Básico, da Escola Superior de Educação. Ao longo deste relatório reflicto sobre as minhas práticas, incidindo em dois aspectos basilares para a realização deste trabalho: o modo como se processam as estratégias que concorrem para que seja possível promover a interacção oral dos alunos em sala de aula, e consequente desenvolvimento da sua competência comunicativa em língua estrangeira; e a forma como planifiquei actividades assentes em recursos diversificados, nomeadamente, jogos, histórias, flashcards, vídeo, roleplay, canções e debate. De forma a documentar as minhas reflexões, faço uma análise a algumas planificações de aulas em que utilizei os recursos mencionados, incluindo algumas imagens ilustrativas desses momentos. Concluo o relatório tecendo algumas considerações finais sobre o percurso que tracei na qualidade de aluna deste mestrado e de futura professora, reflectindo sobre alguns aspectos que considero relevantes na construção da profissionalidade docente.

Perspetivas interdisciplinares na planificação didática de Línguas e Culturas Estrangeiras

O presente Relatório Final de Estágio concretiza-se num trabalho de reflexão crítica sobre as práticas realizadas como professora estagiária de Inglês e de Espanhol no âmbito das Unidades Curriculares de Prática Educativa I, II e III, do Curso de Mestrado em Ensino de Inglês e Francês ou Espanhol, da Escola Superior de Educação, do Instituto Politécnico do Porto. A problemática que se apresenta decorre da perspetiva de que o ensino e aprendizagem de uma língua estrangeira baseados na articulação entre disciplinas do currículo contribui para uma aprendizagem holística, desenvolvendo competências que permitem um entendimento geral e global dos fenómenos humanos proporcionando aos alunos a compreensão do saber escolar como um todo articulável, contribuindo para uma leitura lógica e completa da realidade. A sua concretização na sala de aula impõe que o professor planifique atividades e opte por estratégias de ensino e de aprendizagem diversificadas, onde convergem finalidades, conceitos e metodologias de diversas disciplinas do currículo. Assim, este trabalho descreve a planificação de práticas de ensino e aprendizagem de Inglês e Espanhol em articulação com os conteúdos e os objetivos da disciplina de Estudo do Meio no Primeiro Ciclo. A planificação de práticas de Inglês no Segundo Ciclo foi realizada em articulação com a disciplina de História e Geografia de Portugal, com base na metodologia de projeto. As opções adotadas na planificação didática são consideradas estratégicas para uma aprendizagem significativa. Palavras-chave: perspetiva interdisciplinar do ensino; planificação didática de línguas estrangeiras; compreensão integrada do saber escolar; aprendizagem por projeto

A área curricular de matemática nos programas educativos individuais

Em acordo com o Dec. Lei nº 3/2008 de 7 de janeiro e para alunos com necessidades educativas especiais a medida currículo específico individual é considerada a mais restritiva de todas as medidas educativas. A área disciplinar da matemática, pela sua aplicabilidade no quotidiano, assume primordial importância no Programa Educativo Individual (PEI) destes alunos. Assim, o presente estudo visa analisar a área curricular de matemática dos PEI de alunos a frequentar o 2º e 3º ciclo de ensino básico ao abrigo da medida educativa currículo específico individual (CEI); visa igualmente constatar que seleção de conteúdos programáticos são percecionados como prioritários para a equipa que elabora o PEI. Em suma, o estudo visa compreender alguns aspetos que, de forma direta ou indireta, interagem com a elaboração do currículo. Tem, ainda, um caráter exploratório e está apoiado numa metodologia de natureza qualitativa e quantitativa (numa dimensão descritiva) que procede à análise documental de excertos (área curricular de matemática) dos Programas Educativos Individuais (PEI). Para o efeito foram analisados 50 PEI que identificaram regularidades relativas aos diferentes conteúdos e à extensão de cada conteúdo. Os resultados evidenciam uma escolha maioritária de conteúdos matemáticos associados ao programa do 1º ano do 1º ciclo do ensino básico e, simultaneamente, de descritores associados aos números e operações. Os resultados permitem extrapolar acerca da interação entre níveis de programação e de funcionalidade dos alunos em CEI e requerem mais estudos que sustentem aquelas evidências e clarifiquem variáveis que interagem na elaboração do currículo.