The authenticity of resources for the teaching of foreign languages and cultures in France: variable geometry notion

International audience

e-Math Workshops : a forum for exchanging experiences of mathematics e-learning at university level

We report here about a series of international workshops on e-learning of mathematics at university level, which have been jointly organized by the three publicly funded open universities in the Iberian Peninsula and which have taken place annually since 2009. The history, achievements and prospects for the future of this initiative will be addressed.

The divine substance as māsūra and muftaraqa. An attempt of reinterpretation of the Trinitarian terminology in the light of the teaching of Abū Rā’iṭa’s al-Risāla fī l-thālūth al-muqaddas

Este artículo trata de la terminología trinitaria de Abū Rā’iṭa contenida en su al-Risāla fi l-thālūth al-muqaddas. Concretamente, se centra en una expresión que simboliza la unidad de la sustancia divina y la multiplicidad de hipóstasis, es decir “māsūra y muftaraqa”. Ofrecemos un intento de reinterpretación del significado de estos términos clave de acuerdo con la comprensión de la doctrina trinitaria de Abū Rā’iṭa.

Processing and additive manufacturing of bones for the teaching of human anatomy

Traditionally, the teaching of human anatomy in health sciences has been based on the use of cadaveric material and bone parts for practical study. The bone materials get deteriorated and hardly mark the points of insertion of muscles. However, the advent of new technologies for 3D printing and creation of 3D anatomical models applied to teaching, has enabled to overcome these problems making teaching more dynamic, realistic and attractive. This paper presents some examples of the construction of three-dimensional models of bone samples, designed using 3D scanners for posterior printing with addition printers or polymer injection printers.

The teaching of reading English in a foreign language in Libyan universities: methods and models

This study focuses on the learning and teaching of Reading in English as a Foreign Language (REFL), in Libya. The study draws on an action research process in which I sought to look critically at students and teachers of English as a Foreign Language (EFL) in Libya as they learned and taught REFL in four Libyan research sites. The Libyan EFL educational system is influenced by two main factors: the method of teaching the Holy-Quran and the long-time ban on teaching EFL by the former Libyan regime under Muammar Gaddafi. Both of these factors have affected the learning and teaching of REFL and I outline these contextual factors in the first chapter of the thesis. This investigation, and the exploration of the challenges that Libyan university students encounter in their REFL, is supported by attention to reading models. These models helped to provide an analytical framework and starting point for understanding the many processes involved in reading for meaning and in reading to satisfy teacher instructions. The theoretical framework I adopted was based, mainly and initially, on top-down, bottom-up, interactive and compensatory interactive models. I drew on these models with a view to understanding whether and how the processes of reading described in the models could be applied to the reading of EFL students and whether these models could help me to better understand what was going on in REFL. The diagnosis stage of the study provided initial data collected from four Libyan research sites with research tools including video-recorded classroom observations, semi-structured interviews with teachers before and after lesson observation, and think-aloud protocols (TAPs) with 24 students (six from each university) in which I examined their REFL reading behaviours and strategies. This stage indicated that the majority of students shared behaviours such as reading aloud, reading each word in the text, articulating the phonemes and syllables of words, or skipping words if they could not pronounce them. Overall this first stage indicated that alternative methods of teaching REFL were needed in order to encourage ‘reading for meaning’ that might be based on strategies related to eventual interactive reading models adapted for REFL. The second phase of this research project was an Intervention Phase involving two team-teaching sessions in one of the four stage one universities. In each session, I worked with the teacher of one group to introduce an alternative method of REFL. This method was based on teaching different reading strategies to encourage the students to work towards an eventual interactive way of reading for meaning. A focus group discussion and TAPs followed the lessons with six students in order to discuss the 'new' method. Next were two video-recorded classroom observations which were followed by an audio-recorded discussion with the teacher about these methods. Finally, I conducted a Skype interview with the class teacher at the end of the semester to discuss any changes he had made in his teaching or had observed in his students' reading with respect to reading behaviour strategies, and reactions and performance of the students as he continued to use the 'new' method. The results of the intervention stage indicate that the teacher, perhaps not surprisingly, can play an important role in adding to students’ knowledge and confidence and in improving their REFL strategies. For example, after the intervention stage, students began to think about the title, and to use their own background knowledge to comprehend the text. The students employed, also, linguistic strategies such as decoding and, above all, the students abandoned the behaviour of reading for pronunciation in favour of reading for meaning. Despite the apparent efficacy of the alternative method, there are, inevitably, limitations related to the small-scale nature of the study and the time I had available to conduct the research. There are challenges, too, related to the students’ first language, the idiosyncrasies of the English language, the teacher training and continuing professional development of teachers, and the continuing political instability of Libya. The students’ lack of vocabulary and their difficulties with grammatical functions such as phrasal and prepositional verbs, forms which do not exist in Arabic, mean that REFL will always be challenging. Given such constraints, the ‘new’ methods I trialled and propose for adoption can only go so far in addressing students’ difficulties in REFL. Overall, the study indicates that the Libyan educational system is underdeveloped and under resourced with respect to REFL. My data indicates that the teacher participants have received little to no professional developmental that could help them improve their teaching in REFL and skills in teaching EFL. These circumstances, along with the perennial problem of large but varying class sizes; student, teacher and assessment expectations; and limited and often poor quality resources, affect the way EFL students learn to read in English. Against this background, the thesis concludes by offering tentative conclusions; reflections on the study, including a discussion of its limitations, and possible recommendations designed to improve REFL learning and teaching in Libyan universities.

Computer and laboratory simulation in the teaching of neonatal nursing: innovation and impact on learning

Objectives: to evaluate the cognitive learning of nursing students in neonatal clinical evaluation from a blended course with the use of computer and laboratory simulation; to compare the cognitive learning of students in a control and experimental group testing the laboratory simulation; and to assess the extracurricular blended course offered on the clinical assessment of preterm infants, according to the students. Method: a quasi-experimental study with 14 Portuguese students, containing pretest, midterm test and post-test. The technologies offered in the course were serious game e-Baby, instructional software of semiology and semiotechnique, and laboratory simulation. Data collection tools developed for this study were used for the course evaluation and characterization of the students. Nonparametric statistics were used: Mann-Whitney and Wilcoxon. Results: the use of validated digital technologies and laboratory simulation demonstrated a statistically significant difference (p = 0.001) in the learning of the participants. The course was evaluated as very satisfactory for them. The laboratory simulation alone did not represent a significant difference in the learning. Conclusions: the cognitive learning of participants increased significantly. The use of technology can be partly responsible for the course success, showing it to be an important teaching tool for innovation and motivation of learning in healthcare.

Problems in physics and mathematics contexts with middle and high school classes: vertical and horizontal comparison

My thesis falls within the framework of physics education and teaching of mathematics. The objective of this report was made possible by using geometrical (in mathematics) and qualitative (in physics) problems. We have prepared four (resp. three) open answer exercises for mathematics (resp. physics). The test batch has been selected across two different school phases: end of the middle school (third year, 8\textsuperscript{th} grade) and beginning of high school (second and third year, 10\textsuperscript{th} and 11\textsuperscript{th} grades respectively). High school students achieved the best results in almost every problem, but 10\textsuperscript{th} grade students got the best overall results. Moreover, a clear tendency to not even try qualitative problems resolution has emerged from the first collection of graphs, regardless of subject and grade. In order to improve students' problem-solving skills, it is worth to invest on vertical learning and spiral curricula. It would make sense to establish a stronger and clearer connection between physics and mathematical knowledge through an interdisciplinary approach.

Avaliação do Processo de Ensino e Aprendizagem em Matemática: contribuições da teoria histórico-cultural

This article presents the results of a study that investigated the meaning of evaluation in mathematics from the historical cultural perspective, focusing on activity theory. In order to develop the investigation, a collaborative group was formed from the Oficina Pedagogica de Matematica de Ribeirao Preto - Sao Paulo (Math Pedagogic Workshop of Ribeirao Preto - OPM/RP), constituted of pre-school teachers and early elementary school teachers, who were participants in this research. The main role of the collaborative group was to offer guided development to the teachers about the teaching of mathematics from the historical-cultural perspective, aiming at collecting data on the process of appropriation of mathematical knowledge by the teachers. The syntheses about the teachers' learning process have contributed to systematize the guiding elements of evaluation in mathematics from the historical-cultural perspective.

Grupos de simetria: identificação de padrões no património açoriano

Dissertação de Mestrado, Matemática para Professores, 3 de Abril de 2014, Universidade dos Açores.

O ensino de matemática em duas escolas profissionalizantes: Brasil e Portugal, no período de 1942 a 1978

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Um caso multimédia na formação inicial: contributos para o conhecimento sobre o ensino exploratório da Matemática

Este artigo tem como foco o uso de casos multimédia na formação inicial de professores e procura analisar o seu contributo para o desenvolvimento do conhecimento didático de futuras professoras acerca do ensino exploratório da Matemática, bem como apreciar as suas perspetivas sobre as mais-valias do caso multimédia utilizado como recurso formativo. Analisam-se questionários e relatórios de treze alunas do Mestrado em Educação Pré-Escolar e Ensino do 1.º Ciclo da Universidade de Évora, que trabalharam sobre um caso multimédia que retrata a prática de ensino de uma professora de 1º ciclo. O caso inclui recursos diversificados, sendo os vídeos de sala de aula complementados com o plano da aula, as resoluções da tarefa pelos alunos, as reflexões da professora sobre a sua prática, um quadro de referência sobre o ensino exploratório da Matemática e artigos teóricos sobre ensino de natureza exploratória da Matemática. As alunas em formação apreciaram conhecer e explorar o caso multimédia, ressaltando a possibilidade de através dele conhecerem uma nova prática real de ensino da Matemática; sublinharam a importância de ouvirem as reflexões da professora para dotar de sentido a respetiva prática, revelando as intenções das suas ações; aprenderam também conhecimentos relevantes para pôr em prática o ensino exploratório, nomeadamente relativos ao conhecimento do processo instrucional, tanto no diz respeito à planificação, como à condução da aula.

O jogo no ensino da matemática : explorações no contexto da educação Pré-escolar e do 1.º ciclo do Ensino Básico

Mestrado (PES II), Educação Pré-Escolar e Ensino do 1.º Ciclo do Ensino Básico, 17 de Junho de 2015, Universidade dos Açores.

Prática de ensino supervisionado no 1.º e 2.º ciclo do ensino básico: a discussão no ensino exploratório da matemática

Relatório de Estágio apresentado à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Ensino do 1.º e do 2.º Ciclo do Ensino Básico

Geometria: um estudo sobre quadriláteros no 4.º ano de escolaridade com recurso ao geoplano e ao GeoGebra

O presente estudo foi desenvolvido no âmbito do Mestrado de Didática da Matemática e Ciências da Natureza, no 1.º e 2.º Ciclos, no domínio da Geometria. Tem como principal objetivo compreender e analisar, através da implementação de uma sequência de tarefas de investigação e exploração, de que forma o processo de ensino e aprendizagem dos alunos, na área dos quadriláteros, com os recursos GeoGebra e o Geoplano, contribui para o desenvolvimento do raciocínio geométrico. Neste sentido, definiram-se as seguintes questões de investigação: (1) Qual a imagem concetual que os alunos possuem de cada um dos quadriláteros? (2) Que conhecimentos têm os alunos sobre as propriedades dos quadriláteros: quadrados, retângulos e losangos? (3) Quais os contributos do Geoplano e do GeoGebra na compreensão e identificação das propriedades dos quadriláteros? A metodologia adotada foi de natureza qualitativa, do tipo interpretativo, baseada em dois estudos de caso. Na recolha de dados, foram utilizados os seguintes instrumentos: observação, questionário, documentos produzidos pelos alunos, entrevistas informais, registos áudio e fotografias aos trabalhos realizados. Na análise dos dados, procurou-se descrever e interpretar os dados recolhidos, no âmbito do objeto do estudo. Os resultados mostraram que a sequência de tarefas e o modo como foram desenvolvidas foram fundamentais na compreensão dos conteúdos trabalhados. Regista-se também que os recursos utilizados motivaram os alunos e contribuíram para a interação, como também para a compreensão dos conceitos geométricos. Por outro lado, a utilização do GeoGebra e do Geoplano contribuíram para o desenvolvimento do raciocínio espacial e geométrico.

Da modelação matemática à simulação computacional: a experimentação matemática no ensino

Tese de Doutoramento em Ciências (área de especialização em Matemática).