Esta pesquisa tem como objetivo investigar os obstáculos à aprendizagem de Álgebra no Ensino Fundamental com o intuito de ajudar na compreensão das dificuldades envolvidas no aprendizado desse tópico. Para tal efeito, foi feito um levantamento da bibliografia relacionada à construção da ideia de obstáculo, erros e dificuldades relativos à aprendizagem de Matemática no Brasil e no exterior. Através desse levantamento, constatou-se que elevados índices de erros cometidos por alunos do Ensino Fundamental em países como a Inglaterra e os Estados Unidos, em problemas matemáticos relacionados à Álgebra, aproximam-se da realidade brasileira, como mostram os dados do último relatório fornecido pelo INEP (Instituto Nacional de Estudos e Pesquisas). Para confirmar esses fatos, foi aplicada uma pesquisa entre os alunos do 9º ano do Ensino Fundamental, da rede pública do estado de São Paulo, com questões adaptadas do SARESP (Sistema de Avaliação do Rendimento Escolar do Estado de São Paulo). Para efeitos de análise, os obstáculos encontrados foram classificados sob a perspectiva de quatro categorias (Epistemológicos, Didáticos, Psicológicos e Ontogenéticos) definidas por Guy Brousseau para o ensino de Matemática. Utilizou-se também o aspecto conceitual do domínio do funcionamento cognitivo do \"sujeito-emsituação\", cujas bases são advindas e ampliadas da teoria piagetiana de operações lógicas e das estruturas gerais do pensamento, conhecida como a Teoria dos Campos Conceituais de Gérard Vergnaud. Esta pesquisa trata do conhecimento-em-ação e sua influência no aprendizado de Álgebra, o que é um teorema-em-ação e uma invariante operatória, além de mostrar o funcionamento dos esquemas. Desta forma, foi possível oferecer alguns indicativos ao professor do que seria necessário para compreender as dificuldades e obstáculos que envolvem o aprendizado de Álgebra e conscientizá-lo de que é relevante um acompanhamento em longo prazo e aprofundado de seus alunos para realmente obter respostas concretas sobre os obstáculos epistemológicos e os aspectos psicológicos envolvidos na aprendizagem, como definidos por Vergnaud (1994). / The aim of this study is to examine obstacles and understand difficulties involved in the learning of Algebra in elementary school. The work consists in a review of the academic production and theoretical studies concerning the construction of the idea of obstacles, difficulties and errors in the learning of Mathematics in Brazil and overseas. The analyses of the studies revealed that a high level of errors made by students in elementary school in some countries, such as England and the United States, on mathematical problems related to Algebra, are close to the Brazilian reality, as shown by the data of the last report provided by INEP (National Institute of Studies and Research). Also an empirical study was applied among students in the 9th grade of elementary school, all from public schools of Sao Paulo. The questions applied in this study have been adapted from SARESP (System for Evaluation of Educational Achievement of Sao Paulo). For analysis purposes, the obstacles encountered were classified from the perspective of four categories (Epistemological, Educational, Psychological and Ontogenetic) defined by Guy Brousseau for teaching mathematics in addition to the conceptual aspect in the field of cognitive functioning of \"subject in a situation\", whose bases are arisen and extended from Piaget\'s theory of logical operations and the general structures of thought, known as Theory of Conceptual Fields (Vergnaud, 1990). This study also treats with knowledge-in-action and their influence on the learning of Algebra, what are theorems-in-action and operative invariants in addition to showing the function of schemes. Thus it was possible to offer some indications for teachers and helping them to understand difficulties and obstacles involving in the learning of Algebra. In addition, it is relevant to keep in mind that a long term and careful tracking of their students must be required. In that way, it is possible to infer answers involving obstacles on the epistemological and psychological aspects, as defined by Vergnaud (1994).

Os conceitos presentes na Física Moderna e Contemporânea (FMC), como aqueles relacionados à estrutura da matéria, rompem com ideias do cotidiano e envolvem fenômenos e entidades que são parte de uma realidade tecnicamente construída e não podem ser percebidos de forma direta pelos sentidos humanos. Seu ensino requer meios representativos, e as simulações computacionais atendem a esta necessidade. Nesta pesquisa, tendo como marco teórico ideias relacionadas ao estudo dos modelos mentais e conceituais, ideias provenientes da epistemologia da ciência de Bachelard, e considerando algumas ideias presentes na teoria das situações didáticas de Brousseau, buscamos identificar obstáculos de aprendizagem que atuam no ensino de conceitos do tópico Estrutura da Matéria em que são utilizadas simulações computacionais. Tendo como pano de fundo um processo iterativo de desenho, implementação e redesenho de um curso sobre a estrutura da matéria e aceleradores de partículas, analisamos a emersão de possíveis obstáculos epistemológicos, e verificamos como obstáculos didático-pedagógicos facilitavam esta emersão. Como resultados, identificamos obstáculos epistemológicos e didático-pedagógicos de diferentes naturezas, entre os quais, alguns relacionados à percepção ingênua de fenômenos do cotidiano, alguns relacionados ao uso de metáforas e imagens, e outros relacionados a um raciocínio limitado e incongruente. Acreditamos que as análises e conclusões desta pesquisa contribuem para uma reflexão sobre o ensino de tópicos de Física Moderna e Contemporânea, e sobre o uso de simulações computacionais como ferramentas pedagógicas. / The concepts of Modern and Contemporary Physics (MCP), such as those related to the structure of matter, break with the everyday ideas and involve phenomena and entities that are part of a reality technically built that cannot be directly perceived by human senses. Its teaching requires representative media, and the computer simulations meet this need. In this research, having as theoretical framework ideas related to the study of mental and conceptual models, ideas from the epistemology of science of Bachelard, and considering some of the ideas present in the theory of didactic situations of Brousseau, we seek to identify learning obstacles who work in teaching concepts of the topic Structure of Matter in which computer simulations are used. Against the backdrop of an iterative process of design, implementing and redesign of a course on the structure of matter and particle accelerators, we analyze the possible emergence of epistemological obstacles, and check how didactic-pedagogical obstacles facilitated this emersion. As a result, we identified epistemological obstacles and didactic-pedagogical obstacles of different nature, including some related to the naive perception of everyday phenomena, some related to the use of metaphors and images, and other related to a limited reasoning and incongruous. We believe that the analysis and conclusions of this research contribute to a reflection on the teaching of Modern and Contemporary Physics topics, and on the use of computer simulations as educational tools.

Submitted by Rosangela Silva (rosangela.silva3@unioeste.br) on 2018-05-09T19:49:03Z No. of bitstreams: 2 Wander Mateus Branco Méíer.pdf: 599611 bytes, checksum: eba201137990f12b24d83bf8524f2dbc (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-05-09T19:49:03Z (GMT). No. of bitstreams: 2 Wander Mateus Branco Méíer.pdf: 599611 bytes, checksum: eba201137990f12b24d83bf8524f2dbc (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2012-07-10 / This work deals with the occurrence of the didactic obstacles in Mathematics' teaching, focusing on the apprenticeship of Rational Numbers, during the 6th grade of Elementary School. Its purpose consists on furnishing subsidies to the pedagogical practice of Mathematics, based on the historical-critical Pedagogy, which considers essential the educational work, which makes possible the appropriation of scientific knowledges in this area, and what, also, supports a conscious social proceeding. The first two chapters seek to support the camp research – which is cleared in third chapter - as a theoretical reference. The first chapter approaches the relationships between the school curriculum and society, considered fundamental to the analysis of the didactic action, because they influence it constantly. The second chapter presents the categories: whole, dialectical mediation, unit theory and practice, and contradiction, which are characterized as the basis of analysis of the didactic action, recorded by camp research. In the same chapter, an outline is made turned to the teaching of Mathematics, more specifically for the teaching of Rational Numbers, in order to fulfill the main objective of this work. The third chapter presents the methodology (subject, material and procedure) of the camp research and analysis of researched data. This is a camp research aimed at analyzing the pedagogical practice used by teachers of 6th grade, while introducing the concept of Rational Numbers, content that will constitute the basis for learning most of the other contents of the subsequent grades, in which, by its complexity, possible epistemological and didactic obstacles were searched. The camp research was conducted during the school year 2011, with two colleges of Public School System, in urban area of Cascavel. From the ensemble of collected data, with bases on the categories presented in first and second chapters, were extracted the elements for the analysis, without considering the chronology of events, and yes, their similarity, since the Annex 1: transcript of filmed lectures, presents wholly the same data. The camp research allowed to subsidize the educational work related to Rational Numbers, and its purpose was to emphasize about the obstacles originated from the didactic action itself, which can lead to epistemological obstacles. Finally, some considerations make the junction between the three chapters, linking the various relationships among didactic action, curriculum, historical-critical pedagogy, and society. / Este trabalho trata da ocorrência dos obstáculos didáticos no ensino da disciplina de Matemática, com enfoque no ensino dos Números Racionais, no 6º ano do Ensino Fundamental. Seu objetivo é dar subsídios à prática pedagógica da matemática, fundamentados na pedagogia histórico-crítica, a qual considera essencial o trabalho pedagógico que possibilite a apropriação dos conhecimentos científicos na área, favorecendo uma ação social consciente. As duas primeiras seções procuram subsidiar a pesquisa de campo, explicitadas na terceira seção, como referencial teórico. A primeira seção aborda as relações existentes entre o currículo escolar e a sociedade, consideradas essenciais para a análise da ação didática, por influenciarem-na constantemente. A segunda apresenta as categorias: totalidade, mediação dialética, unidade teoria e prática e contradição, que se caracterizam como base para análise da ação didática registrada pela pesquisa de campo. Ainda nesta seção, realiza-se um recorte voltado ao ensino da matemática, mais especificamente para o ensino dos números racionais, no intuito de cumprir com o objetivo principal do trabalho. A terceira seção apresenta a Metodologia – sujeitos, material utilizado e procedimento – da pesquisa de campo e a análise dos dados da pesquisa. Trata-se de uma pesquisa de campo objetivando analisar a prática pedagógica utilizada por professores de 6º ano do Ensino Fundamental, durante a introdução do conceito dos Números Racionais, conteúdo que se constituirá como base para o aprendizado da maioria dos demais conteúdos das séries subsequentes, no qual, pela sua complexidade, buscaram-se possíveis obstáculos didáticos e epistemológicos. A pesquisa de campo foi realizada durante o ano letivo de 2011, em dois colégios da rede pública de ensino da área urbana do município de Cascavel. Do conjunto de dados coletados, com base nas categorias apresentadas nas seções 1 e 2, extraíram-se os elementos para análise, sem considerar a cronologia dos fatos, mas sim sua similaridade, uma vez que o Anexo 1: Transcrição das aulas filmadas, apresenta os mesmos dados na íntegra. A pesquisa de campo objetivou analisar o trabalho pedagógico com os Números Racionais e visou ressaltar os obstáculos provenientes da própria ação didática, os quais podem provocar Obstáculos Epistemológicos. Por fim, algumas considerações fazem a junção entre as três seções, vinculando as diversas relações entre a ação didática, o currículo, a Pedagogia Histórico-Crítica e a sociedade.

L'une des tâches les plus importantes en robotique mobile est la détection d'obstacles pendant les déplacements du robot. Pour résoudre cette tâche, de nombreuses approches ont été proposées; cependant les propositions applicables dans un milieu structuré, dynamique et fortement encombré du fait de la présence humaine, sont limitées. Dans ce cadre, nous présentons dans ces travaux un système visuel reprogrammable dédié à la détection d'obstacles. Le système est composé de plusieurs micro-caméras disposées autour du robot mobile et d'un système reprogrammable. Le nombre de micro-caméras est grand (4 dans la version courante, 8 dans la version finale) et la performance en temps réel requis dans ce contexte, ne peut pas être satisfaite par un processeur standard. Cela rend obligatoire la conception et la mise en oeuvre d'une architecture dédiée pour le traitement des images. Le parallélisme fourni par les FPGAs permet de répondre aux contraintes de performance et de minimiser l'énergie et le coût unitaire du système. L'objectif est de construire et mettre à jour une grille d'occupation robot-centrée lors de la navigation du robot. Cette opération doit être exécutée à 30Hz, afin de réduire la latence entre l'acquisition des images et la détection des obstacles. La détection des zones du sol occupées est faite par l'algorithme de classification AdaBoost en utilisant un vecteur d'attributs. Les attributs utilisés sont la couleur et la texture. Pour la couleur, nous utilisons l'espace de couleur CIE-Lab, car cela permet d'avoir une plus grande immunité au changement de l'éclairage. Les attributs de texture sont obtenues par une méthode adaptée de la technique des histogrammes de sommes et différences. Cette adaptation réduit considérablement les ressources nécessaires pour calculer les attributs de texture, tout en fournissant un modèle riche de chacun des objets présents dans une scène acquise par une des micro-caméras. Chaque pixel dans l'image est classifié pour savoir s'il appartient ou pas au sol, en fonction de ces attributs couleur-texture. Une fois le pixel classé, il est projeté sur le plan du sol pour enrichir la grille d'occupation courante de l'environnement. Plusieurs paramètres de notre approche ont été sélectionnés afin de développer un système avec le meilleur compromis entre les performances et les ressources consommées. Les graphiques de performances de la classification ainsi que les ressources consommées par les architectures implantées sont présentés. Les architectures ont été développées en VHDL avec les outils Altera; des comparaisons sont présentées avec une approche fondée sur des outils de synthèse haut-niveau (Gaut, labview...). Finalement ces architectures ont été portées et évaluées sur un kit Stratix3 connecté à 4 caméras et embarqué sur un robot mobile. / One of the more important tasks to be executed on a mobile robot, concerns thedetection of obstacles during the robot motions. Many methods have been proposed for this function: nevertheless their performances are limited when applied in a structured environment made highly dynamic and cluttered due to humans. This document presents a visual and flexible system for obstacle detection in such an environment. The system is made of several micro-cameras fixed all around the robot body, and of a programmable electronic board. The camera number must be large enough (4 in the current version, 8 in the future one), so that real-time performances mandatory for such a function, cannot be reached from a standard multipurpose processor. It makes compulsory to design and to implement a hardware architecture devoted for image processing. The execution of parallel processes on FPGAs allows to reach real-time performances, while minimizing the required energy and the system cost. The system objective consists in building and updating a robot-centered occupancy grid while the robot is navigating. This function must be executed at 30Hz, in order to minimize the latency between image acquisition and obstacle detection.The detection of occupied ground areas is given by a classification algorithm, using an AdaBoost classifier on characteristic vectors. These vectors are built from color and texture attributes. For the color, the CIE-Lab space has been selected because it allows a better invariance according to the light variations. For the texture, an original method has been proposed adapting the Unser approach based on sum and difference histograms. This approach has been modified in order to reduce significantly the resources required to compute the texture attributes, while providing a fine model for every object detected on a scene acquired by each micro-camera. Each pixel in every image is classified as Ground or Obstacle, with respect to its color and texture attributes. Once a pixel is classified, it is projected on the ground plane in order to update the current occupancy grid built to represent the environment. Many parameters for our approach have been selected in order to develop a system with the better trade-off between performances and consumed resources. Every proposed architecture is evaluated using curves between classification performances and required resources. These architectures have been developed in VHDL using the Altera tool boxes; this classical approach has been compared with a method based on tools providing high level synthesis (Gaut, labview...). Finally all architectures avec been implemented and evaluated on a Stratix3 development kit connected to four cameras, and embedded on a mobile robot.

Les psychologues québécois sont de plus en plus amenés à intervenir auprès d'une clientèle de diverses origines ethniques, notamment dans la métropole que constitue la grande région montréalaise. Ceux-ci se trouvent ainsi souvent à adapter leurs interventions en fonction de divers cadres de référence culturels. Dans un contexte de psychothérapie interculturelle, les difficultés provenant des différences culturelles du psychothérapeute et du client d'origine ethnique différente peuvent entraver la qualité de la relation thérapeutique et, par conséquent, nuire à l'efficacité du processus thérapeutique. La connaissance de la perspective des professionnels est donc importante afin d'améliorer la qualité des interventions offertes à de tels clients. Ainsi, l'objectif général de la présente étude est de mettre en évidence et de mieux comprendre le vécu expérientiel de psychologues en lien avec l'alliance thérapeutique en contexte de psychothérapie interculturelle, et ce, par la voie d'une recherche qualitative. Aussi, de façon plus spécifique, les objectifs de cette recherche sont d'explorer l'expérience de psychologues québécois qui reçoivent des clients d'une origine ethnique différente de la leur, notamment de façon à: 1) en cerner les particularités; 2) relever les facteurs liés à la diversité culturelle qui peuvent nuire à l'établissement et au maintien de l'alliance thérapeutique; 3) identifier les stratégies adaptatives qu'adoptent ces psychologues pour contrer les obstacles à l'alliance thérapeutique liés à la différence culturelle. À cette fin, 8 psychologues québécois, pratiquant la psychothérapie interculturelle de type individuel avec une clientèle adulte dans la grande région de Montréal, ont été rencontrés dans le cadre d'entrevues individuelles semi-structurées. Une analyse thématique des données recueillies a permis de cerner différents aspects signifiants dans la relation thérapeutique interculturelle, lesquels sont classés en six grandes catégories: 1) la perception du psychologue de la relation thérapeutique avec un client d'origine ethnique différente; 2) la perception du psychologue de son rôle en tant que professionnel; 3) les contributions du client et du psychologue à l'alliance thérapeutique en contexte de psychothérapie interculturelle; 4) les obstacles à l'alliance thérapeutique; 5) les stratégies adaptatives du psychologue pour contrer les obstacles à l'alliance thérapeutique; 6) les aspects positifs rencontrés par le psychologue dans l'expérience de la relation psychologue-client en intervention interculturelle. Un cadre d'analyse psychodynamique permet d'exposer les transferts et contre-transferts personnels et culturels qui influencent la relation thérapeutique interculturelle. Malgré certaines limites méthodologiques, tel le nombre restreint de l'échantillon ou certains inhibiteurs affectant la capacité des participants à relater leur expérience, les propos recueillis tracent un portrait riche des enjeux qui peuvent affecter l'établissement et le maintien de l'alliance thérapeutique en contexte interculturel. Plusieurs avenues de recherche sont suggérées, à la lumière de la présente étude.

The establishment of functional parental-involvement in preschools has become a larger and more complex area since the Swedish curriculum was revised in 2010. Parental involvement is important, not only as an incentive for the individual child’s development, but also regarding a democratic perspective of parent participation. The diversity of parents makes overall strategic governmental efforts to enable parental-involvement ineffective and each preschool must handle the heterogeneous parental group in their area. Parents who lack the knowledge of Swedish are more likely to be excluded from strategic parental-involvement efforts in preschools, which made us curious to inquire into efforts that aim to include non-Swedish-speaking parents. Through interviews with preschool teachers and managers we aimed to discover discourse orientated patterns in discussions regarding non-Swedish speaking-parents overall and look into which methods and aspects teachers found critical in constructing functional parental-involvement with this specific group. We executed a discourse-orientated analyze on our findings and relate it to methods mentioned by teachers to see how they impact each other. We found that teachers describe the group issued in ways of both similarities with the general group of parents and at the same time as distinctive characters with unique needs and therefor organized their parental-involvement efforts accordingly.

Undersökningens syfte är att undersöka hur lärare med en-till-en surfplattor har påverkats i sin matematikundervisning i årskurserna 1-3. Ett ytterligare syfte är också att visa vilka hinder och möjligheter som de upplever med surfplattor. Den empiriska utgångspunkten har varit kvalitativa intervjuer med åtta verksamma lärare i matematikämnet som har tillgång till en-till-en undervisning. Ruthvens (2009; 2013) studie har använts som ramverk för denna studie. Resultatet visar att lärarna har påverkats i sin undervisning av surfplattorna avseende faktorer som färdighetsträning, motivation, individualisering, variation av undervisningen, kunskapsöversikt samt i uppläsningen av uppgifter. De upplevde vid införandet såväl som i det dagliga arbetet både hinder och möjligheter. Framförallt tog införandet tid medan flera av respondenterna uppger att det dagliga arbetet efter ett tag underlättades och mer tid kunde avsättas till att möta eleverna på deras kunskapsnivå. / The purpose of the research is to examine how 1:1 with tablets have affected teachers’ teaching in mathematics in grade 1-3. Another purpose with the research is to demonstrate what possibilities and obstacles may occur with tablets according to participants in the study. The empirical data collection method is qualitative interviews conducted with eight active teachers with access to one-to-one education. Ruthvens (2009; 2013) studies have been used as framework for the research. The results show that teachers have been affected in their teaching with tablets in such ways as increased motivation, skill training in mathematics, individualization, variety of teaching, overview of students’ knowledge and the ability to listen to tasks and overcoming difficulties such as reading and writing. With the introduction of 1:1 the teachers experienced both obstacles and possibilities in their teaching. Especially the obstacle concerning the time it took to implement. The teachers state that the daily work was facilitated after some time and they could spend more time teaching children at their level of knowledge.

L’association entre le déclin fonctionnel et l’hospitalisation de la personne âgée est un phénomène iatrogène reconnu. Les causes du déclin fonctionnel sont multiples, mais le syndrome d’immobilisation représente l’un des deux principaux syndromes cliniques rencontrés chez la personne âgée hospitalisée menant au déclin fonctionnel, le délirium étant l’autre. Force est de constater que des changements importants au plan des pratiques non adaptées aux particularités du vieillissement de la clientèle doivent être apportés. Afin de soutenir les établissements de santé, le ministère de la Santé et des Services sociaux (MSSS du Québec) rendait accessible, en 2011, un cadre de référence pour une approche adaptée à la personne âgée en milieu hospitalier. Cependant, il appartient à chaque établissement de développer les activités de formation continue et de définir des stratégies efficaces qui faciliteront une modification des pratiques dans leur milieu. Cette étude avait pour but d’estimer l’effet d’une activité de formation continue contenant un volet de coaching portant sur le syndrome d’immobilisation auprès des infirmières et infirmiers oeuvrant auprès d’une clientèle âgée en 1) identifiant et comparant les connaissances théoriques et procédurales avant et après l’activité de formation continue dans le groupe expérimental et le groupe témoin, 2) en évaluant et en comparant les pratiques des infirmières et infirmiers sur le syndrome d’immobilisation, plus précisément dans les notes d’évolution, au kardex et au plan thérapeutique infirmier (PTI), avant et après la formation continue dans le groupe expérimental et le groupe témoin, 3) en évaluant la satisfaction des personnes participantes en regard de l’activité de formation continue à l’aide d’un questionnaire dans le groupe expérimental. En conclusion, les connaissances et les pratiques des personnes participantes du groupe expérimental n’ont pas augmenté à la suite d’une activité de formation continue sur le syndrome d’immobilisation incluant un coaching individualisé dans le groupe expérimental au plan des moyennes des scores intra groupe et entre les groupes.

Public education is a cornerstone of our democracy and social advancement. However, current Vermont graduation rates would indicate that public education at the high school level does not address the needs of all twenty-first century learners. Research has revealed that personalization and creating a connected environment are promising innovations for improving education for all students. One structure that supports personalization, high school advisory, provides each student with an adult advisor that knows them well through their high school years. This research on high school advisory in Vermont was divided in two phases: 1) an assessment of the current state of advisory in all Vermont public high schools, and 2) a qualitative study that focused on the perceptions of students, advisors and administrators in 4 Vermont high schools with established advisory programs. In the second phase, a phenomenological framework was used to examine the perceptions of how advisory impacted academics, connectedness and the personalization of the high school experience. Document review, focus forum groups and interviews with the sixteen students, eight advisors and four administrators were conducted over a six-month period. Findings demonstrated that 53 out of 62 high schools in Vermont had some form of advisory program. In the study of four schools, over two-thirds of the students perceived that their high school advisory positively impacted their academic achievement. Advisors and administrators were less clear about the impact, however. Furthermore student-to-student connectedness was described positively by three-quarters of the students. The connection between advisory and personalization of education was the least clear both among students and advisors. All administrators and three-quarters of the advisors felt that in the future, personalization would become an integral part of the advisory program with the advent of Vermont Act 77, the 2013 legislation that mandates personalized learning plans and multiple pathways to graduation. Finally, there was considerable agreement in three schools that a significant roadblock to implementing effective advisories was a lack of support for advisory in the following areas: purpose, time, training and materials.

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.