Viva@Matemática project: a different way to see math

Viva@Mat is a project developed by four Math teachers from the School of Industrial Studies and Management (ESEIG) that was born with the fundamental objective of engaging ESEIG students with different math backgrounds in Math challenging activities. Some of these activities were transformed into real palpable materials and others into small interactive ones, being the great majority of them proposed by ESEIG’ students themselves. This small project rapidly grew into something we didn’t expect – it did flow over the walls of our institution to the general involving community – specifically to pre-university schools through the Viva@Math Exhibits – Orange, Blue and Green (the fourth, the Purple one is still in development). Nowadays, Viva@Math Exhibits – the public face of the Project – are itinerant and have been travelling between several, and different institutions (pre-university schools, preparatory schools, libraries, among others), around ESEIG and IPP area of influence and having registered visitors/participants of all ages. In this article we will describe the Viva@Math Project, its different activities that are categorized in some “great groups” like Numerical Trivia, Logic Activities and Mental Calculation, Puzzles, Geometric Curiosities, Magic Tricks, among others, designed to challenge students to use the underlying logical-mathematical reasoning to any ordinary and everyday activity. We will give specific and concrete examples of some of the activities developed and, also, reproduce of the general stimulating feedback the Project receives from the enrolled “actors” (teachers, students and their relatives, institutions, among others). We feel that this Project has become a small “bridge” between the pre-university schools and Higher Education Institutions (HEI), in trying to shorten the “gap” between the institutions of different levels of education and bring them to work together.

Problem solving and computer-assisted instruction in science education : analysis of research findings and the research process /

The quantitative component of this study examined the effect of computerassisted instruction (CAI) on science problem-solving performance, as well as the significance of logical reasoning ability to this relationship. I had the dual role of researcher and teacher, as I conducted the study with 84 grade seven students to whom I simultaneously taught science on a rotary-basis. A two-treatment research design using this sample of convenience allowed for a comparison between the problem-solving performance of a CAI treatment group (n = 46) versus a laboratory-based control group (n = 38). Science problem-solving performance was measured by a pretest and posttest that I developed for this study. The validity of these tests was addressed through critical discussions with faculty members, colleagues, as well as through feedback gained in a pilot study. High reliability was revealed between the pretest and the posttest; in this way, students who tended to score high on the pretest also tended to score high on the posttest. Interrater reliability was found to be high for 30 randomly-selected test responses which were scored independently by two raters (i.e., myself and my faculty advisor). Results indicated that the form of computer-assisted instruction (CAI) used in this study did not significantly improve students' problem-solving performance. Logical reasoning ability was measured by an abbreviated version of the Group Assessment of Lx)gical Thinking (GALT). Logical reasoning ability was found to be correlated to problem-solving performance in that, students with high logical reasoning ability tended to do better on the problem-solving tests and vice versa. However, no significant difference was observed in problem-solving improvement, in the laboratory-based instruction group versus the CAI group, for students varying in level of logical reasoning ability.Insignificant trends were noted in results obtained from students of high logical reasoning ability, but require further study. It was acknowledged that conclusions drawn from the quantitative component of this study were limited, as further modifications of the tests were recommended, as well as the use of a larger sample size. The purpose of the qualitative component of the study was to provide a detailed description ofmy thesis research process as a Brock University Master of Education student. My research journal notes served as the data base for open coding analysis. This analysis revealed six main themes which best described my research experience: research interests, practical considerations, research design, research analysis, development of the problem-solving tests, and scoring scheme development. These important areas ofmy thesis research experience were recounted in the form of a personal narrative. It was noted that the research process was a form of problem solving in itself, as I made use of several problem-solving strategies to achieve desired thesis outcomes.

Amorçage cognitif pour amélioration de l’acquisition de la connaissance dans un système tutoriel intelligent

Cette thèse vise à définir une nouvelle méthode d’enseignement pour les systèmes tutoriels intelligents dans le but d’améliorer l’acquisition des connaissances. L’apprentissage est un phénomène complexe faisant intervenir des mécanismes émotionnels et cognitifs de nature consciente et inconsciente. Nous nous intéressons à mieux comprendre les mécanismes inconscients du raisonnement lors de l’acquisition des connaissances. L’importance de ces processus inconscients pour le raisonnement est bien documentée en neurosciences, mais demeure encore largement inexplorée dans notre domaine de recherche. Dans cette thèse, nous proposons la mise en place d’une nouvelle approche pédagogique dans le domaine de l’éducation implémentant une taxonomie neuroscientifique de la perception humaine. Nous montrons que cette nouvelle approche agit sur le raisonnement et, à tour de rôle, améliore l’apprentissage général et l’induction de la connaissance dans un environnement de résolution de problème. Dans une première partie, nous présentons l’implémentation de notre nouvelle méthode dans un système tutoriel visant à améliorer le raisonnement pour un meilleur apprentissage. De plus, compte tenu de l’importance des mécanismes émotionnels dans l’apprentissage, nous avons également procédé dans cette partie à la mesure des émotions par des capteurs physiologiques. L’efficacité de notre méthode pour l’apprentissage et son impact positif observé sur les émotions a été validée sur trente et un participants. Dans une seconde partie, nous allons plus loin dans notre recherche en adaptant notre méthode visant à améliorer le raisonnement pour une meilleure induction de la connaissance. L’induction est un type de raisonnement qui permet de construire des règles générales à partir d’exemples spécifiques ou de faits particuliers. Afin de mieux comprendre l’impact de notre méthode sur les processus cognitifs impliqués dans ce type de raisonnement, nous avons eu recours à des capteurs cérébraux pour mesurer l’activité du cerveau des utilisateurs. La validation de notre approche réalisée sur quarante-trois volontaires montre l’efficacité de notre méthode pour l’induction de la connaissance et la viabilité de mesurer le raisonnement par des mesures cérébrales suite à l’application appropriée d’algorithmes de traitement de signal. Suite à ces deux parties, nous clorons la thèse par une discussion applicative en décrivant la mise en place d’un nouveau système tutoriel intelligent intégrant les résultats de nos travaux.

Étude des conceptions alternatives et des processus de raisonnement des étudiants de chimie du niveau collégial sur la molécule, la polarité et les phénomènes macroscopiques

La chimie est un sujet difficile étant donné ses concepts nombreux et souvent peu intuitifs. Mais au-delà de ces difficultés d’ordre épistémologique, l’apprentissage de la chimie peut être en péril lorsqu’il s’appuie sur des fondations instables, mêlées de conceptions alternatives. Les conceptions alternatives sont les représentations internes, tacites, des étudiants, qui sont en désaccord avec la théorie scientifiquement acceptée. Leur présence dans leur esprit peut nuire à la compréhension conceptuelle, et elle peut mener les étudiants à expliquer le comportement de la matière incorrectement et à faire des prédictions inexactes en chimie. Les conceptions alternatives sont réputées répandues et difficiles à repérer dans un cadre traditionnel d’enseignement. De nombreuses conceptions alternatives en chimie ont été mises en lumière par différents groupes de chercheurs internationaux, sans toutefois qu’une telle opération n’ait jamais été réalisée avec des étudiants collégiaux québécois. Le système d’éducation postsecondaire québécois représentant un contexte unique, une étude des difficultés particulières de ces étudiants était nécessaire pour tracer un portrait juste de la situation. De plus, des chercheurs proposent aujourd’hui de ne pas faire uniquement l’inventaire des conceptions, mais de s’attarder aussi à étudier comment, par quel processus, elles mènent à de mauvaises prédictions ou explications. En effet, ils soutiennent que les catalogues de conceptions ne peuvent pas être facilement utilisés par les enseignants, ce qui devrait pourtant être la raison pour les mettre en lumière : qu’elles soient prises en compte dans l’enseignement. Toutefois, aucune typologie satisfaisante des raisonnements et des conceptions alternatives en chimie, qui serait appuyée sur des résultats expérimentaux, n’existe actuellement dans les écrits de recherche. Plusieurs chercheurs en didactique de la chimie suggèrent qu’une telle typologie est nécessaire et devrait rendre explicites les modes de raisonnement qui mettent en jeu ces conceptions alternatives. L’explicitation du raisonnement employé par les étudiants serait ainsi la voie permettant de repérer la conception alternative sur laquelle ce raisonnement s’appuie. Le raisonnement est le passage des idées tacites aux réponses manifestes. Ce ne sont pas toutes les mauvaises réponses en chimie qui proviennent de conceptions alternatives : certaines proviennent d’un manque de connaissances, d’autres d’un agencement incorrect de concepts pourtant corrects. Comme toutes les sortes de mauvaises réponses d’étudiants sont problématiques lors de l’enseignement, il est pertinent de toutes les considérer. Ainsi, ces préoccupations ont inspiré la question de recherche suivante : Quelles conceptions alternatives et quels processus de raisonnement mènent les étudiants à faire de mauvaises prédictions en chimie ou à donner de mauvaises explications du comportement de la matière? C’est pour fournir une réponse à cette question que cette recherche doctorale a été menée. Au total, 2413 étudiants ont participé à la recherche, qui était divisée en trois phases : la phase préliminaire, la phase pilote et la phase principale. Des entrevues cliniques ont été menées à la phase préliminaire, pour explorer les conceptions alternatives des étudiants en chimie. Lors de la phase pilote, des questionnaires à choix multiples avec justification ouverte des réponses ont été utilisés pour délimiter le sujet, notamment à propos des notions de chimie les plus pertinentes sur lesquelles concentrer la recherche et pour mettre en lumière les façons de raisonner des étudiants à propos de ces notions. La phase principale, quant à elle, a utilisé le questionnaire à deux paliers à choix multiples « Molécules, polarité et phénomènes » (MPP) développé spécifiquement pour cette recherche. Ce questionnaire a été distribué aux étudiants via une adaptation de la plateforme Web ConSOL, développée durant la recherche par le groupe de recherche dont fait partie la chercheuse principale. Les résultats montrent que les étudiants de sciences de la nature ont de nombreuses conceptions alternatives et autres difficultés conceptuelles, certaines étant très répandues parmi leur population. En particulier, une forte proportion d’étudiants croient que l’évaporation d’un composé entraîne le bris des liaisons covalentes de ses molécules (61,1 %), que tout regroupement d’atomes est une molécule (78,9 %) et que les atomes ont des propriétés macroscopiques pareilles à celles de l’élément qu’ils constituent (66,0 %). D’un autre côté, ce ne sont pas toutes les mauvaises réponses au MPP qui montrent des conceptions alternatives. Certaines d’entre elles s’expliquent plutôt par une carence dans les connaissances antérieures (par exemple, lorsque les étudiants montrent une méconnaissance d’éléments chimiques communs, à 21,8 %) ou par un raisonnement logique incomplet (lorsqu’ils croient que le seul fait de posséder des liaisons polaires rend nécessairement une molécule polaire, ce qu’on observe chez 24,1 % d’entre eux). Les conceptions alternatives et les raisonnements qui mènent à des réponses incorrectes s’observent chez les étudiants de première année et chez ceux de deuxième année du programme de sciences, dans certains cas avec une fréquence diminuant entre les deux années, et dans d’autres, à la même fréquence chez les deux sous-populations. Ces résultats permettent de mitiger l’affirmation, généralement reconnue dans les écrits de recherche, selon laquelle les conceptions alternatives sont résistantes à l’enseignement traditionnel : selon les résultats de la présente recherche, certaines d’entre elles semblent en effet se résoudre à travers un tel contexte d’enseignement. Il demeure que plusieurs conceptions alternatives, carences dans les connaissances antérieures de base et erreurs de raisonnement ont été mises en lumière par cette recherche. Ces problèmes dans l’apprentissage mènent les étudiants collégiaux à faire des prédictions incorrectes du comportement de la matière, ou à expliquer ce comportement de façon incorrecte. Au regard de ces résultats, une réflexion sur l’enseignement de la chimie au niveau collégial, qui pourrait faire une plus grande place à la réflexion conceptuelle et à l’utilisation du raisonnement pour la prédiction et l’explication des phénomènes étudiés, serait pertinente à tenir.

O portefólio como instrumento de reflexão na disciplina de desenho A do Ensino Secundário

A temática apresentada é resultante da prática de ensino supervisionada no Ensino Secundário em Artes Visuais e tem como finalidade aprofundar questões que envolvem a autorregulação das aprendizagens para o desenvolvimento do pensamento reflexivo dos alunos. A importância do paradigma reflexivo está cada vez mais presente nas práticas educativas dos nossos tempos, remetendo para um novo conceito de ensino e de avaliação no processo de ensino-aprendizagem, de acordo com um ensino cada vez mais centrado no aluno. Seguindo a intemporalidade do pensamento freireano são desenvolvidas práticas de avaliação tendo por base a integração do portefólio como instrumento de aprendizagem progressiva para a prática reflexiva dos alunos na disciplina de Desenho A. Este projeto de investigação participativa pretende analisar informações qualitativas e quantitativas de forma a reconhecer o contributo e o benefício da dimensão reflexiva ao longo do processo de ensino-aprendizagem no desenvolvimento pessoal e cognitivo do aluno.

Distributed intelligent management of active networks

This paper focuses on improving computer network management by the adoption of artificial intelligence techniques. A logical inference system has being devised to enable automated isolation, diagnosis, and even repair of network problems, thus enhancing the reliability, performance, and security of networks. We propose a distributed multi-agent architecture for network management, where a logical reasoner acts as an external managing entity capable of directing, coordinating, and stimulating actions in an active management architecture. The active networks technology represents the lower level layer which makes possible the deployment of code which implement teleo-reactive agents, distributed across the whole network. We adopt the Situation Calculus to define a network model and the Reactive Golog language to implement the logical reasoner. An active network management architecture is used by the reasoner to inject and execute operational tasks in the network. The integrated system collects the advantages coming from logical reasoning and network programmability, and provides a powerful system capable of performing high-level management tasks in order to deal with network fault.

Evidence Algorithm and Processing Formalized Mathematical Texts

The goal of a research programme Evidence Algorithm is a development of an open system of automated proving that is able to accumulate mathematical knowledge and to prove theorems in a context of a self-contained mathematical text. By now, the first version of such a system called a System for Automated Deduction, SAD, is implemented in software. The system SAD possesses the following main features: mathematical texts are formalized using a specific formal language that is close to a natural language of mathematical publications; a proof search is based on special sequent-type calculi formalizing natural reasoning style, such as application of definitions and auxiliary propositions. These calculi also admit a separation of equality handling from deduction that gives an opportunity to integrate logical reasoning with symbolic calculation.

Instructional strategies integrating cognitive style construct : a meta-knowledge processing model

The overarching goal of this dissertation was to evaluate the contextual components of instructional strategies for the acquisition of complex programming concepts. A meta-knowledge processing model is proposed, on the basis of the research findings, thereby facilitating the selection of media treatment for electronic courseware. When implemented, this model extends the work of Smith (1998), as a front-end methodology, for his glass-box interpreter called Bradman, for teaching novice programmers. Technology now provides the means to produce individualized instructional packages with relative ease. Multimedia and Web courseware development accentuate a highly graphical (or visual) approach to instructional formats. Typically, little consideration is given to the effectiveness of screen-based visual stimuli, and curiously, students are expected to be visually literate, despite the complexity of human-computer interaction. Visual literacy is much harder for some people to acquire than for others! (see Chapter Four: Conditions-of-the-Learner) An innovative research programme was devised to investigate the interactive effect of instructional strategies, enhanced with text-plus-textual metaphors or text-plus-graphical metaphors, and cognitive style, on the acquisition of a special category of abstract (process) programming concept. This type of concept was chosen to focus on the role of analogic knowledge involved in computer programming. The results are discussed within the context of the internal/external exchange process, drawing on Ritchey's (1980) concepts of within-item and between-item encoding elaborations. The methodology developed for the doctoral project integrates earlier research knowledge in a novel, interdisciplinary, conceptual framework, including: from instructional science in the USA, for the concept learning models; British cognitive psychology and human memory research, for defining the cognitive style construct; and Australian educational research, to provide the measurement tools for instructional outcomes. The experimental design consisted of a screening test to determine cognitive style, a pretest to determine prior domain knowledge in abstract programming knowledge elements, the instruction period, and a post-test to measure improved performance. This research design provides a three-level discovery process to articulate: 1) the fusion of strategic knowledge required by the novice learner for dealing with contexts within instructional strategies 2) acquisition of knowledge using measurable instructional outcome and learner characteristics 3) knowledge of the innate environmental factors which influence the instructional outcomes This research has successfully identified the interactive effect of instructional strategy, within an individual's cognitive style construct, in their acquisition of complex programming concepts. However, the significance of the three-level discovery process lies in the scope of the methodology to inform the design of a meta-knowledge processing model for instructional science. Firstly, the British cognitive style testing procedure, is a low cost, user friendly, computer application that effectively measures an individual's position on the two cognitive style continua (Riding & Cheema,1991). Secondly, the QUEST Interactive Test Analysis System (Izard,1995), allows for a probabilistic determination of an individual's knowledge level, relative to other participants, and relative to test-item difficulties. Test-items can be related to skill levels, and consequently, can be used by instructional scientists to measure knowledge acquisition. Finally, an Effect Size Analysis (Cohen,1977) allows for a direct comparison between treatment groups, giving a statistical measurement of how large an effect the independent variables have on the dependent outcomes. Combined with QUEST's hierarchical positioning of participants, this tool can assist in identifying preferred learning conditions for the evaluation of treatment groups. By combining these three assessment analysis tools into instructional research, a computerized learning shell, customised for individuals' cognitive constructs can be created (McKay & Garner,1999). While this approach has widespread application, individual researchers/trainers would nonetheless, need to validate with an extensive pilot study programme (McKay,1999a; McKay,1999b), the interactive effects within their specific learning domain. Furthermore, the instructional material does not need to be limited to a textual/graphical comparison, but could be applied to any two or more instructional treatments of any kind. For instance: a structured versus exploratory strategy. The possibilities and combinations are believed to be endless, provided the focus is maintained on linking of the front-end identification of cognitive style with an improved performance outcome. My in-depth analysis provides a better understanding of the interactive effects of the cognitive style construct and instructional format on the acquisition of abstract concepts, involving spatial relations and logical reasoning. In providing the basis for a meta-knowledge processing model, this research is expected to be of interest to educators, cognitive psychologists, communications engineers and computer scientists specialising in computer-human interactions.

European business schools and global leadership: an examination of the admission criteria of the european master in management programs ranked by the Financial Times 2010

O aumento de empresas que operam internacionalmente requer o desenvolvimento de líderes mundiais para colocar as estratégias em prática. Embora este processo de desenvolvimento é importante para o mundo corporativo, muitos futuros executivos são graduados de escolas de administração de empresas que estão intimamente ligados ao mundo de negócios e, portanto, desempenhão um papel importante no processo. Esta pesquisa examina se os programas europeus “Master in Management” classificado pelo Financial Times em 2010 selecionam aqueles candidatos que são mais adequados para o desenvolvimento de liderança global. Portanto, três anteriores meta-estudos são sintetizados para produzir um perfil de competências classificadas de um líder global. Então, informações sobre os critérios de admissão dos programas de mestrado são coletadas e comparadas com este perfil. Os resultados mostram que seis competências são medidas por mais da metade dos programas: proficiência em Inglês, capacidade analítica (racionamento lógico e quantitativo), capacidade de comunicação, conhecimento do negócio global, determinação para alcançar, motivação e capacidade interpessoal. Além disso, as habilidades operacionais requerentes pelos líderes globais não são significativas no processo de admissão e o foco é sobre as habilidades analíticas. Comparação dos resultados com o perfil anteriormente desenvolvido abrangente indica que uma quantidade significativa de programas pode subestimar o significado de habilidades pessoais e características para o desenvolvimento de líderes globais.

Um estudo sobre a apreciação do raciocínio matemático na formação inicial de professores

The present work focused on developing teaching activities that would provide to the student in initial teacher training, improving the ability of mathematical reasoning and hence a greater appreciation of the concepts related to the golden section, the irrational numbers, and the incommensurability the demonstration from the reduction to the nonsensical. This survey is classified itself as a field one which data collection were inserted within a quantitative and qualitative approach. Acted in this research, two classes in initial teacher training. These were teachers and employees of public schools and local governments, living in the capital, in Natal Metropolitan Region - and within the country. The empirical part of the research took place in Pedagogy and Mathematics courses, IFESP in Natal - RN. The theoretical and methodological way construction aimed to present a teaching situation, based on history, involving mathematics and architecture, derived from a concrete context - Andrea Palladio s Villa Emo. Focused discussions on current studies of Rachel Fletcher stating that the architect used the golden section in this village construction. As a result, it was observed that the proposal to conduct a study on the mathematical reasoning assessment provided, in teaching and activity sequences, several theoretical and practical reflections. These applications, together with four sessions of study in the classroom, turned on to a mathematical thinking organization capable to develop in academic students, the investigative and logical reasoning and mathematical proof. By bringing ancient Greece and Andrea Palladio s aspects of the mathematics, in teaching activities for teachers and future teachers of basic education, it was promoted on them, an improvement in mathematical reasoning ability. Therefore, this work came from concerns as opportunity to the surveyed students, thinking mathematically. In fact, one of the most famous irrational, the golden section, was defined by a certain geometric construction, which is reflected by the Greek phrase (the name "golden section" becomes quite later) used to describe the same: division of a segment - on average and extreme right. Later, the golden section was once considered a standard of beauty in the arts. This is reflected in how to treat the statement questioning by current Palladio s scholars, regarding the use of the golden section in their architectural designs, in our case, in Villa Emo

Aprendizado significativo aplicado ao ensino de algoritmos

The course of Algorithms and Programming reveals as real obstacle for many students during the computer courses. The students not familiar with new ways of thinking required by the courses as well as not having certain skills required for this, encounter difficulties that sometimes result in the repetition and dropout. Faced with this problem, that survey on the problems experienced by students was conducted as a way to understand the problem and to guide solutions in trying to solve or assuage the difficulties experienced by students. In this paper a methodology to be applied in a classroom based on the concepts of Meaningful Learning of David Ausubel was described. In addition to this theory, a tool developed at UFRN, named Takkou, was used with the intent to better motivate students in algorithms classes and to exercise logical reasoning. Finally a comparative evaluation of the suggested methodology and traditional methodology was carried out, and results were discussed

Criatividade em uma perspectiva estético-cognitiva

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O consensual e o polêmico no texto argumentativo escolar

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A importância dos contos de fadas originais no desenvolvimento infantil: um incentivo ao raciocínio lógico

Fairy tales are popular stories that has been narrated for centuries, whether through oral tradition or printed manuscripts, over generations. It is known that fairy tales can, through symbolism, to penetrate the human unconscious, rescuing emotions, feelings and influencing their actions and ways of thinking, and are means of transmitting moral values propagated by particular historical and social contexts for variations that appear in the same story, because it can be modified by the intention of the person who transmits me story and the interpretation of those who read it, at a particular time and situation. Although, these changes, compared to the classic fairy tales of Perrault, the Grimm Brothers and Andersen, are marked clearly different, which shows the habits and customs of the time in which they are conveyed, whether in written or oral form. The present work aimed to study the differences between current and classic tales, as well as their influences on implications for the child's mind, from a work by the teacher, which consider the role of context in the situation, the characters and the plot. Thus it is intended that students be induced to question, to understand the values dealtturn in the story and to make inferences, and that logical reasoning be stimulated not only for reading, but for any act of communication to occur