Finite Group Actions on Kervaire Manifolds

Date of Acceptance: 09/06/2015

Le sentiment de compétence : modérateur du lien entre le QI et le rendement scolaire en mathématiques

La présente étude a pour but de vérifier si le QI et le sentiment de compétence interagissent lorsque l’élève doit performer à l’école et si, en l’occurrence, cette interaction est à son tour modérée par l’âge et le sexe des participants. Afin de vérifier ces hypothèses, les variables suivantes ont été étudiées chez 928 élèves de souche francocanadienne fréquentant des écoles montréalaises de niveau secondaire : la moyenne en mathématiques, le QI, le sentiment de compétence en mathématiques, l’âge, le sexe et le statut socioéconomique. Tel que prévu, le QI et le sentiment de compétence en mathématiques corrèlent de façon positive et significative avec la moyenne en mathématiques de l’élève. Les analyses montrent également une interaction significative entre le QI et le sentiment de compétence. Une fois décomposée, cette interaction indique que chez les élèves qui ont un sentiment de compétence élevé, la valeur prédictive du QI est plus élevée, alors que la relation entre le QI et la performance ne change pas de façon significative chez les élèves qui présentent un faible sentiment de compétence. Enfin, ni l’âge ni le sexe de l’élève n’influencent l’interaction entre le QI et le rendement scolaire, pas plus qu’ils ne sont corrélés avec le rendement scolaire. Les implications cliniques de cette recherche sont discutées.

An investigation into the tension arising between natural language and mathematical language experienced by mechanical engineering students

This investigation is grounded within the concept of embodied cognition where the mind is considered to be part of a biological system. A first year undergraduate Mechanical Engineering cohort of students was tasked with explaining the behaviour of three balls of different masses being rolled down a ramp. The explanations given by the students highlighted the cognitive conflict between the everyday interpretation of the word energy and its mathematical use. The results showed that even after many years of schooling, students found it challenging to interpret the mathematics they had learned and relied upon pseudo-scientific notions to account for the behaviour of the balls.

Geodesically reversible Finsler 2-spheres of constant curvature

A Finsler space is said to be geodesically reversible if each oriented geodesic can be reparametrized as a geodesic with the reverse orientation. A reversible Finsler space is geodesically reversible, but the converse need not be true. In this note, building on recent work of LeBrun and Mason, it is shown that a geodesically reversible Finsler metric of constant flag curvature on the 2-sphere is necessarily projectively flat. As a corollary, using a previous result of the author, it is shown that a reversible Finsler metric of constant flag curvature on the 2-sphere is necessarily a Riemannian metric of constant Gauss curvature, thus settling a long- standing problem in Finsler geometry.

On surfaces with prescribed shape operator

The problem of immersing a simply connected surface with a prescribed shape operator is discussed. I show that, aside from some special degenerate cases, such as when the shape operator can be realized by a surface with one family of principal curves being geodesic, the space of such realizations is a convex set in an affine space of dimension at most 3. The cases where this maximum dimension of realizability is achieved are analyzed and it is found that there are two such families of shape operators, one depending essentially on three arbitrary functions of one variable and another depending essentially on two arbitrary functions of one variable. The space of realizations is discussed in each case, along with some of their remarkable geometric properties. Several explicit examples are constructed.

Le sentiment de compétence : modérateur du lien entre le QI et le rendement scolaire en mathématiques

La présente étude a pour but de vérifier si le QI et le sentiment de compétence interagissent lorsque l’élève doit performer à l’école et si, en l’occurrence, cette interaction est à son tour modérée par l’âge et le sexe des participants. Afin de vérifier ces hypothèses, les variables suivantes ont été étudiées chez 928 élèves de souche francocanadienne fréquentant des écoles montréalaises de niveau secondaire : la moyenne en mathématiques, le QI, le sentiment de compétence en mathématiques, l’âge, le sexe et le statut socioéconomique. Tel que prévu, le QI et le sentiment de compétence en mathématiques corrèlent de façon positive et significative avec la moyenne en mathématiques de l’élève. Les analyses montrent également une interaction significative entre le QI et le sentiment de compétence. Une fois décomposée, cette interaction indique que chez les élèves qui ont un sentiment de compétence élevé, la valeur prédictive du QI est plus élevée, alors que la relation entre le QI et la performance ne change pas de façon significative chez les élèves qui présentent un faible sentiment de compétence. Enfin, ni l’âge ni le sexe de l’élève n’influencent l’interaction entre le QI et le rendement scolaire, pas plus qu’ils ne sont corrélés avec le rendement scolaire. Les implications cliniques de cette recherche sont discutées.

Formal and informal translation and interpretation for immigrants and asylum seekers

As of 2011 there were over 50,000 migrants, who speak a language other than English or Irish at home, residing in Northern Ireland. Many of these individuals do not possess adequate levels of English language proficiency in order to access services. Research funded by the Northern Ireland Inclusion and Diversity Service was conducted to determine the home-school connections of culturally and linguistically diverse families in Northern Ireland. It revealed that there are a wide variety of ways that translation and interpretation services are offered for families not fluent in English within the school settings. Drawing upon the findings from the research in Northern Ireland, this presentation provides an overview of the types of translation and interpretation taking place in Northern Ireland; the advantages and disadvantages of each; and recommendations for agencies utilizing both formal and informal translation and interpretation. The presentation also includes references to work in this area in other contexts, as well as specific guidelines for agencies using both formal and informal translation and interpretation. These guidelines help ensure that the translations are conducted in a professional manner for all agencies providing services.

Fysisk aktivitet påverkar elevers skolresultat : Möjligt samband mellan elevers fysiska aktivitet och deras skolresultat

Uppsatsens syfte var att analysera och tolka tidigare forskning om elevers fysiska aktivitet kan bidra till förbättrat skolresultat. Med hjälp av systematisk litteratursökning tolkades tidigare forskningsresultat för att hitta eventuellt samband mellan fysisk aktivitet och förbättrat skolresultat. 39 av 700 artiklar plockades ut som granskades och djupare analyserades, där 8 artiklar slutligen ansågs vara mest relevant för den här litteraturstudien. Analyserade forskningsartiklar anses visa resultat på att fysisk aktivitet påverkar elevers skolresultat. Resultatet visade att fysisk aktivitet är en faktor som troligen påverkar elevers skolresultat med neutralt eller positivt utfall. Få indikationer visade på negativa associationer mellan fysisk aktivitet och skolresultat. Analyserat och tolkat forskningsresultat visar att fysisk aktivitet kan vara ett viktigt verktyg till att förbättra elevers skolresultat genom förbättrat provresultat och betyg, där mest positiva förbättringar sker inom matematik och engelska.

Why Cyber Security is Hard

Abstract There has been a great deal of interest in the area of cyber security in recent years. But what is cyber security exactly? And should society really care about it? We look at some of the challenges of being an academic working in the area of cyber security and explain why cyber security is, to put it rather simply, hard! Speaker Biography Keith Martin Prof. Keith Martin is Professor of Information Security at Royal Holloway, University of London. He received his BSc (Hons) in Mathematics from the University of Glasgow in 1988 and a PhD from Royal Holloway in 1991. Between 1992 and 1996 he held a Research Fellowship at the University of Adelaide, investigating mathematical modelling of cryptographic key distribution problems. In 1996 he joined the COSIC research group of the Katholieke Universiteit Leuven in Belgium, working on security for third generation mobile communications. Keith rejoined Royal Holloway in January 2000, became a Professor in Information Security in 2007 and was Director of the Information Security Group between 2010 and 2015. Keith's research interests range across cyber security, but with a focus on cryptographic applications. He is the author of 'Everyday Cryptography' published by Oxford University Press.

Konkret material i matematikundervisningen – bekymmer och motsättningar : En systematisk litteraturstudie om laborativ matematik

Laborativt arbete med konkret material är en arbetsform inom matematiken som på en del håll åter fått uppsving i ett försök att råda bot på svenska elevers försämrade prestationer i och intresse för matematik. Denna litteraturstudies syfte är att undersöka vilka faktorer som kan påverka negativt vid laborativt arbete med konkret material i matematikundervisningen. I resultatet av litteraturstudien synliggörs huvudsakligen två faktorer som är av större betydelse för undervisningens utfall samt en faktor av mindre betydelse, elevernas ålder. Den första faktorn behandlar valet av material och materialets utformning, vilket kan inverka på elevernas förståelse. Om det konkreta materialet är mycket likt de föremål elever möter i sin vardag, såsom pizzaslices eller pengar, kan denna likhet störa elevernas matematiska förståelse genom att för stor uppmärksamhet riktas mot igenkännandet och att se föremålen som potentiella leksaker, istället för att se dem som konkreta symboler för abstrakt matematik. Detta tycks inte åldersbetingat, utan förekommer i olika årskurser. Den andra faktorn som uppmärksammats är lärarens vägledande roll. Läraren behöver adekvat kompetensutveckling och professionellt stöd i arbetet med konkret material för att öka chanserna att arbetssättet får ett så gynnsamt utfall som möjligt. Läraren spelar en stor roll i både valet av konkret material och i hur instruktioner samt vägledning ges. Det är också viktigt att läraren i undervisningen bjuder in till interaktion och kommunikation om elevernas funna resultat och lösningsförslag för att stärka elevernas förståelse. Sökandet efter relevant litteratur genomfördes i AABRI, ERIC, Google Scholar, Libris, och Summon.

Democratização do acesso ao ensino superior: os cursos de graduação à distância na UFRN

This thesis pursuits to contextualize the theoretical debate between the implementation of public education policy of the Federal Government focused in a distance learning and legal foundations for its enforcement, in order to raise questions and comments on the topic in question. Its importance is back to provide scientific input and can offer to the academy, particularly in the UFRN, and elements of society to question and rethink the complex relationship between the socio-economic and geographic access to higher education. It consists of a descriptive study on the institutionalization of distance education in UFRN as a mechanism for expanding access to higher education, for both, the research seeks to understand if the distance undergraduate courses offered by the UAB system and implemented at UFRN, promote expanding access to higher education, as it is during implementation that the rules, routines and social processes are converted from intentions to action. The discussion of this study lasted between two opposing views of Implementation models: Top-down and Bottom-up. It is worth noting that the documents PNE, PDE and programs and UAB MEETING reflect positively in improving the educational level of the population of the country It is a qualitative study, using the means Bibliographic, Document and Field Study, where they were performed 04 (four) in 2010 interviews with the management framework SEDIS / UAB in UFRN. The data were analyzed and addressed through techniques: Document Analysis and Content Analysis. The results show that the process of implementation of distance education at UFRN is in progress. According to our results, the research objective is achieved, but there was a need to rethink the conditions of the infrastructure of poles, the structure of the academic calendar, the management of the SEDIS UFRN, regarding the expansion of existing vacancies and the supply of new courses by the need for a redesign as the Secretariat's ability to hold the offerings of undergraduate courses offered by the Federal Government to be implemented in the institution. It was also found that levels of evasion still presents a challenge to the teaching model. Given the context, we concluded that the greatest contribution of UAB and consequently UFRN by distance learning for undergraduate courses (Bachelor in Mathematics, Physics, Chemistry, Geography and Biological Sciences, beyond the bachelor's degrees in Business and Public Administration ) is related to increasing the number of vacancies and accessibility of a population that was previously deprived of access to university

Problem solving competency and the mathematical kangaroo

The goal of the study was to investigate differences in how two groups of students activated mathematical competencies in the mathematical kangaroo (MK). The two groups, group 1 and 2, were identified from a sample of 264 students (grade 7, age 13) through high achievement (top 20 %) in only one of the tests: the MK or a curriculum bounded test (CT). Analysis of mathematical competencies showed that the high achievers in the MK, activated the problem solving competency to a greater extent than the high achievers in the CT, when doing the MK. The results indicate the importance of using non-traditional tests in the assessment process of students to be able to find students that might possess good mathematical competencies although they do not show it on curriculum bounded tests.

Colmeias: uma estratégia didático-pedagógica para potencializar a aprendizagem significativa através da colaboração nas redes sociais em contextos móveis

O presente trabalho procura atender as necessidades dos processos educativos da atualidade, reconhecendo que esses ocorrem numa sociedade denominada como a Sociedade da Informação (SI), num ambiente em que os aprendizes são nativos digitais. Na SI presencia-se um momento marcado por um modelo computacional móvel, no qual também é possível constatar-se a emergência de um novo paradigma educacional - a aprendizagem com mobilidade - que possibilita a integração das tecnologias móveis com os processos de ensino e de aprendizagem. Além disso, observa-se a ascensão do emprego das redes sociais na Internet (RSI) no dia a dia dos indivíduos impactando as práticas estabelecidas na SI. Nesse cenário, visando integrar a aprendizagem móvel com os recursos das RSI para promover-se uma educação mais sintonizada com o perfil atual dos estudantes, expõe-se nessa tese uma nova proposta metodológica - a Colmeias almejando dessa maneira facilitar uma aprendizagem significativa a partir de um processo colaborativo, em rede e em contextos de mobilidade. Com embasamento teórico em diversos autores, entre os quais se destacam Vygostky, Bruner e Ausubel, apoiados por Júlio Cesar Santos e Pierry Dillenbourg, salienta-se que a estratégia Colmeias representa um caminho alternativo para aqueles professores que desejam promover uma educação mais coerente com a atualidade. Nessa pesquisa ainda se apresenta a sua aplicação por meio de um estudo de caso na Matemática procurando, assim, aproximar a teoria com a prática.

Educação matemática: pesquisas e possibilidades

This book presents a current overview of themes that entangle research in Mathematics Education, which were produced in conjunction with professors who act in the Mathematics Education field at PPGECM (Science and Mathematics Post-graduation Program), that counts with professors from many universities, especially UFPR (Paraná's Federal University), UTFPR (Paraná's Technological Federal University) and UDESC (Santa Catarina's Federal University).The set of texts brings some areas of interest, studies that are in development and research that have been completed. It is expected that the chapters present the program, aspects of its production, interests and theoretical/methodological relations, contributing to the strengthening of Mathematics Education as a research field and familiarization and deepening of the topics discussed.

Um problema de dispersão de poluentes em rios e canais por meio do método de separação de variáveis

Neste trabalho obtém-se uma solução analítica para a equação de advecção-difusão aplicada a problemas de dispersão de poluentes em rios e canais. Para tanto, consideram-se os casos unidimensionais e bidimensionais em regime transiente com coeficientes de difusividade e velocidades constantes. A abordagem utilizada para a resolução deste problema é o método de Separação de Variáveis. Os modelos resolvidos foram simulados utilizando o MatLab. Apresentam-se os resultados das simulações numéricas em formato gráfico. Os resultados de algumas simulações numéricas existem na literatura e puderam ser comparados. O modelo proposto mostrou-se coerente em relação aos dados considerados. Para outras simulações não foram encontrados comparativos na literatura, todavia esses problemas governados por equações diferenciais parciais, mesmo lineares, não são de fácil solução analítica. Sendo que, muitas delas representam importantes problemas de matemática e física, com diversas aplicações na engenharia. Dessa forma, é de grande importância a disponibilidade de um maior número de problemas-teste para avaliação de desempenho de formulações numéricas, cada vez mais eficazes, já que soluções analíticas oferecem uma base mais segura para comparação de resultados.