Mapping class group e complesso delle curve per superfici di Heegaard

In una 3-varietà chiusa è possibile individuare alcune superfici (dette di Heegaard) tali che, tagliando la 3-varietà lungo una di queste, essa si spezza in due corpi con manici che hanno per bordo tale superficie. La tesi propone alcuni recenti risultati circa l'interazione tra la topologia della 3-varietà, il gruppo di automorfismi delle sue superfici di Heegaard e complessi simpliciali costruiti a partire dalle curve su tali superfici.

Computation of locally free class groups

We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to present an algorithm that computes the locally free class group. The algorithm is implemented in MAGMA for the case where the algebra is a group ring over the rational numbers.

Twisted conjugacy classes in symplectic groups, mapping class groups and braid groups (with an appendix written jointly with Francois Dahmani)

We prove that the symplectic group Sp(2n, Z) and the mapping class group Mod(S) of a compact surface S satisfy the R(infinity) property. We also show that B(n)(S), the full braid group on n-strings of a surface S, satisfies the R(infinity) property in the cases where S is either the compact disk D, or the sphere S(2). This means that for any automorphism phi of G, where G is one of the above groups, the number of twisted phi-conjugacy classes is infinite.

Braid groups, mapping class groups, and Torelli groups

This thesis discusses subgroups of mapping class groups of particular surfaces. First, we study the Torelli group, that is, the subgroup of the mapping class group that acts trivially on the first homology. We investigate generators of the Torelli group, and we give an algorithm that factorizes elements of the Torelli group into products of particular generators. Furthermore, we investigate normal closures of powers of standard generators of the mapping class group of a punctured sphere. By using the Jones representation, we prove that in most cases these normal closures have infinite index in the mapping class group. We prove a similar result for the hyperelliptic mapping class group, that is, the group that consists of mapping classes that commute with a fixed hyperelliptic involution. As a corollary, we recover an older theorem of Coxeter (with 2 exceptional cases), which states that the normal closure of the m-th power of standard generators of the braid group has infinite index in the braid group. Finally, we study finite index subgroups of braid groups, namely, congruence subgroups of braid groups. We discuss presentations of these groups and we provide a topological interpretation of their generating sets.

Aprender com os outros : uma estratégia para a inclusão de um aluno com Autismo

Este Projecto de Intervenção, “Aprender com os outros - uma estratégia para a inclusão de um aluno com autismo”, fundamentado nos pressupostos e nos procedimentos da investigação-acção, centrou-se nas acções em áreas de maior e menor sucesso do aluno, de nome fictício “Francisco”, no âmbito da língua portuguesa e da socialização, numa perspectiva inclusiva. Este aluno considerado com necessidades educativas especiais (NEE) apresentava perturbações do espectro do autismo (PEA), o que, à partida, se repercutia no seu défice de atenção, na autonomia para a realização das tarefas escolares, na área da linguagem e da comunicação e na interacção social. Como as interacções na turma e com a turma são essenciais para a aprendizagem, propusemo-nos implementar actividades específicas para o desenvolvimento das competências sociais e cognitivas, com abordagem comportamentalista, numa turma do 3º ano de escolaridade, onde estava incluído um aluno diagnosticado com PEA. Também procurámos desenvolver as suas competências académicas, através do trabalho realizado no grupo e com o grupo-turma, criando as condições que favorecessem a socialização do aluno e a sua autonomia. Para atingirmos aqueles objectivos, iniciámos um trabalho a pares e depois em pequenos grupos, para desta forma incluir o “Francisco” na dinâmica das aulas, para que participasse nas actividades propostas, obtendo o respeito dos colegas na valorização das suas intervenções e do seu ritmo de trabalho. Os objectivos definidos, bem como as actividades realizadas e avaliadas, implicando todos os intervenientes no processo, permitiram que o “Francisco” fizesse aprendizagens significativas nas áreas, académica, social, da autonomia e da comunicação. Segundo Silva (2009), a inclusão dos alunos considerados com necessidades educativas especiais no ensino regular implica mudanças ao nível das atitudes e das práticas pedagógicas de todos os intervenientes no processo ensino e aprendizagem, da organização e da gestão na sala de aula e na própria escola enquanto instituição. Acreditamos que só desta forma se pode proporcionar aos alunos marcados pela diferença, que é um valor em si mesma (Rodrigues, 2006; Leitão, 2006; Sanches & Teodoro, 2006; Silva, 2009), as mesmas experiências, aprendizagens e vivências que são proporcionadas aos restantes colegas.

Inclusão e currículo - as práticas curriculares dos professores dos 2º e 3º ciclos do ensino básico, decorrentes da inclusão de alunos com N.E..E.

Dissertação de mestrado em ciências da educação especialidade educação especial

Conceções alternativas de alunos do 2.º ano de escolaridade sobre a reprodução humana

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

Growing up in Ireland. Key findings: infant cohort (at 3 years).

 The latest results from the study paint a picture of how these families are faring across a range of areas in their lives including their health, family life and financial and economic circumstances. In general the findings show that three-year-olds in Ireland are in good health with a few notable public health and related issues (including overweight and obesity), there is overall stability in family structures over the short term and that the recession has had a substantial effect on families with young children over the last number of years. These are the first longitudinal findings from the study. The first wave of fieldwork with the families of the Infant Cohort included approximately 11,100 nine-month-olds, their parents and carers. Interviews began in September 2008 and were completed in March 2009. Interviews for the second round of interviews with this cohort took place between January and August 2011. A total of 90% of the original sample of nine-month-olds were successfully re-interviewed. (A full download of the results released today, presented in three briefing documents can be found by clicking here. Key findings include: Health â?¢ Most of the children were described as being in good health; 75% were rated as very healthy and a further 23% were rated as healthy, but a few minor problems. Girls were more likely to be reported as very healthy (78%) compared with boys (72%). â?¢ One in four or almost one quarter of three-year-old children were overweight (19%) or obese (6%). â?¢ Childrenâ?Ts weight was related to household social class. 5% of children in families in the professional/managerial group were classified as obese at three years of age compared with 9% of those in the most disadvantaged social class group. However, at least one-fifth of children in every social class were overweight. â?¢ Childrens consumption of energy-dense foods such as crisps, sweets, chips, and non-diet fizzy drinks increased as parental education fell. 63% of children whose mother had a lower secondary education or less ate at least one portion of crisps compared with 36% of those from degree-level backgrounds, although consumption of biscuits/chocolates was over 70% for both groups of children. â?¢ Two-thirds (66%) of three-year-olds had received at least one course of antibiotics in the 12 months preceding the interview. Children with a full medical card (35% of the sample) or a GP-only medical card (5% of the sample) were more likely to have received a course of antibiotics than â?¢ Children with a full medical card received a higher number of antibiotic courses on average (2.6) compared with those without a medical card (2.1). â?¢ Just under 16% of three-year-old children were reported as having at least one longstanding illness, condition or disability. The most commonly reported illness types included Asthma (5.8%), Eczema/Skin allergies (3.9%) and Food/digestive allergies (1.2%) Family Life and Childcare â?¢ While the overall distribution of family structure was stable, there have been transitions from one-parent families to two-parent families and vice-versa over the 27 months between interview â?" approximately 2 to 3 percent in each direction. â?¢ 50% of three year olds were in some form of non-parental childcare for eight or more hours a week. The most common form used was centre-based childcare which almost tripled between nine months and three years, from 11% to 30%. â?¢ A similar percentage of grandparents were caring for children at both nine months and three years, 12% and 11% respectively. A total of 10% of three-year-olds were being minded by a childminder, an increase of 3 percentage points from when the children were nine months of age. â?¢ Children who were in some form of non-parental childcare were spending an average of 23 hours a week in their main type of childcare. â?¢ At time of interview the vast majority of mothers reported that they had regular contact with the Study Childâ?Ts grandparents (91%). In offering support to parents, grandparents were most likely to babysit (50%), and buy clothes (40%) at least on a monthly basis. One-parent families were more likely than two-parent families to receive financial support from grandparents with just under one-third (66%) of one-parent families receiving financial support from grandparents at least once every three months. â?¢ The most frequently used discipline technique was â?~discussing or explaining why the behaviour was wrongâ?T, with 63% of mothers saying they always did this. â?¢ 12% of mothers said they used â?~smackingâ?T as a form of discipline now and again and less than 1% used â?~smackingâ?T as a form of discipline more frequently. Over half reported that they never smacked the Study Child. Financial and Economic Circumstances â?¢ Just over half (53%) of mothers of three-year-olds worked outside the home, 38% said they were on home duties and 6% said they were unemployed. â?¢ The biggest change in terms of the work status of three-year-oldsâ?T parents was an increase in the percentage of unemployed fathers â?" 6% when the child was nine months rising to almost 14% when s/he was three years of age. â?¢ 61% of families of three-year-olds reported experiencing difficulties in making â?~ends meetâ?T. This was a substantial increase from 44% in the first round of interviews when the children were nine-months-old. â?¢ Almost two thirds (63%) of all families with three-year-olds reported that the recession had had a very significant or significant effect on them. â?¢ The most frequently recorded effects were: a reduction in wages (63%); canâ?Tt afford luxuries (54%), social welfare reduction (53%) and canâ?Tt afford/cut back on basics (32%). Growing Up in Ireland is a Government funded study tracking the development of two nationally representative cohorts of children: an Infant Cohort which was interviewed initially at nine months and subsequently at three years of age; and a Child Cohort which was interviewed initially at nine years and subsequently at 13 years of age. The study is being conducted by a consortium of researchers led by the Economic and Social Research Institute (ESRI) and Trinity College Dublin. For Further Information Please Contact: Jillian Heffernan Communications Officer, Growing Up in Ireland Tel: 01 896 3378 Mobile: 087 9016880This resource was contributed to our repository by the National Documentation Centre on Drug Use.

Prevención de la violencia

Descripció de la intervenció duta a terme a l'IES Breamo de la Corunya, l'objectiu general de la qual era la prevenció de la violència escolar. Aquest objectiu es concreta en l'elaboració d'un protocol d'actuació de cara a la seva consecució: protocol d'actuació preventiva (primària), de detecció primerenca (secundària) i d'actuació pal·liativa (terciària).

Les relacions interpersonals en l'educació física a l'ESO : anàlisi de dos casos

Les relacions interpersonals en l’Educació Física a l’Educació Secundària Obligatòria constitueixen l’objecte d’estudi d’aquesta recerca qualitativa i transversal. Un procés d’investigació que pretén descriure, analitzar i interpretar els principals trets característics d’aquest marc relacional en l’àmbit de l’Educació Física; una matèria que presenta diferències estructurals i organitzatives significatives respecte la resta d’àrees curriculars. Professor, alumne i grup-classe esdevenen els tres actors protagonistes d’aquesta xarxa interactiva; on l’atenció es focalitza en l’anàlisi de dues tipologies de relacions: professor-alumne i alumne-alumne. A través de l’estudi de dos casos reals s’analitzen tres factors fonamentals i determinants en el procés relacional: estil d’ensenyament, rol adoptat i disponibilitat cap a les tasques; així com el factor resultant: l’ambient o clima d’aprenentatge.

Anàlisi de l'atenció a la diversitat a les tres escoles rurals de la Zer Tramuntana

L’objectiu d’aquest estudi, de caire interpretatiu - qualitatiu, consisteix en l’anàlisi de l’Atenció a la Diversitat a les tres escoles rurals de la ZER Tramuntana. Una recerca que pretén descriure, analitzar i interpretar els principals aspectes d’inclusió de l’alumnat en el grup - classe, la resposta educativa que donen els docents a la diversitat en les aules i els documents normatius que recullen aquests dos aspectes. Professors, alumnes i grup - classe són els actors que nosaltres hem estudiat detalladament, a partir d’entrevistes, tests sociomètrics i l’anàlisi dels documents vigents de les tres escoles de referència d’aquesta ZER que tenen present l’Atenció a la Diversitat. A partir de l’estudi dels tres casos reals, l’escola Puig Segalar de Viladamat, l’escola de Ventalló i l’escola Els Valentins de Vilamacolum, ens centrem en la perspectiva curricular i model inclusiu, per poder donar resposta a la nostra hipòtesi plantejada inicialment: El model d’escola rural afavoreix les estratègies d’Atenció a la Diversitat.

Estudi de l'impacte de les activitats de moviment corporal en un infant amb TDA

Aquest treball consta d’una investigació amb una pràctica d’activitats basades en el moviment corporal amb un infant diagnosticat amb Trastorn de Dèficit D’Atenció (TDA), amb la intenció de tractar i treballar els problemes que pateix de concentració i atenció. Aquesta pràctica va tenir lloc a l’Escola Sant Jordi de Navàs. Es va analitzar a l’alumne/a en concret, però es van treballar totes les activitats amb tot el grup classe. Les activitats van ser dissenyades a partir dels aprenentatges a la universitat durant la carrera i també de diferents autors citats al marc teòric. Els instruments de recollida de dades que es van utilitzar són les tècniques d’observació i el diari de camp i la càmera de fotos i de vídeo per enregistrar moments en concret. Aquests instruments van donar lloc a l’anàlisi i a la valoració final de les sessions de la pràctica realitzada, en la que es va poder observar una millora en l’atenció, la concentració, l’ interès, la relació amb els companys, etc, aconseguint els objectius proposats al principi. Si el moviment corporal ajuda a millorar als infants que pateixen aquest trastorn i a tots els altres és aconsellable que a l’escola es busquin estratègies i formes de treballar-ho, en qualsevol àrea, per a motivar i fer créixer els aprenentatges de tots els alumnes.

Pràctiques educatives inclusives per a la millora de la relació de grup

Introducció: El propòsit d’aquesta recerca, és fer un estudi de les relacions que hi ha entre els alumnes de P5 mitjançant la realització d’un sociograma i un anàlisi d’observació per comprovar si l’aplicació d’una unitat didàctica formada per activitats que afavoreixen la cohesió de grup, pot resultar canvis en les relacions entre els alumnes, de caire positiu. Mètodes: Durant la intervenció, s’utilitza una investigació avaluativa en la qual s’utilitzen diferents instruments per avaluar les relacions que hi ha dins del grup classe, que són els següents: el sociograma i una pauta d’observació. A partir d’aquests instruments, es poden analitzar els diferents vincles socials i el clima d'aula que es genera en el grup d'alumnes abans i després de proposar les activitats inclusives, fomentades per cohesionar el grup d’aula. El total de participants per fer aquesta investigació era de 25 alumnes. Resultats: Abans de la unitat didàctica, dels 25 alumnes que hi havien a l’aula, 5 eren força exclosos per la resta, en canvi després de la unitat didàctica, els resultats extrets del sociograma eren extraordinàriament diferents i satisfactoris, ja que les relacions entre els nens havia millorat i el grup classe es mostrava molt més cohesionat, encara que no obstant així, encara hi havia algun alumne menys inclòs que la resta. Conclusions: Considero que les activitats que ajuden a millorar la cohesió de grup i a incloure a tots els infants a l’aula, són essencials per tal d’oferir una educació de qualitat, inclusiva i digna. Per tant, si es dediqués més temps per aquest tipus d’activitats, segurament s’aconseguirien resultats encara més positius.