Alfabetização matemática no contexto ribeirinho: um olhar sobre as classes multisseriadas da realidade amazônica

Esta dissertação, intitulada “Alfabetização matemática no contexto ribeirinho: um olhar sobre as classes multisseriadas da realidade amazônica”, teve como objetivo investigar abordagens teórico-metodológicas para o ensino e aprendizagem de matemática, no âmbito da alfabetização matemática, possíveis de serem estabelecidas em classes multisseriadas de escolas ribeirinhas da realidade amazônica. Nesta pesquisa, a visão de alfabetização matemática foi construída levando em consideração não só as primeiras habilidades de leitura e escrita inicial da linguagem matemática escolar pela criança (DANYLUK, 1997), mas como um caminho para a aprendizagem do homem e mulher no mundo das relações matemáticas, a partir de concepções teóricas de D‟Ambrosio (2002), Domite e Mesquita (2003), Sebastiani Ferreira (1997), I. Mendes (2009) e Freire (2002). A pesquisa foi realizada no município de São Domingos do Capim, Estado do Pará, Brasil, entre outubro de 2010 e agosto de 2011. Na investigação sobre a alfabetização matemática em classes multisseriadas de escolas ribeirinhas, foram realizadas interações com representantes da Secretaria Municipal de Educação, visitas às escolas ribeirinhas multisseriadas, entrevistas com professores deste município. Como instrumentos de construção de dados foram utilizados diário de campo, entrevistas e observações. A análise da pesquisa de campo foi organizada nos seguintes itens: a) As classes multisseriadas e a alfabetização matemática no contexto ribeirinho; b) Recursos didáticos e alfabetização matemática; e, c) Cultura e educação matemática na Amazônia: entre saberes científicos e saberes da tradição. É possível afirmar que a alfabetização matemática expressa no contexto ribeirinho ainda restringe-se as experiências matemáticas referentes estritamente ao currículo escolar sem levar em consideração a riqueza de possibilidades de conhecimentos das experiências dos estudantes em seu contexto diário como localização espacial no deslocamento pelos rios, nos elementos matemáticos envolvidos na comercialização de frutos e pescado, por exemplo.

Multigrade teaching in primary education as a promising pedagogy for teacher education in Austria and Finland

This chapter focuses on teaching practices used in multigrade classes and the importance of them being incorporated in teacher education as promising pedagogies for future use. Multigrade classes - defined as classes in which two or more grades are taught together - are common worldwide. Hence, there is a need for teacher candidates to become familiar with how to teach in split grade classrooms. However, research on multigrade teaching as well as its development in teacher education studies has been neglected, even though multigrade teachers need special skills to organize instruction in their heterogeneous classrooms. We argue that in successful multigrade teaching practices, the heterogeneity of students is taken into account and cultivated. Based on content analysis of teacher interviews conducted in Austrian and Finnish primary schools, we recommend teaching practices such as spiral curricula, working plans, and peer learning as promising teacher education pedagogies for future multigrade class teaching. We also suggest that the professional skills required in high-quality teaching practices in multigrade teaching should be further studied by researchers and educators.

Transgressão do Paradigma da (multi)Seriação como referência para a construção da Escola Pública do Campo

O artigo analisa a realidade das escolas públicas do campo, inserindo suas particularidades nos desafios mais abrangentes que enfrentam os movimentos sociais populares do campo para assegurar o direito à universalização da Educação Básica, com qualidade socialmente referenciada e afirmativa da diversidade sociocultural e territorial que constitui o campo no Brasil. Ele socializa os resultados dos estudos realizados pelo Grupo de Estudo e Pesquisa em Educação do Campo na Amazônia (Geperuaz) sobre a realidade das escolas rurais com turmas multisseriadas, considerando o paradoxo existente entre o abandono e a precarização que caracteriza em grande medida as condições de existência dessas escolas e as ações criativas realizadas pelos professores e estudantes no cotidiano escolar, que desafiam as condições adversas nelas vivenciadas, indicando referências para a transgressão do paradigma seriado urbano de ensino atualmente hegemônico nessas escolas.

Perfil, concepções e práticas pedagógicas de professores que atuam em turmas multisseriadas de escolas públicas de Sergipe

This article examines some aspects of the organization of multigrade schooling, taking as reference the state of Sergipe. It describes the profile, the conceptions and pedagogical practices of teachers working in multigrade classes in public schools. The data presented result from a statistical analysis of information collected by Instituto Nacional de Estudos e Pesquisas Educacionais Anísio Teixiera (Inep) and from researches realized with public school teachers of Sergipe. The research has shown that the organization of multigrade schooling has different patterns and its central premise is the junction of years/grades, disregarding the age factor and inhibiting a possible pedagogical intervention, which considers the diversity of subjects and their lifetime. Therefore, it is necessary that teachers have a closer look at subjects of education in rural areas and build an educational intervention that goes beyond administrative aspects of formation of classes. The analysis of conceptions and practices of the teachers working in multigrade classes showed that the teaching work is obstructed by external determinations and by administrative barriers, inhibiting new reflections and practices that break up with the traditional logic of grades, permeated of excluding elements. The article aims to contribute to the dissemination of reflections and policies in the area of country education, especially for schools organized by multigrade schooling.

Inclusão de alunos com deficiência em escolas do campo: desafios da docência em contextos multisseriados

The challenges of dealing with diversity in the school, in a society that values standards, which homogenizes subjects, have been one of the main issues raised, both by researchers in the field of education as the segments that produce the policies in our country. The teatchers transformations, in the new needs prevailing in the era of postmodernity have inspired improvements in the teaching- -learning process and provide conditions to seek training professionals aware and critical in the process of being on social diversity. The present study aimed to investigate the challenges of teaching practice in the process of inclusion of students with disabilities in public schools in the Field of Concordia-SC. Such institutions have structures in their multigrade classes and organizations – with one teatcher for all. The methodological approach was qualitative in nature, with the instruments to collect data, semi-structured interviews and non-participant observation. We research subjects, two teachers of multigrade classes, Azucena and Dalia, which have enrollment of disabled students and the schools that comprise the Concordia Field. It was observed that as a result the main themes emerged from the interviews were: 1) Valuing and respecting the characteristics and capabilities of each student, 2) Design of classroom space as heterogeneous, rich in human diversity, 3) Cooperative work as a potentiator rhythms and different styles of learning, 4) continuing training of teachers: ensuring a “know-how”. It is hoped that the results of this study contribute to the formation and performance of the teacher in the process of inclusion of students with disabilities in school areas, especially in schools field.

Contribuições gerais para o trabalho pedagógico em salas multisseriadas

This article aims at reflecting on organization of pedagogical work in multigrade classes in order to contribute to facing core problems in countryside education and public school in general. We place historically and question school grading and then discuss teaching planning (horizontally and vertically); students' grouping (establishing the difference between group and grouping) and the necessary grouping for promoting learning. We seek to provide elements that evoke analyses of graded classroom standardization. We point out that in both multigrade and graded classes there are possibilities and limits for pedagogical practice. In this regard, we invite teachers to operate towards overcoming these limits by optimizing the concrete possibilities they find, mainly those regarding multigrade classes, which are the focus of our attention in this article.

Minimal Nielsen Root Classes and Roots of Liftings

Given a continuous map f : K -> M from a 2-dimensional CW complex into a closed surface, the Nielsen root number N(f) and the minimal number of roots mu(f) of f satisfy N(f) <= mu(f). But, there is a number mu(C)(f) associated to each Nielsen root class of f, and an important problem is to know when mu(f) = mu(C)(f)N(f). In addition to investigate this problem, we determine a relationship between mu(f) and mu((f) over tilde), when (f) over tilde f is a lifting of f through a covering space, and we find a connection between this problems, with which we answer several questions related to them when the range of the maps is the projective plane.

The game inside the school: a representation of 5(th) graders physical education classes

Since the beginning of Physical Education entrance in the brazilin public schools, the game has been frequently used as content, and in the course of time that practice seems to be intensified. In spite of many approaches of different purposes to justify its pedagogic usefulness, the game has been used as an indiscriminate way due to the fascination that it provides to the students. The present study searches for a description and analysis of children`s (10-12 years old) attitudes behaviors in games, on Physical Education classes, inside a public school. The study was accomplished with the researcher also attending as a teacher (action research). For the accomplishment of the study 55 children were filmed in four different games, of different kinds (exposed, transformed, and spontaneous). The classes` description and analysis were focused in the attitude axis and it was defined four topics for the discussion: Conflicts, Respect of rules, Expressiveness, and Competitiveness. The relationship between the individual with the game and its culture were pointed as the main characteristics in the configuration of the ludicrous activity atmosphere. It was also possible to observe specific situations of this relationship, once the games were limited to the social games (Piaget category), in a school atmosphere where children have students roles. Due to the obtained results, the study proposes a reflexive practice in which the students notice their own attitudes and try to adapt the game to their needs and not he other way around. In this perspective, the teacher has an important mediator roll, once he will be responsible to point out the students` difficulties and promote discussions in favor to provide teamwork.

Nine classes of integrable boundary conditions for the eight-state supersymmetric fermion model

Nine classes of integrable boundary conditions for the eight-state supersymmetric model of strongly correlated fermions are presented. The boundary systems are solved by using the coordinate Bethe ansatz method and the Bethe ansatz equations for all nine cases are given.

Myeloproliferative disorder and leukaemia in mice induced by different classes of constitutive mutants of the human IL-3/IL-5/GM-CSF receptor common beta subunit

Several constitutively active mutant forms of the common β subunit of the human IL-3, IL-5 and GM-CSF receptors (hβc), which enable it to signal in the absence of ligand, have recently been described. Two of these, V449E and I374N, are amino acid substitutions in the transmembrane and extracellular regions of hβc, respectively. A third, FIΔ, contains a 37 amino acid duplication in the extracellular domain. We have shown previously that when expressed in primary murine haemopoietic cells, the extracellular mutants confer factor-independence on cells of the neutrophil and monocyte lineages only, whereas V449E does so on all cell types of the myeloid and erythroid compartments. To study the in vivo effects and leukaemic potential of these mutants, we have expressed all three in mice by bone marrow reconstitution using retrovirally infected donor cells. Expression of the extracellular mutants leads to an early onset, chronic myeloproliferative disorder marked by elevations in the neutrophil, monocyte, erythrocyte and platelet lineages. In contrast, expression of V449E leads to an acute leukaemia-like syndrome of anaemia, thrombocytopaenia and blast cell expansion. These data support the possibility that activating mutations in hβc are involved in haemopoietic disorders in man.

Social adaptation of children with mild intellectual disability: Effects of partial integration within primary school classes

is study examined the social adaptation of children with mild intellectual disability who were either (a) partially integrated into regular primary school classes, or (b) full-time in separate classes, All of the children were integrated in sport and play activities with the whole school. Consistent with previous research, children with intellectual disability were less socially accepted than were a matched group of control children. Children in partially integrated classes received more play nominations than those in separate classes, brit there was no greater acceptance as a best friend. On teachers' reports, disabled children had higher levels of inappropriate social behaviours, but there was no significant difference in appropriate behaviours. Self-assessments by integrated children were more negative than those by children in separate classes, and their peer-relationship satisfaction was lower. Ratings by disabled children of their satisfaction with peer relationships were associated with ratings of appropriate social skills by themselves and their teachers, and with self-ratings of negative behaviour. The study confirmed that partial integration can have negative consequences for children with an intellectual disability.

Differential Persistence of Transmitted HIV-1 Drug Resistance Mutation Classes

Methods. We studied participants with acute and/or early HIV infection and TDR in 2 cohorts (San Francisco, California, and Sao Paulo, Brazil). We followed baseline mutations longitudinally and compared replacement rates between mutation classes with use of a parametric proportional hazards model. Results. Among 75 individuals with 195 TDR mutations, M184V/I became undetectable markedly faster than did nonnucleoside reverse-transcriptase inhibitor (NNRTI) mutations (hazard ratio, 77.5; 95% confidence interval [CI], 14.7-408.2; P < .0001), while protease inhibitor and NNRTI replacement rates were similar. Higher plasma HIV-1 RNA level predicted faster mutation replacement, but this was not statistically significant (hazard ratio, 1.71 log(10) copies/mL; 95% CI, .90-3.25 log(10) copies/mL; P = .11). We found substantial person-to-person variability in mutation replacement rates not accounted for by viral load or mutation class (P < .0001). Conclusions. The rapid replacement of M184V/I mutations is consistent with known fitness costs. The long-term persistence of NNRTI and protease inhibitor mutations suggests a risk for person-to-person propagation. Host and/or viral factors not accounted for by viral load or mutation class are likely influencing mutation replacement and warrant further study.