Geometria e simetria nas rendas de bilro: contribuições para matemática escolar

A tese tem como objetivo descrever e analisar características e princípios dos padrões das rendas de bilro de modo a estabelecer relações com a Matemática escolar, principalmente, no que se refere aos tópicos como Geometria, simetria, isometria, área, perímetro, entre outros. Desse modo, elaboramos atividades didáticas, com base na Matemática explorada nos padrões da criação da renda de bilro, visando concretizar um exercício investigatório nas aulas de Matemática, de modo que, sejam estabelecidas relações conceituais entre a prática investigada e os conteúdos da Matemática escolar. Para satisfazer esses objetivos, buscamos apoio metodológico na pesquisa bibliográfica, do tipo documental em catálogos como o da Professora Valdelice Girão (1984) e também o de Dawson (1984). Realizamos também a pesquisa empírica durante as visitas ao Museu do Ceará e ao Centro das Rendeiras na Prainha, em Aquiraz, no Ceará. Para realizar as atividades didáticas, apoiamo-nos em Mendes (2009). Consideramos relevante essa abordagem de ensino porque pressupõe a experiência direta do aprendiz com situações reais vivenciadas, nas quais a abordagem instrucional é centrada no aluno. Desse modo, concluímos que para o ensino de conteúdos como Geometria, simetria, isometria, relação entre perímetro e área, entre outros que são abordados na Educação Básica, os modelos decorrentes da criação renda de bilro e outros modelos já descritos na tradição cearense podem ser usados como artefato cultural na criação de atividades didáticas

Concepões e práticas pedagógicas de professoras da educação infantil na inclusão de alunos com deficiência

This research focuses on inclusive in childhood education. Its purpose was to investigate and analyze the conceptions and expectations of teachers of childhood education, childhood education center form Natal/RN, on the inclusion students with disabilities, school and pedagogical practices developed and implications for students learning. Theoric base of the cultural historic perspective, the search took by qualitative analysis of numbers form the case study method. It was used methodological procedures: documentary analysis, participant observation, field journal and semi structures interview.Three teachers participated in the survey of that school had student with disabilities in their classrooms. These teachers were called: Rapunzel, Snow white e Pretty. The teacher s nouns involved the refered kind of education. The data obtained from the observation indicated the regular school of childhood education provides educational practices that promote the participation and participation and development of students with disabilities, live situation that may create barriers to learning and to the development of these children. The analysing data of interview from Bardin content analysis (1994) was based in Cunha s studies (2001) Brun (2006, 2008), Mantoam (2006, 2008), Palacios, Paniagua (2007), among others. The dada showed that correlation and divergence of perceptions and expectations about the issues surrounding inclusion in childhood education. The results shaved that teaching strategies, affective ties, sensitivity and own routine of childhood education are factors that can promote inclusive proposal, but also needs a greater fulfillment individual differences of each child in order to their potentiality. The study also shaved that the negative of pedagogic support to teacher, the ignorance of them as guidelines and strategies that include the student s diversity, the importance having positive conceptions about the learning and development of student with severe learning disabilities and the need for a pedagogic training and of a collective work at school which everybody collaborates : parents, direction, coordination getting inclusive school. Believe that this study pointed relevant issues to be focus new research, since the theme is still lacking in study, therefore emphasize, the importance of conducting research that continuous this job

Quando as professoras se encontram para estudar matemática: saberes em movimento

This text results of a research in an Education Doctorate about teachers, professional background, formation, teaching knowledge and abilities. In this text, it s described the history of a study group in mathematics education composed by teachers who teach mathematics in the 2nd cycle of Ensino Fundamental (5th year of schooling), all belonging to the same school of the municipal public schools network. It presents the trajectory of the collaborative group, in all particularities, singularities, and the constant search to become collaborative. This trajectory was marked by the stories of it s participants in the ceaseless path to constitute teachers, by the sharing of knowledge, by the process of collaboration, by the thinking about the teaching practice, and by the personal and professional improvement of the teachers that form the group. The interpretative and qualitative research had as its investigation field the study group. The data supplied by the collect instruments indicate us that the collaboration between the teachers, the access to specific knowledge of mathematics area, the reflections about the teaching practice in a given context, are paths that lead to and make possible the re-elaboration of the teaching skills by teachers that teach mathematics to the first years

O Programa Pró-Letramento e a formação de alfabetizadores: repercussões nas concepções e práticas de professores cursistas

This paper intents to investigate the repercussions of the Pró-Letramento - Alphabetization and Language Course Program in the practices and conceptions of alphabetization of learning teachers, according to their own perspectives. The program, part of the National Formation Network of the Education Ministry, in partnership with public universities since 2006, is destined to aid the formation of teachers acting in the first three years of public basic education, with the goal of qualifying them to work with alphabetization and improve quality of learning processes and results. This investigation adopted the qualitative research paradigm as well as the Case Study methodology, being our empirical field a Belém do Brejo do Cruz/PB public school. The subjects are five Program graduation female teachers, including the tutor-trainer and four graduated teachers that already teach in the first three years of basic education. The data, gathered with documental analysis, individual and collective semi-structured interview, and non-participant observation, were analyzed according with Speech Analysis principals. Based on those principals, we intersected teachers enunciations, observation sessions registries and the Program s propositions and built interpretations based on theorization taken as fundaments of the investigation, among which we highlight: studies on a criticalreflexive perspective of a teacher s formation; continued formation as a permanent development process; the principals of historical-cultural approach on alphabetization processes and development with the centrality of language; alphabetization in a interactionist approach. The analysis focused on the Program s repercussions: 1) in the teachers conceptions about: 1.1) learning; 1.2) Alphabetization and literacy; and in the practices and conceptions related to: 1.3) alphabetization in a literacy perspective and 1.4) appropriation of the writing system. The corpus analysis evidenced relations of continuity and discontinuity, approach and distancing between the teachers conceptions and the Program s propositions, as well as conceptions/significance of their speeches and related or observed practices. Observing teachers elaborations evidences the repercussion of the Program s formation, whilst also showing gaps and mismatches in their appropriation process in concepts/assumptions as well as teaching propositions. These mismatches involve interaction relationships between teachers and students, with their possibilities and limitations surrounding the Program s knowledge objects complexity, also linking to the social, economical, political, and cultural conditions that involve both the implementation of the Program in each context and the conditions in which alphabetization in public schools are developed, demanding permanent and accompanied formation processes, investments to improve work conditions and valuing teaching

O currículo e as práticas pedagógicas na EJA: concepções e crenças dos professores da escola municipal Francisca Leonísia Cruz

The present investigation deals with the Curriculum and Pedagogical Practices of Young and Adults, EJA, and articulates with the conceptions and beliefs of teachers sitting. The empirical scope of this investigation consisted in the Municipal School Francisca Leonísia, located in the Agrarian Reform Settlement Serra Nova, city of Florânia/RN. Seeks to analyze the relationship between the Curriculum and Educational Practices of Young and Adult EJA - conceptions beliefs of these teachers. This work is based on qualitative research, interpretative character reflective and makes use of documentary analysis, structured interviews and reflective sessions as methodological procedures which ensure the achievement of our goals in research. These procedures allowed us to enter the practice setting and curriculum for teachers to understand how they think, prepare and practice of adult education in school curriculum research field. The documentary analysis provided the rethinking of the curriculum selected references, Political Pedagogical Project and Proposed Course of EJA, from a critical reading of concepts and conceptions given in these references, with a view to construction and reconstruction of concepts that reclaim the identity of young people and adult field, inserted in the Rural Workers Movement landless/MST. As reflective sessions were constituted in spaces of collective training and allowed the group to selfreflection e collective reflection about the ideas and beliefs that permeate the curriculum and guide their practices education in adult education. In these areas of training are also discussed current problems of adult education, the construction of an educational project of the adult education field to, warranties of learning and cultural identity of the adult education field and placed in the context of the MST. Under this view, it is concluded that the conceptions and beliefs of teachers seated directly relate to the curriculum designed, developed and practiced in adult education, as well as the educational practices that permeate the curriculum. This relation is in the midst of adversities of Rural Education, inserted in the Movement of Landless Rural Workers-MST, and requires the commitment of teachers to the necessary changes to an education are critical and emancipatory

Trilhas da inclusão escolar percorridas por uma aluna com paralisia cerebral na EJA: concepções e práticas

On this qualitative study, it has been discussed the school inclusion paths done by a student with cerebral palsy, who we call Liz, and who was also the reference and indirect subject for this study. For the representation of landscapes found, it follows throughout historical, political and pedagogical paths, getting through the case study method references on the current Brazilian educational context, analyzing, which concepts are attributed to the inclusion and which practices are developed by educational managers and teachers in a regular school of the City of Natal/RN. The theory which based this research is supported on Vygotsky's central ideas (1991, 1997, 2004) and his followers. Furthermore, it was essential to bring to this investigative journey a literature which could dialogue with the most relevant aspects of the cultural-historical approach, emphasizing the assumptions of a progressive education tendency, which promotes the subject involvement of his/her work in the world and for the world. This way, it was necessary to seek for theoretical support on assistive technology and on alternative communication, in order to show the importance of establishing other communications, which is, to break away from the conventional pattern established by the school. On this journey it was used procedures for the data construction, such as: observation, conducting semistructured interviews and questionnaires; and document analysis that supported and legitimized the inclusion, besides the permanent field diaries record. On the access paths to this landscape it entered in the Youth and Adults Education (Educação de Jovens e Adultos - EJA), seeking to establish a dialogue among Youth and Adult Education and Special Education. It was verified that, still, there are large gaps in these policies articulation. Among the results obtained it was raised discussions on new scenery, in which Youth and Adults Education (EJA) emerges as prominent mode of the established relationships throughout the school inclusion process. There were target reflections on: the planning and evaluation systematic, the pedagogical articulation among the Youth and Adults Education (EJA) teachers and the multifunctional resource room teacher's actions and the continuous training importance of the educators involved. It was considered, therefore, that the necessary mediations for school inclusion may be sustained if the walkers are involved in a permanent contact with the nature of a proposal from the Special Education inclusive perspective

Currículo e arquitetura escolar: concepções de professoras e equipe gestora do Colégio Nossa Senhora das Neves-Natal-RN

The present study aims to investigate the conceptions of teachers and management team of the Colégio Nossa Senhora das Neves - Natal / RN about curriculum, school architecture and possible relationships established between these components. To develop the study, we rely on the theoretical contributions of Viñao Frago (2001), Escolano (2001); Benconstta (2005), among others, about the architecture school, and with regard to curriculum, ancoramo us in theoretical reflections Silva (2000, 2006, 2008). We assume that the school place is a social construct and as such, reflects the interests of certain groups, to organize, establish ways to condition their unctions and uses. In this space, people's lives is planned, both those who work there, as those who study there. Thus, the architecture school promotes, through representations, signs, symbols and shapes, certain charges that impact the ways of being and acting subjects by establishing appropriation and expropriation of rights and legitimate forms of inclusion and exclusion. Thus, it is an expression of power. A power that is expressed in the form of lead the way people should behave in a certain space. Clarity on these aspects of the architecture school is important, since in the same way that the opinion of several experts is important to discuss the adequacy of school architecture (environmentalists, architects, engineers, planners), the / the teacher / and the / as managers / must also meet the educational nature of the architecture school, so as to present its share of contribution in order to make the post-school conducive to learning multiple. From this perspective, we analyze the concepts of four teachers and eight individuals who are part of the management team of the CNSN, whose views were seized through participant observation, semi-structured interviews and documentary analysis. The construction of the data indicated levels of conceptual curriculum varied, ranging from those rooted in traditional theories of curriculum as those regarding the curriculum tied to discursive and contextual aspects. The conceptions of architecture school, predominantly focused on the aspects of the architecture school materials and most established subject, differently, relations between curriculum and school architecture

Narrativas de formação de professoras dos anos iniciais do ensino fundamental: Concepções e construções de necessidades formativas na Geografia Escolar

This article is about a study about the training needs for teachers of elementary school in the field of Geography. It is our objective to grasp their conceptions of training needs and reflect about their formative needs to teach geography. We consider the training as reflective process that involves the movement of changes and improvement beyond of formal learning, considering its numerous dimensions. We reflected about formative needs in light of the readings of Rodrigues Esteves (1993), Silva (2000), Roberts (2006), Vieira (2010). The discussions about conceptions were based on Ferreira (2007). The empirical reference constitutes to a private school in the city of Ceará-Mirim/RN, SECAT Centro de Ensino. The social subjects of our research are five teachers who work in the initial years of elementary school. We resorted a survey (auto) biographical, based on the studies of Passeggi (2011), Delory (2008), Bertaux (2010) e Josso (2010), since it is our intention to turn to the historicity of the subject and the learning, recognizing the links between him and the world and the experiences based on for learning and adult training. As technical and methodological procedure we will use the Training Narratives, whose application allows the understanding of memories and stories of schooling teachers, since are reported events occurred during the development of the individual through seminars Biographical. We observed on the narratives constructed by the teachers the absence assignments of meanings to a reworking of the theoretical formative needs and questions of its organizing principles. However, we notice the teachers were able to develop senses and means to conceive the phenomenon in study, in a descriptive way, through articulated enunciations, including aspects and opportunities linked to their teaching practices and future formative prospects. Regarding School Geography, we based our studies in the reflections of Smith Junior (1994, 2000), Tonini (2003), Vesentini (2004) and Vlach (1991), among others. We verified that the needs evidenced by the teachers to teach geography were constructed from the contexts of their teaching practices present in their school and professional trajectories. Therefore, we noticed the need for formal pedagogical qualification so that we can conceive the phenomenon in study beyond its descriptive character, understanding that it is necessary to point out reflections and questions about the dynamics of production of global capital, which conveys its interests in the contexts that often emerge formative needs of the educational system.

Não é que eu sei ser professora!: formação continuada e construção do currículo da matemática para o ciclo de alfabetização

Esta dissertação investiga como a prática da formação continuada em Matemática dos professores do Núcleo de Educação da Infância/Colégio de Aplicação (NEI/CAp) tem possibilitado a construção do currículo da Matemática para o ciclo de alfabetização nessa instituição. Assumimos os princípios metodológicos da abordagem qualitativa com ênfase na pesquisa colaborativa. Privilegiamos atividades de formação continuada organizadas em sessões de estudos e reflexões sobre a prática pedagógica que envolveram todos os partícipes. Para a construção dos dados realizamos a escolha de instrumentos e procedimentos metodológicos como a entrevista individual e as sessões reflexivas de videoformação e de estudo. Com a intensão de responder a questão central da pesquisa definimos duas categorias de interpretação: a formação continuada em Matemática dos professores do NEICAp dos anos iniciais do Ensino Fundamental e a construção do currículo da Matemática dos anos iniciais do Ensino Fundamental nesta escola. Constatamos que a prática da formação continuada em Matemática acontece dentro da própria instituição e tem como interesse, além da formação permanente dos seus professores, o desenvolvimento da escola e a aprendizagem dos alunos. Avaliamos que por meio de estudos e reflexões sobre as práticas docentes, análises de propostas pedagógicas de Secretarias de Educação e de outros documentos oficiais do Ministério da Educação, em momentos de formação continuada em contextos vivenciadas pelos professores do NEI/CAp, vem sendo possível construir o currículo desta instituição e, consequentemente, a sua proposta curricular, na qual privilegiamos a área da Matemática

A Proficiência escritora em matemática trabalhada nos livros didáticos dos 4º e 5º anos do ensino fundamental

Universidade Federal do Rio Grande do Norte

Concepções de homens quanto a influência de uma gravidez sobre outra

O processo de reprodução humana é caracterizado por experiências singulares que afetam o homem e a mulher de forma diferenciada. O homem que vivencia o processo gestatório de sua companheira, mesmo não sofrendo as modificações gravídicas, enfrenta transformações relacionadas ao papel que desempenha junto à mulher gestante. Tal vivência é entremeada por significados diversos que dependem tanto da forma como ele concebe a gestação de sua companheira, como da experiência com gestações anteriores. Sendo assim, torna-se imprescindível reconhecer as concepções masculinas acerca das repercussões que uma gravidez conduz nas experiências seguintes, a fim de promover uma atenção em saúde direcionada para as necessidades apresentadas pelo homem, favorecer seu envolvimento e responsabilização no processo gestatório de sua companheira. Com base no exposto, objetivou-se compreender a concepção de homens, que vivenciam a gestação de sua companheira, acerca da influência de uma gravidez anterior sobre as demais. Para tal foi realizado uma pesquisa qualitativa por meio de entrevista semi-estruturada com homens que vivenciaram duas ou mais gestações de sua companheira com intervalo de no máximo cinco anos entre tais experiências. Cumpre ressaltar que as entrevistas ocorreram após parecer favorável de no 045/2011, emitido pelo Comitê de Ética e Pesquisa da Universidade Federal do Rio Grande do Norte. Os dados foram coletados por amostragem teórica e analisados, seguindo as etapas da Teoria Fundamentada nos Dados, sob a ótica proposta pelo Interacionismo Simbólico. Seguindo o percurso dos referenciais adotados, foram elaboradas três categorias: Sentimentos vivenciados pelo homem diante da gestação da companheira, Expectativas do homem diante da gestação da companheira e Repercussões da vivência de uma gravidez anterior sobre a seguinte. A análise das propriedades e dimensões de tais categorias suscitou à construção da teoria Influências de uma gravidez sobre a outra. Assim evidenciou-se que a gravidez anterior influencia nos sentimentos do homem diante de uma nova gestação, nas suas expectativas, principalmente quanto ao sexo do segundo filho, bem como em suas atitudes e comportamentos diante da companheira, do primogênito e do recém-nascido. Revelou-se que em todos esses aspectos ocorreram processos interativos do homem consigo mesmo, com sua companheira e com o contexto social no qual estava inserido. Assim sendo, conclui-se que a interação que o homem estabelece com a experiência anterior conduz a determinação de seus sentimentos e ações frente ao advento de uma nova gravidez. Diante disso, compreende-se que o entendimento sobre tal assunto é imprescindível para fundamentar ações do enfermeiro voltadas à inserção do homem no processo de gravidez, por meio da compreensão das repercussões de vivências anteriores na sua experiência com as demais gestações. Essa compreensão possibilitará uma dinâmica familiar favorável à adaptações requeridas em processos gestatórios seguintes, centrada na satisfação e valorização de seus membros.

Concepções de policiais militares sobre cuidados com a saúde

A ausência de cuidados do homem com a saúde representa um fenômeno significativo, pois contribui para o aumento da morbidade e mortalidade masculina por causas evitáveis. Essa realidade torna-se mais relevante quando se trata do policial militar, devido às peculiaridades do seu processo de trabalho. Visto isso, considera-se que os cuidados de saúde adotados por policiais militares atrelam-se ao entendimento de que possuem sobre os agravos à saúde, o qual perpassa por concepções de gênero e da profissão. Isso levou ao seguinte questionamento: Como o policial militar concebe os cuidados com a saúde. Objetivou-se analisar concepções de policiais militares sobre cuidados com a saúde. Trata-se de um estudo exploratório e descritivo, com abordagem qualitativa, desenvolvido junto a um Batalhão Militar do Comando de Policiamento de Natal, Rio Grande do Norte, Brasil. A coleta de dados foi realizada no período de junho a julho de 2013. Essa etapa foi antecedida pela anuência do Comandante Geral da Polícia Militar do Rio Grande do Norte, sob a aprovação do Comitê de Ética em Pesquisa da Universidade Federal do Rio Grande do Norte, com o CAAE nº 15449713.7.0000.5537, e autorização formal dos entrevistados mediante a assinatura do Termo de Consentimento Livre e Esclarecido (TCLE), atendendo às exigências da Resolução 466/2012, do Conselho Nacional de Saúde, no que se refere à pesquisa com seres humanos. Participaram do estudo 21 policiais militares, do sexo masculino, que trabalhavam no policiamento ostensivo, não estavam de licença médica e apresentaram condições psicológicas e/ou físicas favoráveis para responder aos questionamentos. Os dados foram coletados por meio de entrevista semiestruturada mediante um roteiro constituído de duas partes: a primeira com questões sociodemográficas com vistas à caracterização dos participantes da pesquisa e a segunda com duas questões norteadoras relativas ao objeto de estudo. Os depoimentos foram tratados conforme o método de análise de conteúdo na modalidade de análise temática segundo Bardin. Desse processo, emergiram três categorias: hábitos de vida de policiais militares, repercussão do trabalho na saúde de policiais militares e atitudes de policiais militares em frente dos problemas de saúde. A análise dos dados foi subsidiada pelo referencial teórico do Modelo de Crenças em Saúde (Health Belief Model), de acordo com as variáveis vulnerabilidade e barreiras . Para respaldar a discussão dos resultados, buscou-se na literatura conhecimentos acerca da saúde do homem e do policial militar. Os resultados apontaram que os entrevistados procuram cuidar da saúde com práticas de exercícios físicos, alimentos saudáveis e preservação do sono. No entanto, vivenciam dores de coluna, ganho de peso, dificuldades para dormir, estresse e sofrimento psicológico. Diante disso, eles buscam apoio quando acometidos por agravos à saúde e reconhecem a necessidade de medidas de segurança durante o serviço. Portanto, notam a sua condição de vulnerabilidade em decorrência de seu ofício, porém enfrentam dificuldades na adoção de práticas preventivas de agravos a saúde. Mediante os resultados, faz-se necessário que o enfermeiro atuante junto a este público elabore, implemente e acompanhe estratégias de atenção a sua saúde

Padrões nutricionais para lavouras arrozeiras irrigadas por inundação pelos métodos da CDN chance matemática

Para o arroz irrigado, poucos trabalhos utilizam métodos de diagnose foliar desenvolvidos para as condições locais de clima, solo ou cultivares. O objetivo deste trabalho foi avaliar os métodos da Diagnose da Composição Nutricional e da Chance Matemática na definição dos padrões nutricionais de lavouras arrozeiras do Estado do Rio Grande do Sul. Resultados de produtividade de grãos e teores foliares de N, P, K, Ca, Mg, S, B, Cu, Fe, Mn, Zn e Mo de 356 lavouras arrozeiras cultivadas sob sistema de irrigação por inundação foram utilizados para a determinação das faixas de suficiência calculadas pelo método da Chance Matemática. As faixas de suficiência foram comparadas com valores críticos propostos pela literatura e com o intervalo de confiança do teor médio dos nutrientes em lavouras consideradas nutricionalmente equilibradas, identificadas pelo método Diagnose da Composição Nutricional. Observou-se pouca concordância entre os valores das faixas de suficiência indicados pelos métodos da Chance Matemática e da Diagnose da Composição Nutricional e os respectivos valores indicados na literatura. A faixa de teores foliares adequados, consistentes com maior produtividade média das lavouras arrozeiras, foi indicada ser de 23 a 28 g kg-1 para N; 11 a 14 g kg-1 para K; 1,4 a 2,0 g kg-1 para S; 6 a 12 mg kg-1 para B; e 70 a 200 mg kg-1 para Fe. Para os teores foliares de P, Ca, Mg, B, Cu, Mn e Zn e Mo nenhuma das faixas adequadas testadas indicou capacidade para distinguir as lavouras arrozeiras quanto à produtividade média.

Uma Fundamentação Intervalar Aplicada à Morfologia Matemática

This work present a interval approach to deal with images with that contain uncertainties, as well, as treating these uncertainties through morphologic operations. Had been presented two intervals models. For the first, is introduced an algebraic space with three values, that was constructed based in the tri-valorada logic of Lukasiewiecz. With this algebraic structure, the theory of the interval binary images, that extends the classic binary model with the inclusion of the uncertainty information, was introduced. The same one can be applied to represent certain binary images with uncertainty in pixels, that it was originated, for example, during the process of the acquisition of the image. The lattice structure of these images, allow the definition of the morphologic operators, where the uncertainties are treated locally. The second model, extend the classic model to the images in gray levels, where the functions that represent these images are mapping in a finite set of interval values. The algebraic structure belong the complete lattices class, what also it allow the definition of the elementary operators of the mathematical morphology, dilation and erosion for this images. Thus, it is established a interval theory applied to the mathematical morphology to deal with problems of uncertainties in images

Uma fundamentação matemática para processamento digital de sinais intervalares

This work deals with a mathematical fundament for digital signal processing under point view of interval mathematics. Intend treat the open problem of precision and repesention of data in digital systems, with a intertval version of signals representation. Signals processing is a rich and complex area, therefore, this work makes a cutting with focus in systems linear invariant in the time. A vast literature in the area exists, but, some concepts in interval mathematics need to be redefined or to be elaborated for the construction of a solid theory of interval signal processing. We will construct a basic fundaments for signal processing in the interval version, such as basic properties linearity, stability, causality, a version to intervalar of linear systems e its properties. They will be presented interval versions of the convolution and the Z-transform. Will be made analysis of convergences of systems using interval Z-transform , a essentially interval distance, interval complex numbers , application in a interval filter.