863 resultados para Initial Mathematic Teacher Training
Resumo:
Aquesta tesi se situa en una perspectiva de l'Educació Ambiental adreçada a la Sostenibilitat i com a nucli catalitzador d'una Educació per al Canvi. Amb la investigació que es presenta es pretén, a més, contribuir a reduir el buit existent entre el marc teòric de l'Educació Ambiental i la seva transposició didàctica en la formació inicial del professorat, i al mateix temps poder fer aportacions significatives en el camp dels enfocaments pedagògics i estratègies metodològiques d'aquest àmbit de l'educació. En primer lloc, es presenta una anàlisi del marc teòric que ha informat el desenvolupament de l'Educació Ambiental, la seva reorientació i reconceptualització en la dècada dels anys noranta, i s'exposen el debat i les tendències actuals. A continuació es presenta l'anàlisi del nivell d'incorporació de l'Educació Ambiental, així com dels factors que en limiten o dificulten una plena integració, tant a nivell de l'etapa d'educació primària, com en la formació inicial del professorat. Es porta també a terme una revisió i una anàlisi exhaustiva de l'estat actual de la investigació en Educació Ambiental, a nivell nacional i internacional, i a partir d'ella es revela el dèficit que existeix, particularment, en la investigació educativa en Educació Ambiental en la formació inicial del professorat, i sobretot en el camp dels enfocaments pedagògics i estratègies metodològiques. El propòsit concret de la investigació se centra en: (i) analitzar l'impacte d'un enfocament metodològic (metodologia triaxial) aplicat en un curs d'Educació Ambiental en formació inicial del professorat; (ii) explorar el procés de formació en Educació Ambiental des del propi pensament dels estudiants. Aquest propòsit general ha portat la definició dels objectius d'investigació següents: (a) dissenyar i aplicar un enfocament metodològic triaxial en la formació en Educació Ambiental del professorat; (b) dissenyar i aplicar els instruments que promouen el procés de reflexió, individual i col·lectiu, en els estudiants; (c) explorar el procés de formació en Educació Ambiental des del pensament dels estudiants i a través dels instruments utilitzats per a la reflexió; (d) valorar la metodologia triaxial en la formació en Educació Ambiental de futurs i futures mestres d'Educació Primària. Cal destacar que la metodologia triaxial elaborada i aplicada es basa en la integració de tres eixos processals: procés d'investigació, procés de reflexió i procés de treball cooperatiu, i és consistent amb el model teòric que s'exposa i es defensa en la investigació (el capítol 5 tracta, concretament, del disseny, estructuració i desenvolupament del curs fonamentat en aquesta metodologia) La investigació se situa en el paradigma interpretatiu d'investigació educativa i en una metodologia d'anàlisi qualitativa. La mostra l'ha constituïda un grup classe, 42 estudiants, del 3r curs dels estudis de Magisteri, curs 1998/99, de la Universitat de Girona. Els instruments d'anàlisi han estat els instruments de reflexió, individual i col·lectiva, utilitzats en el curs. Destaquem l'ús d'un diari de grup, especialment dissenyat i estructurat per a promoure la reflexió col·lectiva, com l'aportació més rellevant en relació als instruments per a la reflexió. El diari de grup ha estat l'instrument vertebrador de la metodologia d'anàlisi qualitativa, i, tal com s'ha aplicat en aquesta investigació, s'ha validat com a un instrument nuclear i eficaç per a la reflexió de grup, i per explorar i analitzar el procés de formació en Educació Ambiental i de la formació professional general del grup d'estudiants. La resta d'instruments han estat, bàsicament, qüestionaris individuals, en diferents moments del curs; els documents produïts pels estudiants (propostes didàctiques en Educació Ambiental) i la memòria de la investigadora. La triangulació s'ha realitzat a través de tots els instruments. En la investigació es presenta, de manera detallada, com s'ha dut a terme el procés d'anàlisi de cadascun dels instruments i els resultats extrets. L'anàlisi dels resultats ha permès dibuixar l'evolució del pensament dels estudiants al llarg del curs i realitzar una anàlisi holística i multidimensional del seu procés de formació en Educació Ambiental. S'ha produït un canvi substancial en relació a la comprensió i assumpció dels components de l'Educació Ambiental: rellevància, holisme, educació crítica, educació en valors, capacitat de responsabilitat, d'acció i d'atendre diferents punts de vista i perspectives. Al llarg del curs i del procés hi ha una clara potenciació de qualitats dinàmiques. Al mateix temps, l'anàlisi revela la interdependència real i efectiva dels tres processos que configuren la metodologia triaxial i la seva clara influència en la formació en Educació Ambiental del grup d'estudiants i en la construcció dels seus models didàctics. En la investigació es conclou, entre altres aspectes, que l'enfocament metodològic, basat en un procés triaxial, aplicat en la formació inicial del grup de futurs i futures mestres, ha resultat de gran eficàcia i rellevància en la seva formació en Educació Ambiental i, també, en la seva formació com a professionals investigadors, crítico- reflexius, amb capacitat d'innovació i amb un grau més alt d' "empowerment". Cal dir que la metodologia triaxial es revela amb altes possibilitats de transferència i adaptabilitat a altres estudis. La transferibilitat d'aquesta metodologia serà objecte de seguiment investigatiu amb el propòsit de trobar les orientacions pedagògiques més adequades a cada àmbit i situació, ja que pot oferir aportacions valuoses en el camp de l'Ambientalització Curricular dels estudis universitaris.
Resumo:
Investigar a práxis docente no contexto escolar nos permite uma reflexão sobre os tipos de estruturas de aprendizagem utilizadas na educação e suas implicações para o conhecimento, visto que dentre os aspectos do conceito de práxis que trazem contribuições significativas para a área educacional está a concepção de que a práxis busca o movimento, a transformação e, por isso é essencialmente dinâmica. Esta proposta de investigação aborda especialmente a prática educativa desenvolvida no 1º ano do ensino fundamental, buscando detectar as concepções que a fundamentam no processo de ensino aprendizagem da criança de seis anos que se encontra em estágio inicial de escolarização, caracterizando-se, dessa forma, em uma pesquisa de natureza empírica e de caráter descritivo com uso da abordagem qualiquantitativa. O estudo foi organizado em quatro capítulos: o primeiro faz referência à trajetória do ensino fundamental no Brasil; o segundo é um breve estudo sobre a história e contextos da formação de professores; o terceiro faz uma análise da práxis docente no cotidiano escolar; e o quarto capítulo descreve os motivos que levaram à pesquisa e a metodologia construída para a coleta, análise e discussão dos dados obtidos, permitindo-nos refletir se a práxis docente no primeiro ano do ensino fundamental em escolas da rede pública de Manaus é condizente com o perfil da criança de seis anos.
Resumo:
O presente trabalho teve como ponto de partida os resultados dos rendimentos escolares apresentados pelo SAEB (Sistema de Avaliação da Educação Básica) e o SAEPE (Sistema de Avaliação Escolar de Pernambuco), frente às ações de intervenções promovidas pelas políticas públicas implementadas pelo governo de Pernambuco, através dos programas de formação continuada, direcionados na perspectiva de reverter os baixos índices do rendimento escolar, o que nos possibilitou a delinear objetivos que nos permitissem a identificar a relação entre os indicadores do SAEB, SAEPE e Programas de Formação Continuada no redimensionamento do saber fazer docente e implicações na melhoria do desempenho docente, bem como identificar limites e possibilidades da formação na melhoria do desempenho docente, em razão dos indicadores apresentados. As transformações do mundo têm interferido de forma contundente no campo da educação, bem como nos vários aspectos da gestão educacional, escolar, curricular e particularmente na formação continuada, com vistas no desempenho docente, tendo como objeto crescente a atenção dos pesquisadores com atuação na educação. As políticas educacionais no Brasil vêm demonstrado preocupação com a qualidade do ensino ofertada pela escola pública, decorrente das pressões dos organismos internacionais, que veem na educação a solução dos problemas enfrentados por um mundo cada vez mais globalizado, de transformações e descobertas tecnológicas que caracterizam hoje, a chamada sociedade do conhecimento. Tal contexto, em que a escola pública brasileira se encontrava, mobilizou os gestores a buscarem ações de intervenção no sentido de reverter o quadro tão comprometedor que o ensino público da Educação Básica brasileira se apresentava. O repensar das práticas pedagógicas vivenciadas no contexto escolar, recai sobre o professor, a responsabilidade do resultado que a escola apresenta. Falar da prática pedagógica recai necessariamente na formação inicial e continuada desse professor. Para sua realização utilizou-se uma abordagem quantitativa e qualitativa. As técnicas de coleta de dados foram aplicação de questionários a 100 professores da educação básica da rede pública, entrevistas com cinco formadores e análise dos documentos relacionados com a política de formação continuada. O estudo demonstrou que o modelo proposto, pouco tem contribuído para o desenvolvimento profissional docente, não envolvendo, portanto, o professor diretamente no processo formativo, com exceção dos que participam de alguns programas (SAEB / SAEPE) que visam diretamente à melhoria dos índices de aprendizagem em língua portuguesa e matemática, na perspectiva de que a formação os instrumentalize a aplicar técnicas, que a formação continuada não atende nem suas necessidades, nem da escola. Os demais professores só se encontram uma vez por ano, em estilo de grande evento, enquanto as formações ocorrem de forma desarticulada e fragmentada. Em consequência, foram apresentadas algumas reflexões no intuito de provocar e contribuir na revisão da concepção de formação continuada vivenciada pelos professores da rede pública do ensino de Pernambuco.
Resumo:
Longe vão os tempos em que a formação inicial dos docentes era tida como suficiente para o desempenho da profissão. Hoje, a sociedade e o poder político requisitam aos professores maior abrangência nas suas competências profissionais, no sentido de estes serem capazes de responder adequadamente às exigências que enfrentam. A tutela, por seu turno, responde com programas de apoio do tipo TEIP (Território Educativo de Intervenção Prioritária) à enorme variedade de alunos e contextos socioeconómicos. É no seio desta realidade que se coloca a questão: como implementar práticas colaborativas, potenciadoras do desenvolvimento profissional dos professores do Departamento de Matemática e Ciências Experimentais, numa escola TEIP? Fullan e Hargreaves (2001) defendem que só a existência de um trabalho conjunto, a responsabilidade partilhada, o empenhamento e o aperfeiçoamento coletivos, a maior disponibilidade para participar na difícil atividade de reflexão crítica, acerca do trabalho realizado, e uma cultura colaborativa é que poderão conduzir a progressos significativos, na melhoria dos resultados e, consequentemente, no real desenvolvimento profissional docente. Contudo, quer a abertura das salas de aula ao exterior, quer a inclusão de todos os alunos nas mesmas, representam ainda, e em geral, um desafio para muitos docentes. É neste contexto que se apresenta um projeto de formação que tem, como campo de análise, a formação de professores, centrada na escola e ancorada na colaboração e supervisão interpares. A formação referida visa: desenvolver uma cultura de positividade e propositividade; criar, promover, analisar e partilhar experiências e inovações realizadas em contexto; desenvolver experiências consequentes sob o ponto de vista do desenvolvimento profissional docente, ao nível da sala de aula; refletir, em conjunto, sobre estratégias exequíveis e indutoras da melhoria do comportamento e das aprendizagens dos discentes. Com estes propósitos, ancorar-se-á a oficina de formação na criação de tarefas a serem experimentadas em contexto, na observação de aulas e na experiência dos intervenientes, baseada na reflexão sobre as práticas e focalizada nos problemas correntes. A expectativa sobre os resultados a obter com esta formação é grande e alicerça-se no trabalho empírico levado a cabo, tendo os principais resultados apontado, claramente, no sentido da necessidade e disponibilidade, por parte dos docentes, para participarem numa oficina de formação cujos objetivos fossem os citados.
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The paper reports on research into what may have influenced trainees on four post-graduate teacher training courses in England to become specialist drama teachers rather than pursue careers in the world of professional entertainment. In doing so it raises questions regarding the value of considering teaching as a performing art. The paper goes on to explore how drama trainees regard an understanding of performance, and an ability to both use and demonstrate performance techniques, as integral to their role as subject specialists. The subsequent discussion examines how a drama teacher’s professional identity may be seen as being made up of the three inter-connected elements, self, role and character. Thus, while all teaching may be considered to involve some elements of performativity , this paper suggests that, for the drama specialist, an understanding of what constitutes ‘performance’ has a particular importance. One conclusion drawn from the research is that recognising the place of performance in their practice may result in experienced teachers of drama regarding themselves as artists whose art is teaching drama; another is that recognising the different ways in which adopting a role may involve performance could be of value to all teachers and teacher educators.
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Syftet med denna studie är att få kunskap om lärares syn på matematikläxor i grundskolans tidigare år. Förhoppningen var att få förståelse för lärares syfte med matematikläxor och vilka förmågor eleverna förväntas utveckla med matematikläxors hjälp samt att jämföra vilka för- och nackdelar matematikläxan har. För att undersöka detta har sju intervjuer gjorts med lärare från olika skolor och olika årskurser från 1-6. Samtliga lärare som intervjuats undervisar i matematik. Lärares erfarenheter av läxornas betydelse för matematikundervisningen är ett viktigt område att få kunskap om. De lärare som deltog i intervjuerna uttryckte olika synpunkter på matematikläxan. Något lärarna var överens om var att läxa är en skoluppgift som eleven tar med hem efter skolans slut och arbetar med hemma. Lärarna uttryckte samstämmigt att eleverna inte utvecklar några förmågor med matematikläxans hjälp utan förmågorna utvecklar eleverna i skolan med hjälp av lärarna. Det framgick att samtliga lärare upplevde att matematikläxan var tidskrävande och för att matematikläxan ska nå syftet på bästa möjliga sätt behövs mer tid. Att läxan kopplas till undervisning och uppföljning är centralt för att syftet med matematikläxan ska uppnås enligt de intervjuade lärarna. Av resultaten framgår att några lärare är negativt inställda till matematikläxor för att uppföljning och koppling till undervisningen inte finns med och därför förlorar matematikläxan sitt syfte. Föräldrarnas förutsättningar är väldigt olika som exempelvis att de har svårigheter med det svenska språket eller inte är engagerade i barnets skolgång. Andra lärare är positivt inställda till matematikläxor för att färdighetsträningen och repetitionen är viktig och tiden som behövs för det inte räcker till i skolan.
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In 1977, when teacher education inSwedenwas incorporated into the university system, the main reason was to transform it into an academic tradition. Now, nearly 30 years later, there is still tension between the academic and the vocational tradition; they show up as different and separated elements in a program that is meant to prepare students for a career as a teacher and for a possible future career as a researcher in this field. This tension gives rise to a risk of allowing parallel “tracks” to develop and of isolating the degree thesis work from other courses. On the teacher-training program in which we are involved, close co-operation with partner-schools, where the practical part of the program takes place, has been established. Here, the students´ degree theses are an important factor in making this co-operation work on a concrete level. Accordingly, the purpose of the degree thesis is both to reflect problems in schools and contribute to better teaching in the individual school, but also to offer relevant educational subject matter to the students, which may be adapted as an element in the university’s research environments. From these points of view, the degree thesis is an important part of teacher education and rather more than just a single course. The degree thesis should be an element that gives the students an opportunity to show that they have reached central goals in the teacher education program. It should also be an integral part in the development of critical and scholarly thinking, deepening pedagogical and didactic knowledge and giving the students an opportunity to apply research methods. We will here use two minor case studies: one that compares teacher education programs in five Swedish universities and one minor study at one of those universities, in order to elaborate on the questions: - What purpose has a degree thesis and what role does it play in teacher education? - What criteria are relevant to assessing a degree thesis and what qualities do the degree theses have? - Is it possible to assess a degree thesis fairly and what happens to students who do not pass? - How could the degree thesis be used to improve the contact between the teacher education program and its partner schools in order to contribute to the development of the individual school?
Resumo:
Esta pesquisa analisa a experiência de formação em história, na modalidade a distância, de professores-leigos da educação básica dos estados do Ceará, Bahia, Maranhão e Sergipe, contemplados pelo Programa Pró-Licenciatura II, financiado pelo Ministério da Educação, graças ao consórcio firmado entre a Pontifícia Universidade Católica do Rio de Janeiro e a Universidade do Estado do Rio de Janeiro, entre os anos de 2006 e 2010. O objeto do estudo foi a aplicabilidade da Lei nº 11.645/08, antes Lei nº 10.639/03, que alterou a Lei de Diretrizes e Bases da Educação Nacional nº 9.394/96, ao instituir a obrigatoriedade do estudo da história e cultura afro-brasileira e indígena em todos os estabelecimentos de ensino fundamental e de ensino médio, públicos e privados do país. Há uma produção significativa de estudos que relacionam educação e relações etnicorraciais, porém são escassos os trabalhos voltados para a formação inicial e/ou continuada de professores. Quais disciplinas são oferecidas? Como o tema aparece no currículo? Como os licenciandos e professores lidam com a obrigatoriedade da Lei? Como ocorrem a produção e a mobilização dos saberes, assim como as práticas sobre esse tema? E qual o nível de comprometimento com o mesmo foram algumas das questões que nortearam a pesquisa. A resposta para essas questões foram orientadas pelas contribuições de Maurice Tardif sobre os saberes docentes, amparadas em metodologia de estudo de caso que utilizou entrevistas semiestruturadas, questionários, análises das aulas-texto produzidas pelos formadores, do ambiente online da disciplina e dos documentos formais que organizaram o curso e instituíram a citada Lei. A investigação revelou um esforço dos docentes formadores e dos professores-cursistas em se munir de saberes e práticas concernentes aos temas da Lei, por outro lado, alguns fatores impuseram limites à profissionalização, como a modalidade a distância, o desconhecimento sobre o tema e a disponibilidade de tempo dos professores-cursistas.
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The thesis: "autobiographical narrative as practical continuous training and updating of itself: the groups-reference and the reflexive group in the mediation of identity construction of teaching" begins in the founder matter: "What are the implications of groups-reference in the process of identity formation and the teaching role of teachers which is participating of the research? This object of study deals with the continuing education of teachers of Basic Education and the role of the reflective group as space-time of (re) construction of educational knowledge, for the recognition of yourself. The thesis defends that the autobiographical narrative, as a pedagogical tool and research, for the initial and continuous training, is presented as theoretical and methodological foundation necessary for identity formation of the teacher. The research is limited to the qualitative approach with a focus on the autobiographical narrative. The participants are six teachers, three teachers and three students-teachers. The corpus comprises six autobiographical narratives, six reports of successful experiences, two studies on the biographical work, and six individual testimonials about the impact in personal and professional life. The data analysis was to reference Dausien and Alheit (2006), Bruner (1997), Contreras (2002), Delory-Momberger (2007), Freire (2005), Giddens (2002), Josso (2004), new (1988, 2002), Passeggi (2001, 2002), Pineau (2004), Ricoeur (2004), Souza (2006), Tardif (2002) and Vygotsky (2005). The research revealed that the formation of identity as a teachers of the educators occurred in the reference group, involving the formal, non-formal and informal of the processes of knowledge , in a movement of alternation training that includes yourself, the other and the ambient. Also revealed that the pedagogical choices of the teachers studied aimed at minimizing educational gaps that were lived in both field personal and social; that the personal identity is configured as an identity narrative and the methodology of the biographical work, through the mimesis of continuing education, provided the passage from the group reflective to the group of reference
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Study of Teacher Education Policy: a reading from the analysis of Programa Especial de Formação de Professores para a Educação Básica Proeb - aims to analyze the initial teacher training developed by the Universidade Federal do Maranhão - UFMA. Proeb is a policy of in-service training of teachers, formulated and implemented in the context of current educational policies for basic education. This work assumes that the guidelines developed in the last decades of the twentieth century are linked to international organizations that spread in Latin America continent a homogeneous model of training which has as main features to be held in service through the mode the distance and the school as a leading locus. In Brazil, these guidelines are supported on the Law of Directives and Bases of National Education No. 9.394/96 and Report 09/2001, which deals with the Syllabus Guidelines for the formation of Basic Education Teachers. To carry out the study was taken as reference, the syllabus developed for the deployment of Proeb from 1998 to 2002, specifically the proposal operationalized in the Degree Course of Mathematics in the city of Vitória do Mearim in Maranhão. To conduct the study, it was used literature as a way to deepen understanding, clarify and aim the conceptual aspect of the object researched. The documental research was consisted in the analysis of legal documents concerning the reform of education policies, teacher training and pedagogical project Proeb/UFMA and, finally, the semi-structured interviews were used to allow a better understanding of the subjects involved with research. The data analysis has shown that the curriculum designed to operationalize the course of undergraduate mathematics Proeb/UFMA, despite having guidelines that point to the separation of theory/practice dichotomy and establish as a principle work as an educational principle, has an disciplinary curriculum organization that reinforces the instrumental view of the syllabus, not enabling in practice, the execution of their initial proposal. Concerning to the view of graduates on the course, they highlight the weaknesses of the course, but also evidence that it has allowed an improvement of initial training, through the disciplines of the common core syllabus of courses and special training. It is possible seeing in graduates words, that the course have had repercussions in their teaching and improving their integration into the labor market and in the community of Vitória do Mearim. Overall, these developments have indicated evidence of teacher professionalization, although they are incipient. The work has shown that for the professionalization of teachers is introduced, the syllabus of undergraduate teacher education must overcome the traditional view of syllabus and implement contextualized curricula in a multidisciplinary approach involving, in equal proportions, the general education and training specific course. Accordingly, it is believed in need to review the role of the University in the formative process, as well as recovering as part of educational policies, the omnilateral size of teacher education
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This work arose from our concerns with the issues of teacher training for early childhood education. From the difficulties encountered as a novice teacher in elementary, we deem important to research training needs of these professionals. Thus, we define the objective of this research to investigate the training needs of novice teachers teaching Early Childhood Education/Elementary school. Our work fits in Educational Research Qualitative Approach, and its construction procedures of the semistructured interview data and document analysis. Our empirical field was made up of schools in the metropolitan region of Natal / RN, offering kindergarten / elementary school. The subjects are five teachers who act as holder of the elementary school class and have 0-3 years of teaching practice, characterizing the second Huberman (2007) as novice teachers. Data analysis, based on principles of content analysis, three themes emerged: Beginner Teaching Professor in Early Childhood Education / Preschool; Reasons explaining the difficulties Faculty / Formative Needs Teaching and Training in Early Childhood Education / Elementary school, from the Training Needs Analysis, with their respective categories, subcategories, contributing to our understanding of the subject matter. The entry into the profession is marked by mixed feelings of euphoria and fear, where there seems to be a "clash" with reality. The difficulties are related to the planning / execution of activities, meet the individual needs of learning and assessment of children. As a strategy to overcome the difficulties the teachers exercise the action-reflection-action in their practices and seek continuous updates in the theoretical and methodological framework of early childhood education. The reasons that define these difficulties may be related to the teacher, school, family, and students of these institutions. In experiencing these difficulties has outlined the need for teacher training, among which stand out studies on ethics in teaching with children, the concept of children and their childhoods, peculiarities of teaching / learning in preschool, toys and legal determinations on early childhood education, multi-language and expressions in early childhood education, specific content areas of knowledge, among others. Furthermore, studies on the theoretical as Piaget, Vigotsky, Maria Carmen Barbosa and Emily Smith. For these professionals to be a professional early childhood education is: like children, be patient and careful, have specific theoretical and practical training for teachers in kindergarten, being able to improvise with seriousness and competence and get updates on continuing education. The surveys, together with the authors and teachers, to confirm our understanding that the training needs of beginners may be related to shortcomings in the initial and continuing education
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This paper presents a discussion about the use of the History of Mathematics as an educational resource and conceptual mediator in the formation of teachers who teach mathematics in the years of elementary school. It was a qualitative action method, in order to show the importance of holding workshops of History and Pedagogy of Mathematics as contribution to overcome the conceptual difficulties of teaching and teachers regarding the content covered in the course of education and afterwards they have to teach in the early of elementary school. We assume that understanding the historical, social and cultural comprehension as a conceptual and didactic focus effectively nurture the pursuit of a teaching and learning of mathematics students safe and justified in order to contribute to overcoming the difficulties of teaching and learning usually occurred in the classroom of the early years. In this sense, we organized a study group formed by students of Bachelors in Education and Mathematics at the University of Piauí. We developed five training workshops in History and Pedagogy of Mathematics, with a workload of 20 hours each and four follow-up sessions and advicement, totalizing 180 hours. The purpose of workshops was to develop studies on the History of Mathematics that could support the formation of a conceptual and didactic group with a view to prepare teaching materials and activities based on information drawn from undertaken historical studies .The products designed were used in formation of the group itself and will later be used in training teachers of public school in Teresina, in the form of workshop of History and Pedagogy of Mathematics in order to overcome problems arising from teaching and conceptual this education degree in Education Based on the obtained informations it was possible to suggest new referrals procedural level of education and university extension that may contribute to the reorientation of initial and continuing training of teachers in the early years elementary school
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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