Made available in DSpace on 2016-04-27T16:57:50Z (GMT). No. of bitstreams: 1 dissertacao_leila_souto_assis.pdf: 603489 bytes, checksum: cfdb80c1882cb67e78497cae17d0751a (MD5) Previous issue date: 2005-11-29 / The present study investigates the Mathematics teachers conceptions about the possible uses of learning objects from RIVED-Brazil project as potential aided resources in the Mathematics presential teaching and learning process using computational environments. In order to identify such conceptions, we assumed a qualitative approach through case study, under GODOY (1995) and CHIZZOTTI (2003) perspectives, of RIVED-Brazil project, adopting semi-structured interviews as our data collecting technique based con TRIVIÑOS (1987) perspective. Interested in this reflection, we analyze the current practices of the interviewed teachers, their intentions and ideal expectations about the tools, resources, technologies and environments as well as, after these points of view, we present the two educational modules selected for this research, intending identify which are the possibilities that, for these Mathematics teachers, can immerge from the use of them. Our aim is to study the potential contributions that can occur from the integration among the use of Mathematics learning objects, which belong to the educational modules selected for this research, and the expectations and current teaching practices of the interviewed teachers. In order to do that, three Mathematics teachers were interviewed and two educational modules were selected from RIVED-Brazil project, analyzing all of that under some aspects related to Activity Theory based on ENGESTRÖM (1999) perspective, mainly focusing on the expansive cycle definition / A presente pesquisa aborda as concepções de professores de Matemática frente à possível utilização de objetos de aprendizagem do projeto RIVED-Brasil como recurso potencialmente auxiliador no processo de ensino-aprendizagem presencial da Matemática realizado em ambientes informatizados. A fim de identificar tais concepções, adotamos uma abordagem qualitativa através do estudo de caso, na visão de GODOY (1995) e CHIZZOTTI (2003), do projeto RIVED-Brasil, utilizando como técnica de coleta de dados entrevistas semi-estruturadas apoiadas em TRIVIÑOS (1987). No enfoque desta reflexão, analisamos as práticas atuais dos educadores entrevistados, suas pretensões e expectativas ideais em termos de ferramentas, recursos, tecnologias e ambientes bem como, após estas considerações, apresentamos os dois módulos educacionais selecionados para esta pesquisa, buscando estabelecer quais são as possibilidades que, nas visões destes professores de Matemática, podem surgir a partir de seu uso. Nosso objetivo é estudar as potenciais contribuições que poderão emergir da integração entre uso dos objetos de aprendizagem de Matemática pertencentes aos módulos educacionais selecionados e as expectativas e práticas de ensino dos docentes entrevistados. Para esta verificação, contamos com a participação de três professores de Matemática e utilizamos dois módulos educacionais selecionados do projeto RIVED-Brasil, analisados sob alguns aspectos da Teoria da Atividade segundo a perspectiva de ENGESTRÖM (1999), principalmente quanto ao conceito de ciclo expansivo

Made available in DSpace on 2016-04-27T16:57:53Z (GMT). No. of bitstreams: 1 dissertacao_eduardo_sad_costa.pdf: 3568903 bytes, checksum: 4e09f1b15f7714b64ad56708b0bd9974 (MD5) Previous issue date: 2007-05-21 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This work involves a qualitative study about whether and how mathematics High-School teachers work with their students the trouble-situations regarding linear Diophantine equations. The study was performed by means of analyzing semi-structured interviews applied on six mathematics teachers from the states of São Paulo and Minas Gerais, teaching at high-school level. The Numbers Elementary Theory has been treated by several researchers on Mathematical Education, as Campbell e Zazkis (2002), Resende (2007), as an adequate subject for the introduction and development of fundamental Mathematical ideas in High- School. However, the results of such investigation show that, although the interviewed teachers affirmed that they did work with problems of discreet mathematics that can be modeled through linear Diophantine equations, none of them seemed to work with their students using the knowledge of these equations properties in order to decide whether they have solution, and what these solutions would be / Neste trabalho apresento um estudo qualitativo sobre se, e como, professores de Matemática do Ensino Médio trabalham com seus alunos situações-problema que recaem em equações diofantinas lineares. O estudo foi feito por meio da análise de entrevistas semi-estruturadas realizadas com seis professores de Matemática dos estados de São Paulo e Minas Gerais que lecionam no Ensino Médio. A Teoria Elementar dos Números vem sendo tratada por diversos pesquisadores de Educação Matemática, como Campbell & Zazkis (2002), Resende (2007), como assunto propício para a introdução e desenvolvimento de idéias Matemáticas fundamentais no Ensino Básico. No entanto os resultados desta investigação indicam que embora os professores entrevistados afirmassem trabalhar com problemas de matemática discreta modeláveis via equação diofantina linear, nenhum deles deu indícios de trabalhar com seus alunos utilizando conhecimentos das propriedades dessas equações para decidir se as mesmas tem solução e quais seriam essas soluções

Made available in DSpace on 2016-04-29T14:32:25Z (GMT). No. of bitstreams: 1 dissertacao_edda_curi.pdf: 596529 bytes, checksum: 2e6bb0d773993bb514e7e6de0fc17eb9 (MD5) Previous issue date: 2000-05-17 / The present study aims to contribute for a reflection on the necessary changes to the teachers graduation courses in Mathematics. It is inserted in the research field called teachers education of the postgraduating course in Mathematics Education in the Center of Sciences and Technology of the Pontifícia Universidade Católica de São Paulo PUC/SP. The researcher followed the improvement in Mathematics knowledge of a group of 377 teachers at a one year graduation course in Mathematics specially planned for teachers who were already teaching Maths at public schools in the state of São Paulo and had their degree in Sciences. The researcher could draw the profile of a significant number of Mathematics teachers, their conceptions about Maths and its teaching and their professional needs. The research shows the need to implement changes in the pre-service and in-service education both in the specific field and in educational matters. In order to identify the main elements for a discussion about the professional needs of the group, and to identify the demands for teachers graduation courses in Mathematics, categories related to context, entrance, process and product variables were used for the analysis. For a deep understanding of the characteristics for a continued education program the history of teachers education in Brasil since its origins were reviewed / O presente estudo pretende contribuir para uma reflexão sobre as transformações necessárias nos cursos de Licenciatura em Matemática. Está inserido na linha de pesquisa Formação de Professores do curso de Pós Graduação em Educação Matemática do Centro de Ciências Exatas e Tecnologia da Pontifícia Universidade Católica de São Paulo.- PUC/SP. A pesquisa ressalta a melhoria nos conhecimentos matemáticos de um grupo de 377 professores num ano de complementação para a Licenciatura Plena de Matemática especialmente planejado para professores que já estavam lecionando Matemática em escolas públicas do Estado de São Paulo e tinham como formação inicial um curso de Licenciatura Curta em Ciências. A pesquisa permitiu delinear o perfil de um número significativo de professores de Matemática, suas concepções sobre Matemática e seu ensino e suas competências profissionais. Mostrou a necessidade de implementar mudanças na formação inicial e continuada, tanto no campo específico como no campo educacional. No sentido de identificar os principais elementos para a discussão sobre as competências profissionais do grupo e identificar demandas de cursos de Licenciatura em Matemática, foram usadas como categorias de análise variáveis de contexto, de entrada, de processo e de produto. Para a melhor compreensão das características dessa formação, busquei suas raízes, fazendo uma retrospectiva do processo histórico da formação de professores, no Brasil

Dans le contexte actuel de réformes des programmes de langue française à l’Université Libanaise, les institutions franco-libanaises se repositionnent pour améliorer la formation des enseignants du secteur public. Dans ce cadre, cette recherche s’attache à proposer un programme linguistique conçu à partir d’une ingénierie pédagogique de type FOS. Elle vise à améliorer le niveau de langue des enseignants de mathématiques bilingues pour offrir à l’Éducation de Base publique (cycle primaire) des maîtres d’école capables de communiquer efficacement en français et par conséquent de contribuer à améliorer le niveau de français de leurs élèves. À ce titre, la première phase de cette étude consiste à définir les enjeux politiques et institutionnels liés à la mise en œuvre d’un programme sur mesure. Ensuite, à travers l’analyse des besoins langagiers d’une part, et d’un corpus filmé, transcrit et enrichi d’observations d’autre part, nous étudions les pratiques langagières et examinons les fonctions de la parole enseignante. Cette étude convoque les outils conceptuels de l’analyse des discours et de la pragmatique linguistique. Un regard croisé sur les analyses a permis de dégager des objectifs didactiques spécifiques inscrits dans une perspective interventionniste. Les principales propositions prônent une didactisation de l’alternance codique et ciblent des tâches professionnelles prioritaires telles qu’exposer une démarche pour calculer, animer en français un cours de mathématiques et utiliser les manuels dans l’enseignement/apprentissage de cette discipline.Finalement, une offre de formation complète ainsi qu’une évaluation sur mesure sont conçues et doivent être intégrées à un dispositif de formation continue dispensé à la faculté de pédagogie de l’Université Libanaise. / In the current context of reforms of French language programs at the Lebanese University, the Franco-Lebanese institutions reposition themselves to improve the training of public school teachers. In this context, this research aims to offer a linguistic program designed from an educational engineering French for Specific Purposes type. It aims to improve the level of language of bilingual mathematics teachers in order to offer for public Basic Education (primary school) teachers that are able to communicate effectively in French therefore helping to improve the students' level of French. As such, the first phase of this study is to define the political and institutional issues related to the implementation of customized program. Then, through the analysis of the language needs on one hand, and analyzing a corpus that is filmed, transcribed and enriched of observations on the other hand, we will study the language practices and will examine the functions of teaching discourse. This study convenes the conceptual tools of discourse analysis and linguistic pragmatics. A fresh perspective on an analysis has identified specific learning objectives enshrined in an interventionist perspective. The main didactic proposals advocates a didactization of code switching and targets professional priority tasks as exposing an approach to calculate, animating a French mathematics course and using textbooks in the teaching / learning of this discipline. Finally, a complete training offer and a customized assessment are designed and must be integrated into an in-service training provided to the Education Faculty of the Lebanese University.

Made available in DSpace on 2016-04-27T16:58:23Z (GMT). No. of bitstreams: 1 Alecio Damico.pdf: 1579983 bytes, checksum: fe8b131b4a9b81447fe664d3ac638667 (MD5) Previous issue date: 2007-07-31 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In this study we investigated the initial preparation of the Elementary School math teachers. 346 future math teachers were surveyed (189 first-year students and 157 last-year students) and 41 professors from two of the ABC paulista region universities. The data gathering was accomplished from the five sources called Instruments: Instrument 1 (the last-year students were asked to create eight problems containing fractions aiming at the evaluation of the Elementary School students; Instrument 2 (the last-year students themselves solved the eight problems they created; Instrument 3 (all students, the undergraduates and the graduates, were submitted to an evaluation containing twenty problems about elementary knowledge of rational numbers); Instrument 4 (interactive interview with 10% of the last-uear students who took part in the research); Instrument 5 (interactive interview with 41 teachers). We have chosen a qualitative approach to analyze the data. Due to the great number of data the qualitative analysis was always preceded by a statistical summary account to show the frequency with which each category or sub-category was observed. The results were grouped into three units of analysis that respectively treated of the mathematical knowledge (concept and process) of the future teachers related to the five subconstructs or definitions of the fractions (part-whole; operator; quotient or indicated division; measurement and linear coordinate); the mathematical knowledge and the PCK (Pedagogical Content Knowledge or didactical knowledge) related to the elementary operations with fractions (addition, subtraction, multiplication and division) and rational numbers in the higher education. Our data draw our attention to the fact that future teachers have a syncretical vision of rational numbers. There is a significant unbalance between the concept and process knowledge, being greater the knowledge of the process, as well as it is also observed the low level of the didactical knowledge related to the forms of representation normally taught at the Elementary School which treat rational numbers (fractions) / Neste estudo investigamos a formação inicial de professores de Matemática para o ensino dos números racionais no Ensino Fundamental. Foram pesquisados 346 estudantes para professores de Matemática (189 iniciantes e 157 concluintes) e 41 formadores de professores de duas universidades do ABC Paulista. A coleta de dados foi realizada por intermédio de cinco fontes, denominadas Instrumentos: Instrumento 1 (os alunos concluintes foram solicitados a criarem oito problemas envolvendo frações, com o objetivo de avaliar alunos do Ensino Fundamental; Instrumento 2 (os alunos concluintes resolveram os oito problemas que criaram); Instrumento 3 (todos os alunos, iniciantes e concluintes, foram submetidos a uma avaliação contendo vinte questões que versavam sobre conhecimentos fundamentais sobre números racionais); Instrumento 4 (entrevista interativa com 10% dos alunos concluintes participantes da pesquisa); Instrumento 5 (entrevista interativa com 41 professores). Optamos por uma abordagem qualitativa de interpretação dos dados. Em função do grande volume de informações, a análise qualitativa sempre foi precedida por um resumo estatístico, com o objetivo de mostrar a freqüência com que cada categoria ou subcategoria foi observada. Os resultados foram apresentados em três unidades de análise que abordam, respectivamente: o conhecimento matemático (conceitual e processual) dos estudantes para professores em relação a cinco subconstrutos ou significados das frações (parte-todo; operador; quociente ou divisão indicada; medida e coordenada linear); o conhecimento matemático e o PCK (conhecimento pedagógico do conteúdo ou conhecimento didático) em relação às operações básicas com frações (adição, multiplicação e divisão); os números racionais na formação universitária. Nossos dados apontam para o fato de que os estudantes para professores têm uma visão sincrética dos números racionais. Há um acentuado desequilíbrio entre o conhecimento conceitual e processual, com prevalência do processual, como também se observa um baixo nível de conhecimento didático relacionado às formas de representação dos conteúdos normalmente ensinados no Ensino Fundamental que versam sobre números racionais (frações)

Made available in DSpace on 2016-04-27T16:58:29Z (GMT). No. of bitstreams: 1 Neusa da Silva Cardoso de Oliveira.pdf: 887429 bytes, checksum: 4ababeccf89d027441fb9f7b07ac9033 (MD5) Previous issue date: 2007-10-18 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The aim of this study was to investigate the student s perception of their process of education by the Special Program of Pedagogical Education and verify if it has been contributed to the characterization of teaching s profession. Besides, it was analyzed the courses contents program and the education process implemented, in order to evaluate how non-licensed teachers education has been occurring, in the present moment of Superior Education Reform discussion. Analysing data collected, we tried to comprehend how the researched Special Program of Pedagogical Education contributes to educate Mathematics teachers as well as to their practices improvement. Data gatering included questionnaires application next to this Program students (many had already teached, even no license); documents analysis (laws, resolutions, curriculum, evaluations and program contents) and interviews realized with selected students among those who composed the analyzed program class. In general, collected data analysis allow that subjects, students-teachers of the course investigated, believe that the course is not enough to an adequate education of a Mathematics teacher and data has pointed that mayor perception is that they do not feel qualified to the profession job. It was possible to perceive, however, that there was behavior and motivation changes to these people in relation to the perception of the need and the importance of a continuous education, but also of the absence of profound knowledge about mathematics contents to be teached by these teachers. Group activities and active participation of students, as well as academic texts readings seem to be the more remarkable aspects to these students. The importance of playing mathematics games and other activities which may aid students learning was other element perceived as of high importance during the Program. Being so, we understand that the Special Program of Pedagogical Education of this institution brings important and significant elements to Mathematics teachers education, but insufficient to professional job, specially concerning to specific Mathematic contents, absent during all Program / A presente pesquisa teve por objetivo investigar a percepção dos alunos sobre seu processo de formação por meio do Programa Especial de Formação Pedagógica e verificar se o mesmo vem contribuindo para a caracterização da profissão docente. Além disso, buscou-se analisar o conteúdo programático do curso e o processo de formação implementado, a fim de se realizar uma avaliação sobre como a formação de professores de Matemática não-habilitados vem ocorrendo, no momento atual de discussão da Reforma do Ensino Superior. A partir dos dados coletados, buscamos compreender de que maneira o Programa Especial de Formação Pedagógica pesquisado contribui para a formação de professores de Matemática bem como para a melhoria de sua prática. A coleta de dados envolveu a aplicação de questionários junto aos alunos desse programa (sendo que muitos já exerciam a docência mesmo sem a habilitação); análise de documentos (leis, resoluções, grade curricular, avaliações e conteúdo programático) e entrevistas realizadas com alunos selecionados dentre os que compunham a turma do programa analisado. De modo geral, a análise dos dados obtidos permite afirmar que os sujeitos, alunos-professores do curso em questão, acreditam que o curso não é suficiente para uma formação adequada de um professor de Matemática e os dados apontaram que a percepção da maioria é de que não se sentem qualificados para o exercício profissional. Foi possível perceber, entretanto, que houve mudanças de comportamento e motivação nesses sujeitos com relação à percepção da necessidade e importância de uma formação contínua, mas também da ausência de conhecimentos profundos sobre o conteúdo matemático a ser ensinado por esses professores. Atividades desenvolvidas em grupo e participação ativa dos alunos, bem como as leituras de textos acadêmicos parecem ser os aspectos mais marcantes para esses alunos. A importância da aplicação de jogos matemáticos e de outras atividades que possam auxiliar a aprendizagem dos alunos foi outro elemento percebido como de grande importância durante o Programa. Desta maneira, entendemos que o Programa Especial de Formação Pedagógica dessa instituição traz elementos importantes e significativos para a formação de professores de Matemática, porém insuficientes para que esses alunos sintam-se preparados para o exercício profissional, principalmente no que diz respeito aos conteúdos específicos de Matemática, ausentes durante todo o programa

Made available in DSpace on 2016-04-27T16:59:03Z (GMT). No. of bitstreams: 1 Eliana Maria Bauschert de Freitas.pdf: 5541059 bytes, checksum: 799f82232e6cb4ca94dd8a9043330f29 (MD5) Previous issue date: 2010-05-10 / Secretaria da Educação do Estado de São Paulo / The purpose of this project was to verify the level of statistical literacy of two teachers of the High School which work with statistics. Also, tired to extensity the influence of the use of computational environment, in case software FATHOM, in the evolution of the levels of graphical reading and, consequently, literacy, using simultaneous and differents registers of semiotic representation. We found to answer these questions: Which is the level of statistic literacy of the Mathematics teachers in High School who works with Descriptive Statistic? How these people perceive the simultaneous use of different registers of semiotics representation for analysis of a data set, with or without the use of computational environment? For these were used the methodology Didactics Engineering, developing a study of case with two mathematics teachers of the High School who had already worked with some concepts of Descriptive Statistic in their courses. The analysis of the interviews allowed to notice that the teachers oscillated between the levels of scientific literacy and functional literacy and the use of the software made easier the perception of the necessity and advantages to work simultaneously with more one register of semiotic representation / Este trabalho teve como objetivo verificar o nível de letramento estatístico de duas professoras da Escola Básica, que trabalham com estatística em suas aulas. Buscou-se também identificar à influência do uso de um ambiente computacional, no caso o software FATHOM, na evolução dos níveis de leitura gráfica e, portanto, de letramento, pela possibilidade da utilização simultânea de diferentes registros de representação semiótica. Procurou-se responder às seguintes questões: Qual é o nível de letramento estatístico de professores de Matemática do Ensino Médio que trabalham, em sua prática docente, com os conteúdos da Estatística Descritiva? Como estes percebem o uso simultâneo de vários registros de representação semiótica para a análise de um conjunto de dados, com ou sem o uso do ambiente informatizado? Para tanto, foram utilizados como metodologia os pressupostos da Engenharia Didática, desenvolvendo um estudo de caso com duas professoras de Matemática da Escola Básica, que já tinham trabalhado com alguns conceitos da Estatística Descritiva em suas aulas. A análise das entrevistas permitiu perceber que as professoras oscilaram entre os níveis de letramento funcional e científico e que o uso do software foi um facilitador para a percepção da necessidade e das vantagens de se trabalhar simultaneamente com mais de um registro de representação semiótica

While professional developers have been encouraging teachers to plan for discourse around problem solving tasks as a way to orchestrate mathematically productive discourse (Stein, Engle, Smith, & Hughes, 2008; Stein, Smith, Henningsen, & Silver, 2009) no research has been conducted explicitly examining the relationship between the plans that teachers make for orchestrating discourse around problem solving tasks and the outcomes of implementation of those plans. This research study is intended to open the door to research on planning for discourse around problem solving tasks. This research study analyzes how 12 middle school mathematics teachers participating in the Mathematics Problem Solving Model professional development research program implemented lesson plans that they wrote in preparation for whole-class discussions around cognitively demanding problem solving tasks. The lesson plans consisted of the selection and sequencing of student solutions to be presented to the class along with identification of the mathematical ideas to be highlighted in the student solutions and questions that would help to make the mathematics salient. The data used for this study were teachers' lesson plans and the audio-recordings of the whole-class discussions implemented by the teachers. My research question for this study was: How do teachers' written plans for orchestrating mathematical discourse around problem solving tasks influence the opportunities teachers create for students to reason mathematically? To address this research question, I analyzed the data in three different ways. First, I measured fidelity to the literal lesson by comparing what was planned in the ISAs to what was actually took place in the implemented debriefs. That is, I analyzed the extent to which the teachers were implementing the basic steps in their lesson (i.e. sharing the student work they identified, addressing the ideas to highlight and the planned questions). Second, I analyzed the teachers' fidelity to the intended lesson by comparing the number of high-press questions in the lesson plans (that is, questions that create opportunities for the students to reason mathematically) to the number of high-press questions in the implemented discussion. I compared these two sets of data using a linear regression analysis and t-tests. Finally, I conducted a qualitative analysis, using grounded theory, of a subset of four teachers from the study. I examined the improvisational moves of the teachers as they addressed the questions they had planned, building a theory of how the different ways that teachers implemented their planned questions affected the opportunities for their students to reason mathematically around those planned questions. My findings showed that it was typical for the teachers to implement most of the steps of their lesson plans faithfully, but that there was not a statistically significant correlation between the number of high-press questions they planned and the number of high-press questions they asked during the whole-class discussions, indicating that there were other factors that were influencing the frequency with which the teachers were asked these questions that prompted their students to reason mathematically. I hypothesize that these factors include, but are not limited to, the norms in the classrooms, teachers' knowledge about teaching mathematics, and teachers' beliefs about mathematics. Nevertheless, my findings did show that in the portions of the whole-class discussions where the teachers had planned at least one high-press question, they, on average, asked more high-press questions than when they did not plan to ask any. Finally, I identified four different ways that teachers address their planned questions which impacted the opportunities for students to reason mathematically. Teachers addressed their questions as drop-in (they asked the question and then moved on as soon as a response was elicited), embedded (the ideas in the question were addressed by a student without being prompted), telling (the teacher told the students the `response' to the question without providing an opportunity for the students to attempt to answer the question themselves) and sustained focus (the teacher sustained the focus on the question by asking the students follow-up questions).

This dissertation focused on the study of the Spanish academic language proficiency of novice bilingual teachers during the act of teaching mathematics in elementary grades. Four first year teachers in a large urban school district in central Texas participated in the study. At the time of the study two participants were fully certified and had attended four-year teacher preparation programs. The additional participants had completed all certification requirements including content examinations and the Texas Oral Proficiency Test (TOPT); they were completing their certification requirements through alternative certification programs. The study sought to identify the moments in their teaching of mathematics in Spanish when their instruction broke down, i.e. when they appeared unable to communicate ideas to students, and the reasons for these breakdowns. Findings revealed that the teachers in the study demonstrated linguistic and/or pedagogical breakdowns and that certain factors influenced their knowledge and language competencies. Linguistic breakdowns were manifested when teachers switched to English, used repetitive language when teaching, or provided limited academic language. Pedagogical breakdowns were identified as a lack of: student talk or discussion, effective teacher questioning, or diverse presentation of content. Overall, the teachers struggled with limited language in Spanish and limited pedagogical reasoning skills while teaching mathematical concepts to their students. These limitations were exacerbated by the pressures of high stakes testing and countered by the fact that all four teachers shared linguistic and cultural affiliation with their students. This collective case study was conducted from within a constructivist theoretical framework focusing on theories of academic language, communicative competence, and Vygotsky’s sociocultural perspective of learning. Recommendations for future training and practice of bilingual teachers are provided specifically on the importance of Spanish language proficiency of this group of educators. / text

published_or_final_version / Education / Master / Master of Education