Views of teaching: implications for the didactic training of mathematics teachers. School mathematics teaching is an essential learning area in South African schools. Owing to persistent traditional positivist-based views and approaches, it still suffers from a variety of teaching-learning problems. Various national attempts have already been made to develop an effective teaching-learning program for school mathematics. Prominent researchers reveal that the failure of teaching-learning programmes often have to be attributed to the lack of an underlying grounded didactic theory. Therefore this study focused on the development of a grounded teaching-theoretical framework for school mathematics teaching. A further problem regarding school mathematics is that its teaching and learning traditionally are viewed from a narrow school subject disciplinary perspective. Therefore this study departed from a general didactic-theoretical perspective, creating the opportunity to approach and solve problems from a wider angle. A constructivist-based post-positivist view of effective teaching was developed, before entering the field of school mathematics. In this way an integrated ontologicalcontextual view of teaching was developed in terms of six identified ontological essential features, and their contextual coherence, namely: intention, teacher, leamer, interaction, content and context. Contrary to traditional positivist views, no causal relationship between teaching and learning was imposed, and teaching was not qualified in terms of learning products. Instead, teaching was characterised and qualified on ontological grounds, departing from the phenomenon itself. In this way the limitations of positivist process-product views of teaching could be identified, explained and overcome. Alternatively, a dynamic integrated view of teaching as a human act, directed at the facilitation of relevant and meaningful learning, was grounded and developed. Based on this general ontological-contextually based view, a specific ontologicalcontextual view of effective school mathematics teaching was grounded and developed. To this end a variety of prominent contemporary views of and approaches to school mathematics, and its teaching and learning, needed to be analysed in a critical way. According to this analysis school mathematics, and its teaching and learning should be viewed and approached from a constructivist-based dynamic change-and-grow perspective as human acts. In addition, it could have been proved that the perspective concerned can facilitate the treatment and solving of the currently experienced teaching-learning problems. This requires the reconsideration, from a similar perspective, of the current school mathematics curriculum, as well as the preservice didactic training of mathematics teachers. Specific implications of the developed ontological-contextual view of effective school mathematics teaching were identified, and practically tested in the corresponding preservice didactic training situation in the North West Province. Based on this an integrated model for the training concerned was formulated. It was found that the current training largely contributed to the continuation of traditional views of and approaches to school mathematics teaching, and its essential features. From the developed integrated ontological-contextual perspective definitive proposals regarding the transformation of school mathematics teaching and the corresponding didactic training were made and motivated. Further areas for investigation and development, resulting from this study, were identified, as well. This study aimed at investigating, and revealing for further exploration, the specific and broadening interaction between the general teaching and subject didactical fields and research, particularly in the two contexts of effective school mathematics teaching and the corresponding preservice didactical training. A particular attempt was made to accomplish this in a grounded and integrated way, to the benefit of both fields. / Thesis (PhD)--PU for CHE, 1998.

School-based professional learning communities (PLCs) have become an important means of “building capacity” among teachers in a wide variety of areas, including those with a subject focus. Very often, these PLCs are mandated by administration, and operate under an established structure. This paper describes an attempt by a mathematics coordinator and school level “lead’ teachers to establish relatively informal PLCs in mathematics in an effort to improve mathematics teaching, and thus student learning, in an environment that focused very much on literacy. The four PLCs created are discussed, as are the opportunities and the challenges that go with the relative freedom offered to the teachers. Sustainability is a central challenge to these groups.

In this paper we examine an Australian project in which we seek to develop leadership capacity in staff and students throughout the country, such that they may contribute to and lead others to contribute to the development and sharing of learning support resources for mathematics and statistics across disciplines and universities. One of the tangible outputs is a set of video based learning support resources that can be embedded in subjects across disciplines and shared across institutions. However the guiding aim is to develop leadership capacity, in its simplest form leading others to lead others to contribute to the project. Leadership may also be developed and exercised across different aspects of the project whether it be mapping needs, drawing together disciplines groups, finding ways to recognise and reward those engaged in the process, developing resources and the associated skills, ensuring copyright adherence, creating learning designs for optimal use of resources, evaluating the impact on student outcomes, peer review and the dissemination of findings.

This study was conducted to analyse aspects of mental computation within primary school mathematics curricula and to formulate recommendations to inform future revisions to the Number strand of mathematics syllabuses for primary schools. The analyses were undertaken from past, contemporary, and futures perspectives. Although this study had syllabus development in Queensland as a prime focus, its findings and recommendations have an international applicability. Little has been documented in relation to the nature and role of mental computation in mathematics curricula in Australia (McIntosh, Bana, & Farrell, 1995,p. 2), despite an international resurgence of interest by mathematics educators. This resurgence has arisen from a recognition that computing mentally remains a viable computational alternative in a technological age, and that the development of mental procedures contributes to the formation of powerful mathematical thinking strategies (R. E. Reys, 1992, p. 63). The emphasis needs to be placed upon the mental processes involved, and it is this which distinguishes mental computation from mental arithmetic, as defined in this study. Traditionally, the latter has been concerned with speed and accuracy rather than with the mental strategies used to arrive at the correct answers. In Australia, the place of mental computation in mathematics curricula is only beginning to be seriously considered. Little attention has been given to teaching, as opposed to testing, mental computation. Additionally, such attention has predominantly been confined to those calculations needed to be performed mentally to enable the efficient use of the conventional written algorithms. Teachers are inclined to associate mental computation with isolated facts, most commonly the basic ones, rather than with the interrelationships between numbers and the methods used to calculate. To enhance the use of mental computation and to achieve an improvement in performance levels, children need to be encouraged to value all methods of computation, and to place a priority on mental procedures. This requires that teachers be encouraged to change the way in which they view mental computation. An outcome of this study is to provide the background and recommendations for this to occur. The mathematics education literature of relevance to mental computation was analysed, and its nature and function, together with the approaches to teaching, under each of the Queensland mathematics syllabuses from 1860 to 1997 were documented. Three distinct time-periods were analysed: 1860-1965, 1966-1987, and post-1987. The first of these was characterised by syllabuses which included specific references to calculating mentally. To provide insights into the current status of mental computation in Queensland primary schools, a survey of a representative sample of teachers and administrators was undertaken. The statements in the postal, self-completion opinionnaire were based on data from the literature review. This study, therefore, has significance for Queensland educational history, curriculum development, and pedagogy. The review of mental computation research indicated that the development of flexible mental strategies is influenced by the order in which mental and written techniques are introduced. Therefore, the traditional written-mental sequence needs to be reevaluated. As a contribution to this reevaluation, this study presents a mental-written sequence for introducing each of the four operations. However, findings from the survey of Queensland school personnel revealed that a majority disagreed with the proposition that an emphasis on written algorithms should be delayed to allow increased attention on mental computation. Hence, for this sequence to be successfully introduced, much professional debate and experimentation needs to occur to demonstrate its efficacy to teachers. Of significance to the development of efficient mental techniques is the way in which mental computation is taught. R. E. Reys, B. J. Reys, Nohda, and Emori (1995, p. 305) have suggested that there are two broad approaches to teaching mental computation,,Ya behaviourist approach and a constructivist approach. The former views mental computation as a basic skill and is considered an essential prerequisite to written computation, with proficiency gained through direct teaching. In contrast, the constructivist approach contends that mental computation is a process of higher-order thinking in which the act of generating and applying mental strategies is significant for an individual's mathematical development. Nonetheless, this study has concluded that there may be a place for the direct teaching of selected mental strategies. To support syllabus development, a sequence of mental strategies appropriate for focussed teaching for each of the four operations has been delineated. The implications for teachers with respect to these recommendations are discussed. Their implementation has the potential to severely threaten many teachersf sense of efficacy. To support the changed approach to developing competence with mental computation, aspects requiring further theoretical and empirical investigation are also outlined.

Made available in DSpace on 2016-06-02T19:35:47Z (GMT). No. of bitstreams: 1 4798.pdf: 2422263 bytes, checksum: 82536db8cae0f223bf6247c55001a288 (MD5) Previous issue date: 2012-12-21 / Financiadora de Estudos e Projetos / This research aimed to investigate the mathematics formative processes of Early Years students-teachers in an online Pedagogy course taking the following question into consideration: What formative processes are evidenced by students-teachers when inserted in specific mathematical disciplines in an online Pedagogy course? Our theoretical framework discusses the concepts of: professional development, knowledge base for teaching, reflection, autonomy, interaction, collaboration, dialogue, among others. To begin the development of the qualitative study, we contacted, via email, the first group of students who had attended the disciplines Languages of Mathematics 1 and 2 and Supervised Practice 1 and 2 and asked them to answer a characterization questionnaire. Nine students, who were already teachers in kindergarten and/or in Early Years, were the subjects of the research due to our assumption that the formative processes they experienced could have contributed to their professional development, promoting the learning of mathematical content, as well as the learning of teaching skills. Because of them being students of the course who already worked as teachers, we described them in the text as students-teachers. For data collection, we used the activities developed during the mentioned subjects and semi-structured interviews which were conducted via Skype or Messenger. Data analysis was conducted based on the theory of content analysis and two themes emerged with subcategories: Relationship with mathematics and its teaching and learning composed of The narratives of the students-teachers and Indications of changes and; Mathematics formative processes included the subcategories Different writing in the disciplines, Interactions and mediations in the virtual environment, Readings and reflective process on practice and Teaching in supervised practices. The results showed that the students-teachers had some small changes in their beliefs about mathematics, its teaching and learning, the classroom practices, their feelings regarding mathematics and the teacher-student relationship. Moreover, the formative processes they experienced promoted the (re)construction and (re)signification of the mathematical content studied and provided the learning of teaching practices. The printed material used in the disciplines, the activities, the interactions that occurred between the students-teachers and their classmates when participants proposed questions, discussed the mathematical concepts and peer feedback and shared classroom practices, as well as the mediations conducted by tutors were fundamental for this to happen. The analysis also indicated that they increased their knowledge base for teaching and mobilized the process of pedagogical reasoning to develop activities concerning mathematical content for the supervised teaching practice, the ways of working it with students and aspects of lesson planning such as unexpected situations that may occur and the timing for completion of activities. / Esta pesquisa teve como objetivo investigar os processos formativos em matemática de alunas-professoras dos Anos Iniciais em um curso a distância de Pedagogia a partir do seguinte questionamento: Quais processos formativos são evidenciados por alunasprofessoras quando inseridas nas disciplinas específicas de matemática em um curso a distância de Pedagogia? No referencial teórico, discutimos os conceitos de: desenvolvimento profissional, base de conhecimento para o ensino, reflexão, autonomia, interação, colaboração, diálogo, entre outros. Para iniciarmos o desenvolvimento do estudo, de natureza qualitativa, entramos em contato, via e-mail, com os estudantes da primeira turma que já haviam cursado as disciplinas de Linguagens Matemática 1 e 2 e Estágio Supervisionado 1 e 2 e solicitamos que respondessem a um questionário de caracterização. Nove alunas já eram professoras na Educação Infantil e/ou nos Anos Iniciais do Ensino Fundamental e foram os sujeitos da pesquisa devido a nossa hipótese de que os processos formativos vivenciados poderiam ter contribuído com o desenvolvimento profissional delas, promovendo aprendizagens dos conteúdos matemáticos e também aprendizagens da docência. Pelo fato delas serem alunas do curso e já atuarem como professoras as identificamos, no texto, como alunas-professoras. Utilizamos para a produção de dados as atividades desenvolvidas nas disciplinas mencionadas e entrevistas semiestruturadas que foram realizadas via Skype ou Messenger. A análise dos dados foi realizada a partir da teoria de análise do conteúdo e emergiram dois eixos temáticos com subcategorias: Relação com a matemática e seu ensino e aprendizagem composto por As narrativas das alunas-professoras e Indícios de mudanças e; Processos formativos em matemática se constituíram das subcategorias Diferentes escritas nas disciplinas, Interações e mediações no ambiente virtual, Leituras e o processo reflexivo sobre a prática e As regências nos estágios. Os resultados evidenciaram que as alunasprofessoras tiveram algumas pequenas mudanças em suas crenças sobre a matemática, seu ensino e aprendizagem, sobre as práticas de sala de aula, sobre os sentimentos com relação à matemática e sobre a relação professor-aluno. Além disso, os processos formativos vivenciados promoveram a (re)construção e a (re)significação dos conteúdos matemáticos estudados e proporcionaram aprendizagens da docência. Para tanto, foram fundamentais o material impresso utilizado nas disciplinas, as atividades propostas, as interações que ocorreram entre as alunas-professoras e os colegas em que as participantes propuseram questionamentos, discutiram os conceitos matemáticos e os comentários dos colegas, argumentaram e trouxeram práticas de sala de aula, além das mediações realizadas pelos tutores. As análises também apontaram que elas ampliaram sua base de conhecimento para o ensino e que mobilizaram o processo de raciocínio pedagógico ao elaborarem as atividades com relação aos conteúdos matemáticos para as regências do estágio, as formas de trabalhálos com os alunos e aspectos do planejamento da aula como os imprevistos que ocorrem e o tempo para realização das atividades.

Made available in DSpace on 2016-06-02T19:35:54Z (GMT). No. of bitstreams: 1 5717.pdf: 2760407 bytes, checksum: 95ca709a3f87c63e0843f6a7b74a6117 (MD5) Previous issue date: 2013-12-16 / Financiadora de Estudos e Projetos / The making of this paper was motivated by an interest in issues concerning the formation of (future) elementary math teachers through distance education and, in a more specific way, the role tutors play in this learning mode. The question that led our investigation was: Which online tutors actions in subjects that involve mathematics in a distance Pedagogy course allow us to identify them as teachers educators? Our theory referential approached issues on the formation of teachers in Pedagogy through discussions over mathematical formation in these courses, over the tutor s role and over the peculiarities of distance education, mainly regarding collective teaching. All data were collected in the Pedagogy course through distance education at Universidade Federal de São Carlos, an affiliate institution to the Brazilian Open University System (Sistema Universidade Aberta do Brasil). The object of the study allowed us to perform a case study which aims to develop knowledge by focusing a specific case and is represented in this study by online tutors work organization. The data that compose this research are questionnaires answered by tutors and students, material that is available online, interviews given by tutors, documents and Brazilian legislation regarding distance education as well as documentation on the organization of the university s distance courses. The analysis of the data took aspects of content analysis into consideration and was performed in a qualitative method. The tutors that were part of the research performed actions that allowed us to identify them as teachers educators in different moments: when they respected specific characteristics of distance education, when they approached issues regarding mathematics content and its teaching and when they acted independently during the collective teaching process. Besides their involvement with students formation, tutors acted as educators when they got involved in their own formative process and had a reflexive view on their own performances, on the course and on the distance education of mathematics. Working conditions, the way the coordination team organized the tutors work and the way each educator conducted his work influenced the tutors performances. After conducting the analysis, it was possible to consider that the quality of a teacher formation distance course is closely related to online tutors work organization and to the possibility that he/she plays the role of a teachers educator. Therefore the aspects that enable this performance must be kept, amplified and qualified and the ones that make the practice difficult must be discussed and minimized. / A realização da presente pesquisa foi motivada pelo interesse na formação matemática dos professores (ou futuros professores) dos anos iniciais do Ensino Fundamental na modalidade a distância e, mais especificamente, quanto à atuação do tutor virtual neste processo. A questão que norteou a investigação foi: Quais ações das práticas dos tutores virtuais, em disciplinas que envolvem conteúdos matemáticos num curso de Pedagogia a distância, permitem identificá-los como formadores de professores? O referencial teórico abordou a formação de professores na Pedagogia, através de discussões sobre a formação matemática nestes cursos, sobre o papel do formador e sobre as especificidades desta formação na modalidade a distância, principalmente em relação à docência coletiva. O cenário utilizado para coleta de dados foi o curso de Licenciatura em Pedagogia na modalidade a distância da Universidade Federal de São Carlos, instituição parceira do Sistema Universidade Aberta do Brasil. A opção pelo objeto a ser estudado permitiu aproximar tal pesquisa de um estudo de caso, que busca o conhecimento a partir da focalização de um caso específico, representado, neste estudo, pela forma de organização do trabalho dos tutores virtuais. Compõem os dados desta pesquisa: material disponível no Ambiente Virtual de Aprendizagem das disciplinas que envolvem conteúdo matemático, questionários respondidos pelos tutores virtuais e estudantes, entrevistas realizadas com os tutores virtuais, documentos e legislações do governo brasileiro em relação a Educação a Distância e documentos da organização dos cursos a distância da universidade. A análise desses dados foi realizada levando em consideração aspectos da análise de conteúdo, numa abordagem qualitativa. Pôdese observar que os tutores virtuais, participantes da pesquisa, exerceram ações que permitem identificá-los como formadores de professores em diferentes momentos: quando eles levaram em consideração os aspectos da cultura do Ensino Superior a distância; quando abordaram questões referentes ao conteúdo matemático e seu ensino e quando exercitaram sua autonomia no processo de docência coletiva. Além do envolvimento efetivo com a formação dos estudantes enquanto professores (ou futuros professores), os tutores exerceram o papel de formadores quando se envolveram no seu próprio processo formativo e mostraram uma postura reflexiva sobre sua própria atuação, sobre o curso e sobre o ensino de matemática na Educação a Distância. Ainda foi possível observar que as condições de trabalho, a forma de organização da tutoria pela instituição e a forma de condução do trabalho pelo professor da disciplina tiveram influência no tipo de atuação realizada pelos tutores. Considera-se, a partir da análise, que a qualidade de um curso de formação de professores a distância está intimamente ligada à organização do trabalho dos tutores virtuais e à possibilidade de que este exerça o papel de formador de professores. Assim, os aspectos que contribuem para esta atuação precisam ser mantidos, ampliados e qualificados e os que dificultam tal prática precisam ser discutidos e minimizados.

Esta dissertação apresenta uma proposta de ensino da Trigonometria para estudantes do Ensino Médio, baseada na utilização do software GeoGebra. Seu principal objetivo é avaliar a aprendizagem da Trigonometria propiciada por uma sequência de ensino desenvolvida em um ambiente informatizado e dinâmico. A metodologia utilizada na pesquisa foi o estudo de caso. As atividades da experiência didática foram aplicadas em uma escola particular de Porto Alegre em duas etapas: inicialmente, com uma turma de 45 alunos e, posteriormente, com um grupo de 7 alunos dessa turma. A análise dos dados coletados foi baseada na Teoria dos Campos Conceituais de Gerard Vergnaud e enfocou a identificação e interpretação de conceitos-em-ação e teoremas-em-ação utilizados pelos alunos nas resoluções das atividades. A aprendizagem dos conceitos de ângulo, razões trigonométricas, círculo trigonométrico e funções trigonométricas e propriedades a eles relacionadas foi favorecida pelo uso do software de Geometria Dinâmica, que propiciou a observação e compreensão de relações entre elementos de uma construção, permitiu a experimentação de hipóteses e elaboração de conclusões, instigou discussões e tornou as aulas mais dinâmicas, com o professor assumindo o papel de mediador na aprendizagem, e o trabalho cooperativo entre os alunos organizados em grupos. / This dissertation presents a Trigonometry teaching proposal for High School students, based on the use of the software GeoGebra. The main purpose of this paper is to evaluate the learning of Trigonometry provided by a sequence of teaching developed in a computerized and dynamic environment. The methodology used in the research was a case study. The activities of the teaching experience were applied in a private school of Porto Alegre, in two stages: first, with a 45-student group and afterwards with a 7-student group of the former one. The analysis of the collected data was based on the Conceptual Fields Theory by Gerard Vergnaud and focused on the identification and interpretation of in-action-concepts and inaction- theorems used by the students to solve the activities proposed. The learning of concepts such as angles, trigonometric reasons, circles and functions and the properties related to them was favored by the use of the software of Dynamic Geometry, which provided an observation and comprehension of relations between elements of a construction, allowed the experimentation of hypothesis and the elaboration of conclusions, instigated discussions and made the classes more dynamic, with the teacher taking the role of mediator in the learning, and the cooperative work among students organized in groups.

A presente dissertação traz uma pesquisa sobre a aprendizagem da operação de divisão, com crianças do 4º ano do Ensino Fundamental. O objetivo da pesquisa era verificar se, através de uma proposta de ensino em que as crianças pudessem vivenciar a operação de divisão em variados contextos e situações, seria possível favorecer a (re)construção de seus esquemas e provocar sua aprendizagem. A metodologia adotada foi o estudo de caso, com a aplicação da sequência didática elaborada em uma turma de uma escola municipal da cidade de Gravataí, Rio Grande do Sul. A elaboração da sequência didática, assim como a análise dos registros orais e escritos de sua implementação, apoiou-se nos estudos realizados sobre a teoria dos campos conceituais, de Gérard Vergnaud, e em trabalhos de outros autores que estudam a construção das estruturas multiplicativas. Foi possível verificar que houve avanços na aprendizagem da operação de divisão por parte das crianças daquela turma. Através dos registros coletados e dos diálogos estabelecidos, foi possível compreender as maneiras como as crianças compreendiam e lidavam com situações de divisão e observar a mobilização e a reformulação de seus esquemas frente às situações vivenciadas em sala de aula. / The present dissertation presents a research on the division operation learning with children of the 4th grade of Elementary School. The purpose of this research to verify if, through a teaching proposal in which children could experience the division operation in various contexts and situations, it would be possible to favour the (re) construction of their schemes and to develop their learning. The methodology adopted was the case study, with the application of the teaching sequence elaborated in a group of a municipal school of Gravataí, Rio Grande do Sul. The elaboration of the teaching sequence, as the analysis of the oral and written records of its implementation, was supported by the studies accomplished with the Theory of Conceptual Fields by Gérard Vergnaud, and by papers from other authors that study the construction of multiplicative structures. It was possible to verify that there were advancements in the learning of the division operation by the children of that group. Throughout the collected records and the dialogs established, it was possible to understand the ways children understood and dealt with the division situations and to observe the mobilization and the reformulation of their schemes faced to the situations experienced in the classroom.

Este trabalho apresenta uma proposta de sequência didática em problemas de contagem, a partir de situações de jogos. Foi feito um Estudo de Caso numa turma de 8º ano do ensino fundamental do Colégio Militar de Porto Alegre e, ao longo do segundo semestre de 2008, quando da aplicação desses jogos, fizemos observações em relação às estratégias de contagem, às relações sociais, às distintas formas de organizar a resolução dos problemas que surgiam nas atividades e aos esquemas produzidos pelos alunos. Fundamentados na Teoria dos Campos Conceituais (Vergnaud) e na Zona de Desenvolvimento Proximal (Vygotsky), fazemos uma análise de como esses sujeitos se comportaram em diferentes contextos que abordavam o mesmo campo conceitual multiplicativo. Ao término dessa pesquisa, concluímos que o conjunto das diversas situações dos jogos ampliou o leque de representações de contagem e que o ambiente de sala de aula se tornou mais sociável, à medida que os alunos se integravam para um objetivo comum. / This work proposes a teaching sequence in counting problems, from situations of games. Was made a case study in a class of 8th grade of elementary school of the Military School of Porto Alegre and, during the second half of 2008, when following these games, we made observations on the counting strategies, social interaction, different ways of organizing the problems that arose in the activities and the schemes produced by the students. Based on the Theory of Conceptual Fields (Vergnaud) and Zone of Proximal Development (Vygotsky), we made an analysis of how these individuals behave in different contexts that were on the same multiplicative conceptual field. At the end of this research, we conclude that all the different situations of the game expanded the range of representations of counting and that the environment of the classroom has become more sociable, as the students were integrated into a common goal.

SOUSA, Francisco Edisom Eugênio de. A pergunta como estratégia de mediação didática no ensino de matemática por meio da Sequência Fedathi. 2015. 283f. – Tese (Doutorado) – Universidade Federal do Ceará, Programa de Pós-graduação em Educação Brasileira, Fortaleza (CE), 2015. / Submitted by Márcia Araújo (marcia_m_bezerra@yahoo.com.br) on 2015-12-04T12:27:50Z No. of bitstreams: 1 2015_tese_feesousa.pdf: 2590741 bytes, checksum: dee6e19ddd0b4122c54e2424fe25ea22 (MD5) / Approved for entry into archive by Márcia Araújo(marcia_m_bezerra@yahoo.com.br) on 2015-12-08T17:12:27Z (GMT) No. of bitstreams: 1 2015_tese_feesousa.pdf: 2590741 bytes, checksum: dee6e19ddd0b4122c54e2424fe25ea22 (MD5) / Made available in DSpace on 2015-12-08T17:12:27Z (GMT). No. of bitstreams: 1 2015_tese_feesousa.pdf: 2590741 bytes, checksum: dee6e19ddd0b4122c54e2424fe25ea22 (MD5) Previous issue date: 2015 / The use of the question as didactic mediation strategy in living Fedathi Sequence forms the core of the research that resulted in this thesis. Fedathi Sequence is the teaching methodology used by teachers and researchers from the Multimedia Research Laboratory of the Faculty of Education at the Federal University of Ceará, where the essence of which is shown in mediating posture of the teacher in the classroom. The question was proposed and used in this work as the foundation of a mediator teacher action classified into five types: routine, investigative, diagnostic, evaluative and counterexample. The main objective of this research summarized in to analyze the contributions of the question use mediation as a teaching strategy in teaching mathematics in initial classes of elementary school, from the experience of teaching methodology Sequence Fedathi. As theoretical contributions, the research was based on theories and works that bring approaches to the question and on their use in the teaching field, especially Fedathi Sequence, with its principles, levels and stages. The research was methodological basis the principles of qualitative research, through action research. Fieldwork was conducted in a public school elementary school in the municipal city of Quixadá-CE, having as subjects teachers this stage of education, in different number on each investigative phase. The research took place in three stages: bibliographical study; empirical research; and production of the report. The empirical research was conducted in four phases: exploratory research; continuing education; observation of teachers using the question; and analysis of the practice of these teachers. The continuing education activities consisted of face meetings; individual care; and not face meetings, using the TelEduc platform. Each teacher took the question in three educational sessions with Fedathi Sequence, at its three levels: preparation, experience and analysis, which have been reported and analyzed two lessons of each teacher. With the analysis came to the following findings and conclusions: the use of the question as didactic mediation strategy in living Fedathi Sequence provides the investigative mathematics education, where the student takes the researcher posture; the use of question requires that the teacher takes the mediator posture; the mediating posture of the teacher to use the question depends on your learning and mathematical knowledge, but also his conception of teaching and the teaching of Mathematics. / O uso da pergunta como estratégia de mediação didática na vivência da Sequência Fedathi constitui o núcleo da investigação que resultou neste trabalho de tese. Sequência Fedathi é a metodologia de ensino utilizada por professores e pesquisadores do Laboratório de Pesquisa Multimeios da Faculdade de Educação, na Universidade Federal do Ceará, cuja essência mostra-se na postura mediadora do professor na sala de aula. A pergunta foi proposta e utilizada neste trabalho como o fundamento da ação mediadora do professor, classificada em cinco tipos: de rotina, investigativa, diagnóstica, contraexemplo e avaliativa. O principal objetivo dessa pesquisa resumiu-se em analisar as contribuições do uso da pergunta como estratégia de mediação didática no ensino de Matemática, em turmas iniciais do Ensino Fundamental, a partir da vivência da metodologia de ensino Sequência Fedathi. Como aportes teóricos, a investigação fundamentou-se em teorias e trabalhos que trazem abordagens acerca da pergunta e sobre seu uso no campo didático, principalmente a Sequência Fedathi, com seus princípios, níveis e etapas. A pesquisa teve como base metodológica os princípios da pesquisa qualitativa, por meio da pesquisa-ação. O trabalho de campo foi realizado em uma escola pública de Ensino Fundamental da rede municipal da cidade de Quixadá-CE, tendo como sujeitos professores dessa etapa da educação, em número diferente em cada fase investigativa. A investigação aconteceu em três etapas: estudo bibliográfico; pesquisa empírica; e produção do relatório. A pesquisa empírica realizou-se em quatro fases: pesquisa exploratória; formação continuada; observação dos professores com o uso da pergunta; e análise da prática desses professores. As atividades de formação continuada consistiram em encontros presenciais, atendimento individual e encontros não presenciais, com o uso da plataforma TelEduc. Cada professor fez uso da pergunta em três sessões didáticas com a Sequência Fedathi, nos seus três níveis: preparação, vivência e análise, das quais foram relatadas e analisadas duas aulas de cada docente. Com a análise, chegou-se aos seguintes resultados e conclusões: o uso da pergunta como estratégia de mediação didática na vivência da Sequência Fedathi proporciona um ensino de Matemática mais investigativo, em que o aluno assume a postura de pesquisador; o uso da pergunta exige que o professor assuma a postura de mediador; a postura mediadora do professor para o uso da pergunta depende dos seus conhecimentos didáticos e matemáticos, mas também da sua concepção sobre o ensino e sobre o ensino de Matemática.