Ateliês de história e pedagogia da matemática: contribuições para a formação de professores que ensinam matemática nos anos iniciais

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

Um estudo sobre a apreciação do raciocínio matemático na formação inicial de professores

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

Uma visão local de um projeto nacional: o curso mídias na educação

The essay "A local view of a national project: the course in Media Education" presents a research aimed at analyzing how the course Media in Education is being implemented by both Federal University of Rio Grande do Norte and State University of Rio Grande do Norte, with the intention of pointing out weaknesses in its use, which should be resolved in order to contribute to the design of other courses along these lines. Therefore, we performed a survey in which data collection, have used open questionnaires available in online pages created specifically for this purpose and administered to alumni and former participants, course participants and tutors from the two universities involved in the research. Through these questionnaires, we identified, especially, those aspects that negatively affect the provision of course related to the student's profile, the virtual learning environment where the course is hosted, the meetings, the contents and activities, the mentoring and the dropout, and the changes to improve the implementation of the course. The research collaborators are professors of public basic education. To understand the continuing education of teachers, conducted through distance education, using the virtual learning environment, we contextualize this from the nineties, in the context of the Brazilian educational reform took place in that decade. The Media in Education course is presented as a different proposition because it allows teachers to follow different pathways, materialized in the learning cycle. At the end of the study, we conclude that the implementation of this course, of the RN, the conditions for dialogue to happen, specifically, are not given

Educação a distância e material didático: um estudo sobre o curso mídias na educação

The thesis Distance learning and didactic material: a study about the course Media in the education in Natal shows a research about the didactic material and its insertion in the distance training course to teachers. In this sense, this research aims to contribute to some universities with reflections about the way to elaborate the didactic material to the distance training course of teachers with the following specific objectives: a) identify some aspects in the didactic material in the extension course Media in the Education that difficult media usage by the teachers members of the course in the pedagogical practice; b) discuss about the way how didactic material to the distance training course to teachers has been created; c) stimulate teachers/members to integrate media in their teacher practice. For that reason, we have developed an action-research (THIOLLENT, 2011; FRANCO, 2005), based on it we elaborated a proposal do complement activities to the course Media in the Education that were applied to two classes during the fifth edition of this course. This research is presented in four steps: 1st) analyze of the course modules; 2nd) creation of a proposal to complement the activities; 3rd) applying the proposal to the students during the fifth edition to the course; 4th) analyze of forums and log books written by teachers/students. Data was analyzed by the contents perspective of Bardin (2011). As a theoretical support, we have Tardif (2012), about teachers knowledge; Dewey (1959; 2011) and Freire (2001; 2009; 2010a; 2010b; 2012) related to learning perspective; Candau (2002), Rays (2003) and Freire (2010a), about the relation theory x practice in the teacher training; Andrade (2003; 2009) and Belloni (2010) about distance teacher training; Bérvot; Belloni (2009), Neves; Medeiros (2005) and Prado (2005), related to Media integration. This research revealed the didactic material of the course Media in the Education has not a proposal to articulate theory and practice, due to this, this course opposed the Media integration. For that reason, teachers/members have real problems to integrate Media in their scholar routine. This research confirmed the way this didactic material was formulated did not help the teachers/students to integrate media in their pedagogical activities

A representação social de disciplinas didático-pedagógicas no contexto da formação inicial docente: um entremear de saberes

We seek, through this study, to analyze about social representation that the students of licentiate degree course of the Federal Institute of Education, Science and Technology of Rio Grande do Norte - IFRN - have about didactic-pedagogical subjects. We utilize the Social Representations Theory (MOSCOVICI, 2009; 2012; JODELET, 2001) as a theoretical and methodological contribution and as aim, we identify this social representation and understand how it is influenced by the formation of these undergraduates. So we developed the research under the seven undergraduate classroom courses offered by IFRN, namely: Biology, Spanish, Physics, Geography, Computer Science, Mathematics and Chemistry, covering units located both in the capital and in the countryside. While methodological approach we used the Procedure of Multiple Classification (PMC) - (ROAZZI, 1995), whose realization requires a set of words achieved through of Free Technique of Words Association - FTWA - (ABRIC, 1998). For this realization we have a total of one hundred twenty (120) participants, with thirty (30) in FTWA and other stage in the realization of free classification and directed that correspond to the MPR. Achieved the empirical data, we use the analysis of content (BARDIN, 2011; FRANCO, 2007) and multidimensional (ROAZZI, 1995) for the course of his interpretation. Finally, we identify the social representation of didactic and pedagogical subjects centered around the idea that it is through these subjects that can achieve the profile of "good professional" as one who gathers knowledge and attributes required for the full development of teaching involving capabilities it and characteristics that mark the sense of professionalism. Furthermore, we found that the anchoring social representation on the understanding that these disciplines "teach the teacher to be" in the image and its objectification of the "good teacher", ie, one that reaches through the training process and experiences, qualities that make it unique and able to carry full professional. Still see that the actions of the teacher trainer affects the way students perceive, assume and engage in the study of teaching and pedagogical subjects and it reflects significantly the social representation then created

Formação de professores, saberes, reflexividade e apropriação da cultura digital no Projeto Um Computador por Aluno (UCA)

This study investigates teacher training and cognitive practice of teachers in a Basic Education school that adopted the Project One Computer per Student (OCS) in their school routine. Its relevance consists in provide directions for the continuation of training activities on the Project and guide the teachers with their pedagogical practices using the laptop model one to one. The thesis defended is that the educator formation for social using of digital media (specially the laptops from the Project UCA) gives space to establish new sociotechnical relationships, of new social and professionals practices, new identitary components and a process of reflexivity and knowledge reconstruction to teach. We reaffirm the importance of reflexivity and appropriation of digital culture for the better development of teaching practice using the Information and Communication Technologies (ICTs), giving focus to the aspects of social and professional use of the technology. The study is part of the qualitative aspect and is a procedural tracking based on principles of ethnographic research. As procedures and methodological tools, were used: intensive observation of school environments, documental analysis, focal group, semi-structured questionnaires and semi-structured individual interviews. The research was held in a public school in the city of Parnamirim - RN. The subject sample relates to 17 teachers, coming from the elementary school I and II, Youth and Adult Education and High School, who went through the process of training UCA and having entered the laptops in their teaching. The research corpus is structured based on the messages built into the process of data collection and is analyzed based on principles of Content Analysis, specified by Laurence Bardin (2011). Was taken as theoretical reference studies by Tardif (2000; 2011), Pimenta (2009), Gorz (2004, 2005), Giddens (1991), Dewey, J. (1916), Boudieu (1994; 1999), Freire (1996; 2005), among others. The analysis indicates a process of reconstruction / revision of knowledge to teach and work in digital culture, being these knowledges guided by the experience of the subjects investigated. The reconstructed knowledges will be revealed from a categorization process. The following groups of knowledges: "technical knowledges", "didactic-methodological knowledges and knowledges of professionalization" were built on the assumption of ownership of digital culture in the educational context. The analysis confirms the appearance of new ways of sociability when acquiring other forms of acting and thinking ICTs, despite the environment adverse to the reflexivity shared among the teachers. Also reveals, based on the ownership concept present on the data analysis, the construction of meanings of belonging and transformation of individuals into social routes from the interweaving of the teaching practice with the digital culture. Emphasizes, finally, the importance of a training for use of ICTs that exceeds the instrumentation, in other words, what we call "technical knowledges", but taking on its structural basis the shared reflection, the opening for the ressignificance (new meaning) and reconstruction of new knowledges and practices and that really allows, to the teacher, the living of an experience capable of providing socio-technical transformations of their relationships

Análise dos efeitos de um plano educacional individualizado no desenvolvimento acadêmico e funcional de um aluno com transtorno do espectro do autismo

Given the paradigm of inclusive education, the presence of students with autism spectrum disorder in regular schools has become more significant in recent years. Studies have revealed, however, deficits in academic participation of these students in these settings. Among the factors contributing to this phenomenon include poor teacher training and the lack of strategies to promote curriculum access. The aim of this study was to develop an instrument that would promote academic inclusion of a student with autism through procedures that could simultaneously empower the teacher. In this perspective, the study aimed to analyze the effects of an Individualized Educational Plan (IEP), developed collaboratively with teachers, on the academic and functional development of a student with autism in an early childhood education setting. Data were collected in a private school located in the city of Natal in Rio Grande do Norte, in the course of the academic year 2012. In addition to the student with autism, one teacher, a specialized educator, and four teacher aides participated in the study. The research used a single subject quasi-experimental design (AB) as well as qualitative methods of data analysis. The study was conducted in three phases: characterization, baseline and intervention. The first comprised interviews with the child´s parents and teachers, as well as the identification of two routines focus of intervention. In the second phase, the amount of time the student spent engaged in the selected routines during baseline was analyzed. In the third phase, the researcher prepared, collaboratively with the teachers, an individualized educational plan (IEP) for the student. Finally, the IEP was implemented by the teachers. The results indicated qualitative and quantitative changes in student´s participation in academic and functional tasks after the intervention program

Aprendendo e ensinando o sistema de numeração decimal: uma contribuição à prática pedagógica do professor

The central question of the present study is to identify the epistemological knowledge that the teachers-trainees possess regarding the characteristics (properties) of the decimal numbering system; its purpose is to offer a contribution to the pedagogic practice of the teachers who work within the Basic Literacy Cycle, in terms of what concerns both the acquisition of contents and the development of the knowledge that helps them in the elaboration of adequate strategies to working with the Decimal Numbering System in the classroom. The study is based on the constructivist sociointeractionist approach to teaching Mathematics and it constitutes, in itself, a methodological intervention with the teachers-trainees engaged in the Professional Qualification Program in Basic Education of the Federal University of Rio Grande do Norte. The foundations of the study were found in investigations of researchers who had carried out studies on the construction of numerical writing, showing, for instance, that the construction process of ideas and procedures involved in groupings and changes to base 10 take a lot longer to be accomplished than one can imagine. A set of activities was then elaborated which could not only contribute to the acquisition of contents but that could also make the teachers-trainees reflect upon their teaching practices in the classroom so that in this way they will be able to elaborate more consistent didactic approaches, taking into consideration the previous knowledge of the students and also some obstacles that often appear along the way. Even when teachers have access to the most appropriate dicactic resources, the lack of knowledge of the content and of the real meaning of that content make the Decimal Numbering System, a subject of fundamental importance, be taught most times in a mechanical way. The analisys of the discussions and behaviours of the teachers-trainees during the activities reavealed that they made them reflect upon their current practices in the classroom and that, as a whole, the aims of each of the activities carried out with the teachers-trainers were reached

As Ciências Espaciais, o saber e o fazer docente no ensino fundamental

This study aims to include topics related to Space Science in elementary education from an experiment that aims to rescue the science teachers in public schools of São Tomé, RN, a taste for experimentation and exploration of advanced technologies. During this research with teachers found that they knew enough about the subject, but this knowledge was restricted to the events disclosed by the media. Regarding scientific knowledge, that same surface, they had many conceptual difficulties which hindered the approach of these topics in their classes. To overcome this difficulty, a workshop was held where teachers had the opportunity to discuss the historical aspect of Space Science, some physical concepts related to it, and the conduct of experiments with PET bottle rockets that recover from the curiosity typical of how the science. The results were outlined in the form of Planning Didactic built by teachers and using themes related to space science, from there, discussing content already provided in the composition of the schools curriculum. Therefore, this work allowed the teachers a minimum training required for them to not only reproduce, but readjusted and build, from this, their own paths in the classroom at the fundamental level

A estratégia didática de resolução de problemas na formação de professores de química

In this work it is presented a research developed in the initial training of teachers of the chemistry graduation course at the Universidade Federal do Rio Grande do Norte (UFRN). The intervention was realized in two classes in the context of a discipline in the curricular structure with nineteen undergraduate students of chemistry. The study utilizes characteristics of the qualitative approach and uses observation, questionnaires, interviews and examination papers. The experiment involved a sequence of activities fundamented on the Problem Solving (PS) teaching strategy to approach chemical concepts. The proposal was planned and organized according to the theoretical presupposition of the work developed by the authors of the Science Education in PS, of teaching experience and from the initial hypotheses of the research. The goal was that the future teachers could experience the strategy and advance to the new meanings. The themes addressed in the activities were the difference between exercises and problems, exercises turning into problems, the steps of problem solving and some implications of the teaching strategy for the work of the teacher. The results showed evidence that through a process of collective reflection, and from the difficulties experienced in the strategy practice, the undergraduates are introduced to new perspectives of reflection and action of teaching practice, and understanding some benefits of innovative proposals for the teaching of chemistry. It also showed that, although this theme is approached, in some moments of the graduation, the future teachers don‟t know when or how to realize activities in this perspective. From the aspects that rose in research we highlighted the difficulties in the problem solving steps, the use of the strategy in school and the knowledge and skills of the teacher for planning activities in Problem Solving

Caracterização da área de Ensino de Biologia e Ciências no mestrado profissional da UFRN a partir das dissertações

The deployment of master professionals in Mathematics and Science Teaching by CAPES provided an interesting perspective, involving institutional incentive to upgrade teacher training in this modality. In this sense, the objective was to map the profile of the candidates in the Graduate School of Natural Sciences and Mathematics UFRN (PPGECNM), develop a database with specific descriptors for dissertations and research the group creation biology research and dissertations produced by graduate students in the Master course. This thesis has three threads, where the first is entitled: "The teaching of science as part of research: emergency, improvement and current reflections", giving a brief description of the creation of graduate studies and the emergence of Brazil in Science education. The second topic: "Professional Masters in Teaching of Natural Sciences and Mathematics-UFRN: candidate profile the biological ', shows the general characteristics of PPGECNM-UFRN and who are the candidates seeking the biological area of the Graduate Program. The third topic. "The construction and consolidation of the research group in biology education in PPGECNM-UFRN", a survey was made of data on the creation of the research group in biology education from the analysis of academic productions of teachers and masters graduates this Masters course, for those involved, some additional interviews about the experience in training in biology education. Data used in these investigations related to these students correspond to the technical product to be used in other studies profile teachers /dissertations from the PPGECNM / UFRN. Research shows that: the existence of a larger number of postgraduate courses in the field of Science Education provides greater productivity in academic research on the subject, the emergence of a research group on education in biology, tied to a post degree in education, is an attraction to strengthen lines of research in science education by teachers researchers in other disciplines, the candidates seeking permanent area for research in biology education signals the importance of this investment because if shows the need to search for the continuing education of practicing teachers, demands with interests in investigations from real problems from school

Ensinando sobre a natureza da ciência: uma abordagem explícita e contextualizada a partir da história do vácuo

In last decades, the importance of including the contents of the Nature of Science (NOS) in Science Education has been emphasized. Several studies have focused on investigating the conceptions of NOS, supported by students and teachers, as well as design, implement and evaluate proposals that aim to provide a reflection on this theme in the educational context. Considering the complexity of such content, studies indicate the need for explicit and contextualized approaches and the History of Science (HS) is one of the possible paths to this inclusion. We started from the premise that, through a historical study, that aims to discuss the meaning and the basis of our "beliefs", we can know the process of building on what we "believe" and better understand its meaning. This thesis is part of this perspective, proposing to explore the History of the Vacuum, a themed high didactic potential still little used, in order to collaborate with the teaching content of NOS. We present actions on different fronts that originated three products in the context of this research. On the first front, we insert the research and production of instructional materials (three historical texts) to subsidize people interested in the implementation of HPS for educational context through this material. The relevance of this front is justified by the existence of gaps with regard to the production of such material for the context of teacher training. However, we consider that the preparation of instructional material of good quality and accessible does not guarantee that these resources will be used, if they will not be accompanied by discussions in teacher training, on how to use them, contexts and obstacles to be faced. The second part presented refers to the organization and implementation of a workshop for undergraduate students in physics and physics teachers, considering the instrumentalization of these individuals to the preparation and use of teaching strategies to approach aspects of NOS through episodes of History of the Vacuum, as well as the preparation of the text orientation for people interested in implementing the instructional material for secondary education. This guidance text contemplates the difficulties anticipated by the literature of the area and the main challenges faced by the participants about the didactic transposition of HPS for the educational context they were noted during the workshop. The relevance of this second front, in particular, is justified by the existence of gaps with regard to the inclusion of the theme of NOS and the HPS teacher training

Ensino por investigação: contribuições de um curso de formação continuada para a prática de professores de ciências naturais e biologia

Normally initial teacher training has not been sufficient to provide all the tools for an updated and efficient teaching practice. It is presented here one of the ways of working the completion of the initial training through a course of continuing education. This course is based on inquiry teaching which is considered an important teaching strategy for science education. This kind of teaching enables improvement of students reasoning and cognitive skills, the cooperation among them, the understanding of the nature of scientific work, and the motivation to think about the relationship between science, technology, society and environment. For this dissertation a course of continuing education based on this approach was followed in order to evaluate which contributions it can bring to the teaching practice. The course was followed based on three stages: on the first there was a questionnaire and an informal interview; next it happened through participant observation with audio and visual aid; the third stage happened through semi structured interview. The collected information was analyzed based on Content Analysis. An inquiry teaching pedagogical material was produced for the course including some examples and applications of this approach. The aim of the material is that it can be a support for the teachers after de course. The results allowed seeing that the course was very useful, different from the traditional and the teachers that put the approach to use found it to be very positive. Thus it can be said that some of the teachers who participated will try again to apply it, try to contextualize more the teaching situations with the students day to day life, as well make them more active and critic. We can also gather from the study, that the inquiry teaching is a very different tool from what the teacher was taught and is accustomed to use and the theoretical comprehension, acceptance and practice change is a complicated process and demands time

Formação docente e gêneros discursivos:o dizer, o saber e o fazer

This master dissertation presented to the Language Studies Post-Graduation Program of the Federal University of Rio Grande do Norte aims present an analysis about the initial teacher training, the knowledge about discursive genres and its usage in basic education professional classrooms. Therefore, it was analyzed, from teachers of fourth and fifth grades of elementary schools, if the initial training provides enough useful tools to be applied in Portuguese classes, i.e., if during the teacher training process concepts of discursive genres emerge, which of these concepts can be noticed and how this knowledge helps teachers in their classrooms. In order to achieve this aim, it was taken into account studies about the initial teacher training, about the knowledge diversity that is part of the teaching knowledge and also about discursive genres based on Bakhtin‟s conception, which is used in the Parâmetros Curriculares Nacionais (PCN). This research is qualitative of interpretative basis and has taken an opened questions questionnaire and classroom observations with audio recording data as corpus of analysis. As results of this investigation, it is possible to emphasize that the initial teacher training has left some gaps in discursive genres concepts and usage in Portuguese classes, that it is not only one kind of knowledge that compound the teacher knowledge and, because of this, working with disciplinarians knowledge, specially about discursive genres, is to emphasize one among many others.

A linguagem da reflexão de uma professora de Língua Inglesa: um estudo de caso sob a perspectiva do sistema de avaliatividade

Research about teacher education, carried out in the area of Applied Linguistics (AL), reveals the importance of reflective practices in the professional development of teachers. With the aim of contributing to this area, we present this case study conducted at a technical school in Natal, RN. The corpus of the study is formed mainly from the teacher‟s discourse, generated during a stimulated recall session and the instruments used to collect the data: an initial questionnaire, a video recording of a class and the text transcript of the stimulated recall session. The central objective is to understand the way in which the reflection-on-action (SCHÖN, 1983, 1987) can contribute to raise the awareness of an English as a Foreign Language teacher (EFL) about her actions in the classroom. With this proposal, we begin our discussion presenting the origins, the presuppositions and characteristics of the concept of reflection according to Schön (1983, 1987), and supported by other authors (PERRENOUD, 2002; GÓMEZ, 1995; IMBERNÓN, 2009, among others); of critical reflection (LISTON e ZEICHNER, 1993; PIMENTA, 2002; DUTRA e MELLO, 2004, among others); and of the process of critical reflection (SMYTH, 1992). To evidence the reflections that emerge in the teacher‟s discourse, we found support in the theories and methods of Systemic Functional Grammar (SFG), which was initially proposed by Halliday (1985, 1994), Halliday and Hasan (1989), Halliday and Matthiessen (2004) and followers, such as, Eggins (1994), Thompson (1996), among others. We focus mainly on the subsystem of Attitude, an integral component of the system of discourse resources, Appraisal, presented by Martin (2000), Martin and Rose (2003, 2007), Martin and White (2005). The results reveal that the actions of the teacher in the classroom reflect not only her professional experiences, but also her values and concepts about teaching/learning languages. The results also show the teacher‟s awareness of the need for changes in her practices. Faced with these findings, we believe that this study reveals important concepts that can direct teacher educators to rethink new ways of approaching teacher training courses. In addition, it also reveals the importance of discourse analysis based on a systemic functional approach.