Os jogos com regras na educação matemática inclusiva

This present study aimed to examine the use of games with rules in working with math education in regular classes included in Elementary School, in the municipal education schools of Natal/RN, observing the learning process and development of all students, especially those with disabilities. The theoretical references used are based on Vygotsky's works and other authors from the historical-cultural perspective, as well as researchers in the field of Inclusive Education and Mathematics Education. The investigation was based on the qualitative research guidelines, with the application of semi-structured interviews with educational coordinators and teachers from the schools involved as well as classroom observations, looking for, in the speeches of those involved and in their teaching practices, elements to reflect on the Mathematics Inclusive Education, the use of games with rules -starting from its goals, the participation of disabled students, the pedagogical mediations, up to its accessibility - and from the learning of disabled students. The analysis results showed that the concepts underlying the development of inclusive teaching practices still refer to the clinical-medical paradigm, understanding the student with disabilities from their deficiencies; which teachers use, in their majority, the mathematical games with rules in their classes, but which the teaching mediation, during these activities, still needs to be qualified so that they can, effectively, contribute to the learning and development of all students; students with disabilities do not always participate in games with others colleagues; games with rules are rarely accessible; and that the Universal Design principles are not adopted in the selected classrooms for this study. Thus, it is clear that much remains to be done so that Mathematics Education can contribute to the learning and development of all students, and among those actions the teacher continuing education is recommended

Formação docente e conhecimento profissional: desafios para o ensino da matemática na EJA

As for the Education for Youth and Adult (EYA), the challenge of training these teachers is to provide tools to understand and act on the teaching of mathematics. It is realized just how special education in this modality and as such teaching is lacking in an adequate and solid training in the area of knowledge. One of the major problems affecting this type of education is the high dropout and failure rates, and lack of motivation among students. Thus the need to provide differentiated profile with a professional to teach youth and adults students, so that they are able to mobilize didactic-pedagogic knowledge, methodologies and theoretical frameworks that serve as a basis for school-developed teaching practice. This thesis aims to investigate how the math teacher, who acts in adult education from elementary school, has developed its didactic and pedagogical action, and that professional knowledge has been mobilized to teach? It has highlighted the importance of initial and continuing training and professionalization of teachers dedicated to this specific type of education, when teachers should be the protagonists of their professional development. The methodological approach was begun with a literature review, then the research was anchored mainly on the ideas by Gauthier, Nuñez and Ramalho (2004); Imbernon (2011), Garcia (2006); Perrenoud (2000); Tardif (2007 ); Haddad, Di Pierro (2000), D'Ambrosio (2002), Mendes (2006, 2009), Freire (1996, 2011), and other theorists and official documents of field of adult education here and abroad. That work leads us to the understanding of the present moment from a foray into historical and conceptual aspects, as well as educational policies of EYA, as well as training, professionalism, knowledge and skills necessary for professional practice. Then, the subjects and the locus of research and the instrument for data collection were set up and led by the object of study. To consolidate the study was selected a sample of 27 mathematics teachers, working in municipal EYA Network Teaching of Natal. This research is in an investigative nature, within the quantitative and qualitative approaches focused on the responses of study subjects from the content analysis by Bardin (1977). Results from the analyzes have revealed that the initial training of mathematics teachers of adult education needs to be reconfigured in order to formalize the knowledge base of professionals (the mathematical content, didactics and professional knowledge). Thus the study suggests that this base knowledge is embedded in the pedagogical practice of these teachers, so that there is a completion of the teaching and learning process for young people and adults. The study also has pointed out that there is a need for teachers to participate in a continuing education plan that prioritizes learning situations of mathematical content considering the previous knowledge of the students. The final analyses thus indicate that knowledge of mathematics and the didactic and pedagogical strategies to be mobilized by teachers must be able to motivate the students in such a way that they feel need to incorporate in their knowledge, mathematical knowledge capable of making them more likely to have access to social, economic and labor market

O lugar pedagógico da educação física na educação infantil: saberes (re)construídos na formação continuada do PAIDÉIA/UFRN

The present study aimed to investigate the overview of teachers in continuing education program who work in kindergarten, about the continuing education developed by the Paideia/UFRN through the Course of Specialization in Art Teaching and Physical Education in Childhood, having as key focus, the knowing / doing related to physical education in Childhood. From this general goal, it was elected some specific objectives as: to know the interests and expectations that motivated the teachers to participate of that referred training; the evaluation by teachers on regard of the continuing education proposed: boosters factors for possible changes in teaching activities regarding the practice of teaching physical education in kindergarten. The methodology took the principles and techniques of qualitative research strategy and the characteristics of descriptive and interpretive strategy. The locus of this research was the Course of Specialization in Art Education and Physical Education in childhood, having as the citizens of this research twenty three teachers taking that specialization course. For building and systematization of the data, we used the following tools and procedures: a questionnaire, a semi structured interview and documents analysis. The data was constructed based on the technique of content analysis, focusing the reflections and speech of the teachers about the creation of new meanings and senses for the knowing / doing in Physical Education. It was found, among other results, the need and quest for improvement of teacher education, in order to improve educational practice. It was also evident that the situations of dialogues (interactions with peers, with their professors and other professionals in the related area or not) were mentioned by most teachers in the course as a relevant moment of redefinition of knowledge. In relation to Physical Education, it was found that participation in the course of specialization provided the recognition of teaching practice of physical education as part of the curriculum and the importance of inclusion of its specificities in their educational planning. From these elaborations, we come to the conclusion that knowing the perspectives of the teachers about continuing education can contribute to the theoretical and methodological discussions in teachers education and the creation of new actions - projects and programs of continuing education constructing increasingly ways towards a successful teacher formation, able to provide new forms of acting in the educational context

Objetiva(ação) da medida e contagem do tempo em práticas socioculturais e educativas

This thesis describes and analyzes various processes established and practiced by both groups about the socio-cultural objective (action) the measurement and timing, mobilized some socio-historical practices as the use of the gnômon of the sundial and reading and interpretation of movements celestial constellations in cultural contexts such as indigenous communities and fishermen in the state of Pará, Brazil. The Purpose of the study was to describe and analyze the mobilization of such practices in the socio-historical development of matrices for teaching concepts and skills related to geometric angles, similar triangles, symmetry and proportionality in the training of mathematics teachers. The record of the entire history of investigation into the socio-historical practice, the formative action was based on epistemological assumptions of education ethnomathematics proposed by Vergani (2000, 2007) and Ubiratan D'Ambrosio (1986, 1993, 1996, 2001, 2004) and Alain Bishop conceptions about mathematics enculturation. At the end of the study I present my views on the practices of contributions called socio-cultural and historical for school mathematics, to give meaning to the concept formation and teaching of students, especially the implications of Education Ethnomatematics proposed by Vergani (2000) for training of future teachers of mathematics

Os ateliês (auto)formativos na constituição do sujeito docente da educação matemática

The object of study of this thesis is the use of (self)training workshops as a fundamental process for the constitution of the teaching subject in mathematics education. The central purposes of the study were to describe and analyze a learning process of mathematics teachers supported by the training-research methodology, which procedures have been affected with the practice of (self)training workshops as a way of collaborating to the constitution of the teaching subject in Mathematics Education. The survey was conducted with a group of teachers in the city of Nova Cruz, Rio Grande do Norte through a process of continued education realized in the training workshops having as main goal the realization of the group s (self)training sessions in order to lead participants to the extent of their autonomy in their personal and professional transformations. The results obtained in the formative processes have shown the need to develop activities of mathematics teaching as a contribution to overcome the conceptual difficulties of the teachers, apart from their (self)reflections about themselves and the educational processes in which they belong. The results raised some propositions about (self)training workshops that may be incurred in practices to be included in the curriculum frameworks or materialize as a strategy of pedagogical work in training courses for teachers of mathematics. Also, they can constitute an administrative and educational activity to be instituted in the public schools of Basic Education

Práticas etnomatemáticas no Liceu do Paracuri :a propósito dos ornamentos geométricos da cerâmica

The present study analyzes the ethnomatematics practices presents in the creation of the geometric ornaments of the icoaraciense ceramic, originated and still practiced in the neighborhood of Paracuri, District of Icoaraci, belonging to Belém, capital of the State of Pará/Brasil. The object of our study was centered at the workshops supplied by the artisans master of the School of Arts and Occupations, Master Raimundo Cardoso. Referred school provides to its students, formation at fundamental level as well professional formation, through vocational workshops that help to maintain alive the practice of the icoaraciense ceramic. Our interest of researching that cultural and vocational practice appeared when we got in touch with that School, during the development of activities of a discipline of the degree course of mathematics. In order to reach our objective, we accomplished, initially, a research about the icoaraciense ceramic historic, since the first works with the clay until to the main characteristics of that ceramic. Soon afterwards, we discussed on ethnomatematics, culture, knowledge, cognition and mathematical education. At the end, we analyzed the creation of the geometric ornaments of the icoaraciense ceramic, considering the proportion concepts, symmetry and some geometry notions, that are used by the artisans when they are ornamenting the pieces of that ceramic. We verified that, in spite of the artisans, usually, do not demonstrate to possess a bit of domain on the mathematical concepts that they are working with, for instance, the ones of translaction symmetry, rotation and reflection, they demonstrate full safety in the use of those concepts, as well as the capacity to recognize them, even if in a singular specific and very peculiar way, what opens the possibility of a partnership among mathematics teachers and master-artisans of the archeological ceramic and icoaraciense workshops

Uma investigação histórica sobre os logaritmos com sugestões didáticas para a sala de aula

This study was conducted from a preliminary research to identify the conceptual and didactic approach to the logarithms given in the main textbooks adopted by the Mathematics teachers in state schools in the School of Natal, in Rio Grande do Norte. I carried out an historical investigation of the logarithms in order to reorient the math teacher to improve its educational approach this subject in the classroom. Based on the research approach I adopted a model of the log based on three concepts: the arithmetic, the geometric and algebraic-functional. The main objective of this work is to redirect the teacher for a broad and significant understanding of the content in order to overcome their difficulties in the classroom and thus realize an education that can reach the students learning. The investigative study indicated the possibility of addressing the logarithms in the classroom so transversalizante and interdisciplinary. In this regard, I point to some practical applications of this matter are fundamental in the study of natural phenomena as earthquakes, population growth, among others. These practical applications are connected, approximately, Basic Problematization Units (BPUs) to be used in the classroom. In closing, I offer some activities that helped teachers to understand and clarify the meaningful study of this topic in their teaching practice

Vídeo-aula de história da matemática: uma possibilidade didática para o ensino de matemática

In this work we are disagreeing with the possibility of production and of the use of video-class for the disciplines of history of mathematics by the teachers of elementary e middle school as a way to contribute to the development of their classes. Our goal is to provide to the mathematics teachers the option of connecting social, scientific, cognitive, and didactic aspects of topics in math thoughts to their students. That shall be based in the presence of mathematics in the history of humanity. Thus, we consider possible that teachers and their students can link and relate mathematics to other sciences, education culture, and reflect about the many ways of represent them, as well as the patters of organization of nature and of culture. In this way, they shall be able to observe and interpret situations that involve mathematical questions associated to the various means of historic-epistemological studies already done by other researchers and scholars in the field of history of mathematics who works in creating video-classes. In addition to that, we can use all the available media in order to give edifying dynamics to the mathematical formulations established throughout history. In this sense, we are based and focused on the objectives, which are sustained by educational computer technology, techniques for video making, as well as mathematical teaching proposals and the historical inquiring made by Mendes (2001, 2009a, 2009b). The validating experimentation allowed us to conclude that the techniques we used in the production of the history of mathematics video-classes proved they to be valid ones. They are able to be executed with the minimum of technological resources. In addition, they have the same efficacy as far as classroom use

Representações de professores de língua inglesa de Natal-RN: um estudo sistêmico-funcional

Teaching and learning representations have been more and more investigated in the Brazilian applied linguistics field, as it allows the understanding of the teachers representations and how they conceive the learning process. This practice facilitates the planning of actions to improve the educational system. This study aims at identifying, interpreting and discussing some representations related to the identity and professional view of English as a foreign language teachers in different school contexts of Natal-RN. The theoretical and methodological foundation for this research is Halliday s Systemic- Functional Linguistics (1994; HALLIDAY; MATHIESSEN, 2004; EGGINS, 1994, among others). Our goal was to reveal the teachers representations embedded in their language, mainly through the ideational metafunction, as language is the tool we use to express ourselves about the external world (events, qualities, things, etc) and the internal world (thoughts, beliefs, feelings, etc). The research corpus is made of 21 teacher narratives, generated from a questionnaire sent to the teachers, who were divided in two groups: Group 1 (public schools teachers) and Group 2 (private schools and English course teachers). Most of the participants seemed to be satisfied with their professional choice. Many of them see the job as a challenge and an opportunity to transmit knowledge. All of them affirmed that the English teacher is a professional, for different reasons; however, the low professional appreciation was a recurrent aspect among the studied narratives. When asked about where they work, the private school teachers seemed to be more satisfied with the teaching-learning process than the ones from the public schools. We believe that the data analyzed in this study is important to show how some English teachers from Natal-RN see their profession. The results might be used in continuing education courses as food-for-thought in group discussions, as it is extremely important to emphasize and stimulate this practice

A construção da imagem de leitor em memórias de leitura

In this work, we analyzed reading memories of mother language teachers in continuing education context. Our objective was to understand how each individual has built his/her reader image. Our theoretical approach to the construction of selfimage was based on the concept of discursive ethos, understanding it with Charaudeau (2006) as something constructed in the intersection of glances (of the self and the other). To understand how each teacher has built his/her reader image in that intertwining of glances (of the self and the other) we are on the contributions of Bakhtin (2003, 2010b) on exotopic glance or distant/external glance. Therefore, in the analysis, we tried to capture the exotopic glance of the teachers about themselves in the various stages of their reader formation and from our exotopic look of researcher; we gave provisional finish of the reader image that teachers built of themselves. For the analysis, we adopted other theoretical assumptions: about genres, theme, composition and style, statement and social voices we based on Bakhtin (1997, 2003, 2010a, 2010b); on the notion of the discursive ethos we anchored in studies conducted by Maingueneau (2008a, 2008b); about reading, we adopted the theoretical references of Rojo (2005, 2008, 2009a, 2009b, 2009c, 2009d), Garcez (2002), Freire (2008) and Silva Neto (2007). For the discursive genre reading memories makes reference to the theme memory as well as is related to the context of teacher training, the study was supported in Aragão (1992) and Nóvoa`s (2007) theory. Situated in the area of Applied Linguistics, the research aligns with qualitative-interpretative approach of socio-historical basis. Finally, from the analysis of the corpus, data that emerged from the findings, we conclude by stating that readers have created images of themselves as active readers, readers interested in both readings, the ones respected and the ones unappreciated by the official culture

A linguagem audiovisual do cinema como elemento integrador da arte e ciência na formação cultural dos professores de ciências e matemática

This work aims to study about the importance of cinema for cultural and professional training of teachers of Natural Sciences and Mathematics. The educational potential of cinema is emphasizing by different authors, which also reveal the teachers' training gap in this issue (media). In this study, we defend the audiovisual language of cinema as an integrating element of Arts and Science for cultural and professional training of teachers. This subject has been developed by different authors, in which the emphasis has been the importance of intelligent dialogue with the world. Specifically, the training of science teachers and mathematics, by the approach of Cinema in its formation, It envisions the possibility of minimizing the dichotomy between humanistic and scientific training, already much discussed by some researchers. Educational products contribute to an effective experience and reflection on the cultural and educational role of the Seventh Art. Considering the Cinema as a possible "bridge" between the two cultures (scientific culture and humanistic culture) and promoting ownership of audiovisual language in teacher training It was accomplished the I Exhibition - Cultural Spring: Cinema and Science Education in UFRN. The production of the booklet "Topics of History, Language and Art of Cinema for Science and Mathematics Teachers," and its application in a short course in the XXI National Symposium on Physics Teaching also aimed to contribute to the approximation of Science and Art in training teachers.

Práticas de letramento digital de professores em formação: demandas, saberes e impactos

Over the last decades, the digital inclusion public policies have significantly invested in the purchase of hardwares and softwares in order to offer technology to the Brazilian public teaching institutions, specifically computers and broadband Internet. However, the teachers education to handle these artefacts is put away, even though there is some demand from the information society. With that, this dissertation chooses as an object of study the digital literacy practices performed by 38 (thirty-eight) teachers in initial and continuous education by means of the extension course Literacies and technologies: portuguese language teaching and cyberculture demands. In this direction, we aim at investigating the digital literacy practices of developing teachers in three specific moments: before, while and after this extension action with the intent to (i) delineate the digital literacy practices performed by the collaborators before the formative action; (ii) to narrate the literacy events made possible by the extension course; (iii) to investigate the contributions of the education course to the collaborators teaching practice. We sought theoretical contributions in the literacy studies (BAYNHAM, 1995; KLEIMAN, 1995; HAMILTON; BARTON; IVANIC, 2000), specifically when it comes to digital literacy (COPE, KALANTZIS, 2000; BUZATO, 2001, 2007, 2009; SNYDER, 2002, 2008; LANKSHEAR & KNOBEL, 2002, 2008) and teacher education (PERRENOUD, 2000; SILVA, 2001). Methodologically, this virtual ethnography study (KOZINETS, 1997; HINE, 2000) is inserted into the field of Applied Linguistics and adopts a quali-quantitative research approach (NUNAN, 1992; DÖRNYEI, 2006). The data analysis permitted to evidentiate that (i) before the course, the digital literacy practices focused on the personal and academic dimensions of their realities at the expense of the professional dimension; (ii) during the extension action, the teachers collaboratively took part in the hybrid study sessions, which had a pedagogical focus on the use of ICTs, accomplishing the use of digital literacy practices - unknown before that; (iii) after the course, the attitude of the collaborator teachers concerning the use of ICTs on their regular professional basis had changed, once those teachers started to effectively make use of them, promoting social visibility to what was produced in the school. We also observed that teachers in initial education acted as more experienced peers in collaborative learning process, offering support scaffolding (VYGOTSKY, 1978; BRUNER, 1985) to teachers in continuous education. This occurred because of the undergraduates actualize digital literacy practices were more sophisticated, besides the fact being integrate generation Y (PRENSKY, 2001)

Uma visita ao universo matemático de Lewis Carrol e o (re)encontro com sua lógica do nonsense

Notable mathematics teacher, Lewis Carroll, pseudonym of Charles Lutwidge Dodgson (1832-1898), made the mixture of mathematics with literature a ludic environment for learning that discipline. Author of Alice s Adventures In Wonderland and its sequel Alice Through The Looking Glass, he eventually created a real and complex universe which uses what we call the logic of the nonsense as an element to motivate the development of mathematical thinking of the reader, taking it as well, learn by establishing a link between the concrete (mathematics) and the imaginary (their universe). In order to investigate and discuss the educational potential of their works and state some elements that can contribute to a decentralized math education from the traditional method of following the models and decorate formulas, we visited his works based on the studies of archeology of knowledge (FOUCAULT, 2007), the rational thought and symbolic thinking (VERGANI, 2003) and about the importance of stories and narratives to the development of human cognition (FARIAS, 2006). Through a descriptive, analytical study, we used the literary construction and presented part of our study in form of a mathematical novel, to give the mathematical school a particular charm, without depriving it of its basics properties as discipline and content. Our study showed how the works of Carroll have a strong didactic element that can deploy in various activities of study and teaching for mathematics classes

Luta pela terra, luta pela palavra: história de vida e formação de duas educadoras populares do campo

This project has resulted from a reunion between me and two teachers with whom I had already worked, pedagogically counseling them during the execution of the Project of Youngsters and Adults Schooling at the Agrarian Reform Settlements in the State of Sergipe (PAJA/PRONERA) between 2002 and 2003. The matter that really motivated the research was related to the essential principle that guided the accomplishment of the PAJA s teachers education and professionalization: understanding their reality and knowing their needs, promoting the dialogue between scientific and common sense knowledge. Taking as a reference the fact that the teachers education is not restricted to the academic qualification, that is, that it is a part of the educational process, which, in turn, is a result of each one s personal background, dialectically individual and collective, the access to the teachers reality and needs was accomplished by studying their backgrounds, especially their school and professional career. They, inevitably, focused themselves on the country life s social and cultural context, that could be better understood by living together with the teachers during the twenty-seven days I stayed in the Golfo s settlement, located in the town named Pacatuba/SE. The approach to the teachers lives through their stories and the daily contact proved how much Science is still distant from the peasants routine, sometimes being presented to them as a finished product . That way, the dialog between those two categories and the expectation of the country life s social and cultural conditions, together with the education, in which teachers have an essential role, still remain as a challenge

Educação inclusiva e formação continuada: contribuições dos casos de ensino para os processos de aprendizagem e desenvolvimento profissional de professores

This study focuses on processes of learning and professional development experienced by elementary school teachers who have students with special educational needs in their classrooms. Cases and case methods can be used as methodological resource to articulate the continued training of teachers in an inclusive perspective. This research-intervention adopted a constructive-collaborative model for continued teachers formation. The main objective was to investigate the possible contributions of teaching cases, while investigative and formative strategies, for the processes of learning and professional development of teachers who work in the regular school. The data were collected by means of analytical activities, drafting collective discussion and teaching cases, having eight teachers as participants in a regular public school, located in the municipality of Natal/RN, Brasil. The theoretical reference covers the inclusive education, teaching learning, teachers professional development, the knowledge base for teaching and teaching cases as a resource for continued teachers formation in an inclusive perspective. The results indicated that teaching cases allowed description and analysis of educational practices developed by regular education teachers and adoption of reflective processes about situations reported and on their own pedagogical actuation, achieving indications of changes. It also indicates the contribution of cases for the clarification, systematization and extension of professional knowledge about inclusive education process as well as for involvement by the teachers of the study in a pedagogical thinking process. The lessons learned are related mainly to own role as teachers of regular education, to the role of professional support and specialized institutions faced to school inclusion. The analyses showed the methodological option was suitable to develop a schoolcentric training process, allowing teachers to seek in their actual environment alternatives for construction of a new logic of teaching that encloses diversity. The conclusion is that the cases, while bringing educational situations closer to the reality experienced by teachers in their daily professional role, causes relevant improvement on teachers education, because it offers training in conjunction with the experience and knowledge that teachers already have