Geometria e simetria nas rendas de bilro: contribuições para matemática escolar

A tese tem como objetivo descrever e analisar características e princípios dos padrões das rendas de bilro de modo a estabelecer relações com a Matemática escolar, principalmente, no que se refere aos tópicos como Geometria, simetria, isometria, área, perímetro, entre outros. Desse modo, elaboramos atividades didáticas, com base na Matemática explorada nos padrões da criação da renda de bilro, visando concretizar um exercício investigatório nas aulas de Matemática, de modo que, sejam estabelecidas relações conceituais entre a prática investigada e os conteúdos da Matemática escolar. Para satisfazer esses objetivos, buscamos apoio metodológico na pesquisa bibliográfica, do tipo documental em catálogos como o da Professora Valdelice Girão (1984) e também o de Dawson (1984). Realizamos também a pesquisa empírica durante as visitas ao Museu do Ceará e ao Centro das Rendeiras na Prainha, em Aquiraz, no Ceará. Para realizar as atividades didáticas, apoiamo-nos em Mendes (2009). Consideramos relevante essa abordagem de ensino porque pressupõe a experiência direta do aprendiz com situações reais vivenciadas, nas quais a abordagem instrucional é centrada no aluno. Desse modo, concluímos que para o ensino de conteúdos como Geometria, simetria, isometria, relação entre perímetro e área, entre outros que são abordados na Educação Básica, os modelos decorrentes da criação renda de bilro e outros modelos já descritos na tradição cearense podem ser usados como artefato cultural na criação de atividades didáticas

Formação da habilidade de interpretar gráficos cartesianos em licenciandos em química segundo a teoria de P. Ya. Galperin

It has been remarkable among the Science Teaching debates the necessity that students do not learn only theories, laws and concepts, but also develop skills which allows them to act towards a critical citizenship. Therefore, some of the skills for the natural sciences learning must be taught consciously, intentionally and in a planned way, as component of a basic competence. Studies of the last twenty years have shown that students and teachers have plenty of difficulties about skills development and, among several, the skill of interpreting Cartesian graphics, essential for the comprehension of Natural Science. In that sense, the development of that type of professional knowledge during the initial education of future Chemistry teachers has become strategic, not only because they need to know how to use it, but also because they need to know how to teach it. This research has as its general objective the organization, development and study of a process of formation of the skill of interpreting Cartesian graphics as part of the teachers professional knowledge. It has been accomplished through a formative experience with six undergraduate students of the Teaching Degree Course of Chemistry of Universidade Federal do Rio Grande do Norte (UFRN Federal University of Rio Grande do Norte), in Brazil. In order to develop that skill, we have used as reference P. Ya. Galperin s Theory of the Stepwise Formation of Mental Actions and Concepts and its following qualitative indicators: action form, degree of generalization, degree of consciousness, degree of independence and degree of solidness. The research, in a qualitative approach, has prioritized as instruments of data collecting the registering of the activities of the undergraduate students, the observation, the questionnaire and the diagnosis tests. At the first moment, a teaching framework has been planned for the development of the skill of interpreting Cartesian graphics based on the presupposed conceptions and steps of Galperin s Theory. At the second moment, the referred framework has been applied and the process of the skill formation has been studied. The results have shown the possibility of develop the skill conscious about the invariant operation system, with a high degree of generalization and internalized the operational invariant in the mental plane. The students have attested the contributions at that type of formative experience. The research reveals the importance of going deeper about the teaching comprehension of the individualities tied to the process of internalization, according to Galperin s Theory, when the update of abilities as part of the teaching professional knowledge is the issue

Dançando com gatos e passáros: O movimento ecossistêmico da ludopoiese na educação infantil

This study shows the movement of educators ludopoiese ecosystem of the Center for Early Childhood Education Marise Paiva-CEIMAP. We used the metaphorof dance as an opportunity to stimulate scientific creativity. Ecosystem Thought, complex thinking, the theory of autopoiesis and Flow Theory, constituted the main theoretical steps to understand the phenomenon of ludopoiese, from the look of your totalidadem with the following objectives: 1 - Identify and interpret the process of self ludopoiética CEIMAP of Early Childhood Educators in the actions of the play, care for and educate in school life; 2 - Analyze Ecosystem Thought from ludopoiéticos how these processes affect and / or possible changes and transformations in practice humanescenteseducational CEIMAP. The theoretical metodógicos steps to address the proposed objectives are grounded in existential action research part of the appreciation of the complexity of the real, considering the human being a whole dynamic. In this sense the game of sand, recreational experiences, the systematic studies and video training were explored with a view to the transdisciplinary relevance of everyday phenomena. New knowledge acquired in accordance with the directions given indicating the movement of the ecosystem studied ludopoiese educators, involved in four main streams: love, play, care for and raise it from love streamline interdependently. The ludopoiese eachteacher would then be fed by this web generated by love that permeates all other educational activities, nurturing and maintaining a constant creative self-organization of knowledge and know-how to be teachers. Thus, every network that generates andstream lines the system emerges ludopoiético biology of love, the open dialogue and playing in the wishing well to the student, the aesthetic beauty of caring and educating, as a human conditionand relevant as possible to live / live not only in teaching children, but in other educational contexts of teaching and teacher education

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

Pensando e agindo: estudo da relação entre o dsenvolvimento do pensamento e prática pedagógica

Este trabajo, intitulado pensando y actuando: estudio da le relación entre el desarrollo del pensamiento y la práctica pedagógica del profesor, tiene como objetivo investigar la relación entre el desarrollo del pensamiento teórico y la práctica pedagógica de una profesora de la educación pre primaria que actúa en una escuela pública de Natal / RN, con niños de edades variables de cuatro a cinco años. En términos específicos, pretendemos propiciar la continuidad de un proceso de formación que le permita elaborar el significado de los conceptos que componen los conocimientos curriculares, específicamente, el concepto de familia; tener el dominio de los procesos y procedimientos lógicos inherentes al desarrollo del pensamiento y la formación del concepto; mediar de forma consciente y planeada las etapas necesarias para que se efectiven los procesos de elaboración conceptual propicios al desarrollo del pensamiento. Para desencadenar el proceso investigativo, utilizamos los principios del materialismo histórico-dialéctico mientras que para el método de análisis, porque comprendemos que, a través de esta lógica, es que podremos buscar los elementos que darán sustentación a una mediación pedagógica que permita mayor eficacia en la comprensión de los fenómenos. Recurriremos a la investigación colaborativa, una vez que era nuestra intención desarrollar una acción investigativa compartida, teniendo en vista buscar medios para resolver los problemas de la práctica pedagógica. La investigación colaborativa posibilita al sujeto participante reflexionar, ser investigador, coadjutor-constructor de su práctica. Así, algunos procedimientos metodológicos fueron considerados adecuados para que pudiéramos alcanzar los resultados deseados, como Reuniones, Planeamientos, Ciclos de Estudios Reflexivos, Observación Colaborativa, y Sesiones Reflexivas. Utilizamos la metodología conceptual de Ferreira (2009) como soporte para el análisis del concepto de familia elaborado. Para hacer el análisis de ese proceso nos utilizamos de las teorizaciones de Vigotski (2009, 1998), Rubinstein (, Liublinskaia, Ferreira, Freire, entre otros. Podemos decir que, en la perspectiva de la colaboración, la reflexión sobre la práctica puede desencadenar una nueva visión del profesor sobre su práctica pedagógica y el desarrollo del pensamiento de su alumno. Los resultados obtenidos nos muestran que este fue un trabajo bien sucedido en el sentido de que percibimos una relación estrecha entre lo que la profesora realizó y los aprendizajes adquiridos por los alumnos. El sentido que la participante da a su hacer posibilitó la abertura de caminos para el desarrollo del pensamiento, a partir del trabajo con la metodología conceptual, revelando la conciencia del significado de su acción, y dialogando con las necesidades del alumno y trabajando las. Destacamos la importancia de la colaboración y del proceso reflexivo para la formación y la práctica del profesional profesor y los aprendizajes adquiridos con relación al reflexionar crítico y colaborativamente, en la argumentación y en la reformulación de nuestras ideas. Afirmamos que lo que realizamos es apenas el comienzo de nuevos caminos que surgirán por la necesidad que tenemos de busca, de descubiertas, y por las ganas de desarrollar acciones productivas, propicias de condiciones para la expansión de la formación profesional y de la práctica pedagógica del profesor. Las conclusiones a que llegamos están lejos de que se acaben, ya que es un tema complejo, que puede posibilitar el surgimiento de nuevos estudios, de nuevas investigaciones, de nuevos conocimientos

Vozes não silenciadas de alfabetizandos jovens e adultos e suas repercussões na formação docente

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Avaliar na alfabetização: uma reflexão sobre as dificuldades docentes

Our work leads up to the context of evaluation during alphabetization process as a moment of an educational action cycle that requires planning, teaching and learning of reading and writing. It aimed to research the difficulties lived by teachers of a public elementary school during the specific task of evaluating children in the alphabetization process. This qualitative research took place as a case study at Emília Ramos Municipal School, in Natal, capital city of Rio Grande do Norte State, Brazil. Semi-structured interview and questionnaire were used as fact-gathering proceedings. Two pedagogical advisers and seven teachers formed the group of research subjects. All of them worked with elementary school first cycle classes, in that school, in the year of 2003. The analysis shows that teachers difficulties concern to theoretic questions of conceptual and methodological orders, although these questions indicate an important knowledge of teachers about alphabetization and evaluation. Our reflection about these problems articulates two points: alphabetization and evaluation. Concerning alphabetization, we took reference on Psychogenetic studies of Ferreiro and Teberosky (1985) which emphasizes fundamental points for a coherent evaluation practice: a) objective knowledge is not a beginning data; it is a construction process, which the learner does not conquest step by step on a linear way; b) objective knowledge acquisition happens through a global re-construction, and some of them may seem mistakes if we consider conventional writing but these mistakes are constructive and necessary. We also took reference on Interactionist-constructivist theory. Here, Vygotsky (1984) proposes that writing must be specially understood as language, symbolical activity, cultural practice. So, acquisition of writing process, as language learning, must be understood as a development of abilities relative to symbolical and communicative activity of sense production. On this way, Hoffmann (1994) advises that is necessary to overtake current evaluation practices, limited by their terminality character, only pointing right or wrong questions. According to a new paradigm, valuation appears as one of the mediations by which teachers must indicate re-ordination of pupil s knowledge, and re-organize their own practices too. The comprehensions of these questions plays decisive part in order to overtake our difficulties in evaluating. Besides, it points a way to build a coherent valuate practice, with an emancipating character and able to create new teaching-and-learning situations, leading to a better alphabetization Pedagogy

PLANFOR: política compensatória para a inclusão na informalidade?

Study about the national politics on the professional education, under responsibility of the brazilian Work Department in 1990 years. Purposes to apprehend the results of the actions of the professional education in a basic level, offered by the National Plan of the worker qualification ( PLANFOR ), as well as the effects on the assisted exits, starting from the experience appreciated on the Plan of Qualification developed in the state of Maranhão between 1996 to 2000. It adopts a theoretical-methodological conception by an ontological nature, if being worth of categories as the one of totality and of mediation that together, makes possible the apprehension of a dialectical movement that happens among the analysis object, the professional education politics in a basic level, performed by PLANFOR and your context, the underdevelop and heterogeneous Brazilian capitalism and the consequent job market generalized precarious and informal, making possible that the reality investigated become to understood rationally. This paper uses the indirect documentation technique, instruments of the bibliographical research and documental research. This study is based on those that aren´t part of PLANFOR, qualified by professional education courses in basic level,they didn't get to be inserts at the formal job market, just occupying precarious occupations in the informal job market. Aims to presents and discusses the productive process and your restructuring globally in progress. It focuses at the impacts on the workers, the precariousness of the work that appears like a new phenomenon calls new informality. Talks about the particularity process of productive restructuring assumed in Brazil highlights, showing that the informality, was always a structural phenomenon in the country. Discusses about the professional qualification in the contemporary capitalism, specifying some of your theses. Shows in a historical view the process of appearance of the employment notions and competence, and the influence that it exercised on the reforms of the basic and professional education, as well as the implications of both in the politics of professional education in the country. Rescues the process of creation of PLANFOR, your official formulations and your organized bases, starting from the second half of the 1990 decade. Shows yet the continuos changes in the job market of Maranhão state, for after, starting from the reports expresses at the Plans of Qualification from the state, elaborated by the Group of Evaluation and Studies of the Poverty and the Politics addressed to the poverty from the Master degree Program in Public Politics, from the Federal University of Maranhão, analyzing the acting of PLANFOR in the State, your probable deficiencies, as results the changes verified in the conditions of occupation and the gains of the exits from the professional education courses in basic level

Corpo e beleza: uma análise das produções da educação física, em nível de mestrado

Talking about body and beauty seems fairly familiar to physical education. We understand that the body language in the area provides many meanings over the appearance, beauty and aesthetics, thus requiring the need of criticism and the need to interrogate her to realize how physical education has been re-signified. For this purpose, considering the multiplicity of meanings that surround the body and beauty, we discussed the implications that this brings to the area of Physical Education, analyzing the conception of body and beauty in the studies in this area, at the masters level, from some questions: What conceptions of body and beauty have been discussed in the studies of physical education at the masters level? What is the relationship between the meanings of body and beauty products analyzed and identified in the models of beauty outlined in Physical Education? We understand the importance of this research and its contribution to the epistemological analysis of existing studies. And, mainly because there is a lack of studies that discuss these productions. For construction of this text and for our reflections, we rely on thoughts like David Le Breton, Claude Levi- Strauss, Michel Foucault, Maurice Merleau-Ponty, Ana Marcia Silva, Carmen Smith, Isabel Mendes, Karenin Porpino Nobrega and flounder. The present study is characterized as a qualitative research, and content analysis proposed by Laurence Bardin (1977) for data processing. The corpus was composed of eight essays in the area of Physical Education, published in the CAPES Theses Database for the period 2004 to 2008, selected from the subject and body beauty. The initial reading allowed us to select meaningful units and guide our discussions on two main themes, which make up the two chapters of the work. In the first chapter, entitled Body, beauty and culture, as evidenced understandings of body, nature and culture that are present in the work is considered. In the second chapter, Standard Body Transformations and beauty, we present the concepts of body and beauty found in the dissertation, focusing on the mutability of representations of the models of beauty in body singularities in the relations of power-knowledge and the importance given the body in society, especially with regard to physical education professionals. We have thus found that, considering the dissertations analyzed, the understanding of body and beauty has been resignified, when dealing with other aesthetic conceptions that consider the uniqueness expressed in the human body and the culture of which the individual belongs

Representações Sociais do ser idoso e suas implicações na assistência e nas práticas educativas voltadas à população idosa residente em Natal/RN

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Concepões e práticas pedagógicas de professoras da educação infantil na inclusão de alunos com deficiência

This research focuses on inclusive in childhood education. Its purpose was to investigate and analyze the conceptions and expectations of teachers of childhood education, childhood education center form Natal/RN, on the inclusion students with disabilities, school and pedagogical practices developed and implications for students learning. Theoric base of the cultural historic perspective, the search took by qualitative analysis of numbers form the case study method. It was used methodological procedures: documentary analysis, participant observation, field journal and semi structures interview.Three teachers participated in the survey of that school had student with disabilities in their classrooms. These teachers were called: Rapunzel, Snow white e Pretty. The teacher s nouns involved the refered kind of education. The data obtained from the observation indicated the regular school of childhood education provides educational practices that promote the participation and participation and development of students with disabilities, live situation that may create barriers to learning and to the development of these children. The analysing data of interview from Bardin content analysis (1994) was based in Cunha s studies (2001) Brun (2006, 2008), Mantoam (2006, 2008), Palacios, Paniagua (2007), among others. The dada showed that correlation and divergence of perceptions and expectations about the issues surrounding inclusion in childhood education. The results shaved that teaching strategies, affective ties, sensitivity and own routine of childhood education are factors that can promote inclusive proposal, but also needs a greater fulfillment individual differences of each child in order to their potentiality. The study also shaved that the negative of pedagogic support to teacher, the ignorance of them as guidelines and strategies that include the student s diversity, the importance having positive conceptions about the learning and development of student with severe learning disabilities and the need for a pedagogic training and of a collective work at school which everybody collaborates : parents, direction, coordination getting inclusive school. Believe that this study pointed relevant issues to be focus new research, since the theme is still lacking in study, therefore emphasize, the importance of conducting research that continuous this job

Política de formação docente na América Latina :Argentina, Brasil e Chile

This work aims at studying the policies of teaching training and their impact in the actors and in the education systems of the countries in which these policies were implemented into the context of neoliberal reforms. We particularly studied these policies in three Latin America countries: Argentina, Brazil and Chile. The policies studied here are the ones implemented from the 90 s. However, the horizon of this study is at the beginning of the 80 s, period that starts one of the four intervention initiatives of education here studied: The Main Project of Education For Latin America and Caribbean (PROMEDLAC), which in 2002 goes into a new stage and it is called Regional Project of Education for Latin America and Caribbean (PRELAC), worked out by UNESCO as a request of government representatives of countries of the region, based on the suggestions of Declaration of Mexico , signed by them in 1979. These suggestions will be in the base of the other three initiatives: The Education For All (EPT); Ibero-American Conferences of Education (CIE) and The Hemisphere Action Plan of Education (PAHE), whose documents are the base to the production of an abundant legislation and normatization on education that created the parameters on which the policies of education reforms were worked out and implemented and the dynamism of our education systems from the last two decades of the twentieth century on. All these initiatives intend to work with objectives, projects and programs that, in some cases, in isolation or in groups, are under influence of their actions in a way that frequently it is difficult to identify which of them is the main responsible for some advances. It is important to stand out that not all of the suggestions produced by these initiatives were implemented as policies, and many of them to be implemented were changed in such a way that they were distorted, even they were a result of a multilateral deal, each country gave to them its own interpretation. Moreover, in all these processes the teaching entities had and keep having a fundamental role. The evidences, result of the evaluations of each initiative, show that education policies implemented produced advances in several aspects. They are still not the ideal ones, in truth, but they do exist. In relation to the teaching questions, there were and are still being implemented multiples and varied actions that did not have the expected impact in the education systems of the countries, objects of this study, but, many of them that go on, are promising and start to have a positive impact into the education systems. Even so, the teaching subject matter, even playing a central role in the agenda of all countries of the region, still represents one of the big challenges to the advance and improvement of our education systems

Lagoa do Piató: a educação como uma obra de arte

A partir de una concepción de la educación como una obra de arte, la disertación revela los estudios realizados en una escuela de la comunidad de Areia Branca Piató, en la Laguna de Piató en Assú, Estado de Rio Grande do Norte. Como una forma de hacer dialogar conocimientos científicos y saberes tradicionales, la investigación establece el intercambio de saberes y afectos sobre todo por intermedio del intelectual de la tradición Francisco Lucas da Silva. Para construir un conocimiento pertinente (Edgar Morin), el que forma parte de un contexto, buscamos aquí la comprensión de una pedagogía viva e imaginativa. La disertación encontró en la Laguna un laboratorio vivo para pensar en una enseñanza educativa y para ejercer el pensamiento complejo. A partir de estudios e investigaciones anteriores, pude organizar lo que considero que se constituye como constelaciones de saberes que permiten dar continuidad a ese eje de investigación que empezó desde 1986 en el Grupo de Estudios de la Complejidad GRECOM. En la construcción de este trabajo, pude aprender valores que creo que son importantes para una educación compleja: la humildad delante de la vida; la abertura para diferentes lenguajes del mundo; el diálogo con la naturaleza; la apuesta en nuestras creencias; el sueño de resignificar a la realidad a partir del lazo entre la profundidad de nuestro ser y el mundo; el uso pleno de nuestras potencialidades imaginativas y creativas; y, finalmente, la vivencia intensa de los sentidos. Partiendo de ese aprendizaje, la investigación teórico‐práctica tuvo como elemento central el desarrollo de talleres sobre el tema del agua con alumnos de la enseñanza básicas de diversas series, y con la participación activa de dos profesoras de la comunidad de Areia Branca Piató. Fueron llevadas adelante experiencias que contemplaron una visión sistémica de la naturaleza, las fotografías, los atelieres, las clases de campo, el arte de educar, la narración de historias y sobre todo las enseñanzas del intelectual de la tradición Francisco Lucas da Silva

O brincar e a criança com deficiência física na educação infantil : o que pensam as crianças e suas professoras

The present study had the purpose of examining the disabled children s way of playing on everyday situations in the CMEIs (acronym in Portuguese for City s Early Childhood Education Center ) of Natal/RN, by watching and listening to three children and their teachers, trying to understand how the games existent in these contexts involve the different subjects of the learning process, and which contributions emerge for a valuable pedagogic work, capable of providing the children s inclusion in the Early Childhood Education. This qualitative investigation was built as a case study, collecting data through watching and interviews. Throughout the observations, it was indispensable to look into the different contexts of the school routine, to capture and analyze events that could answer to what was being studied. The accessibility conditions of the school spaces were also observed. The interviews made possible to extract from the subjects what they think and how they perceive themselves when playing. The acquired data were analyzed having as counterparts contemporary studies and theories about playing, childhood and school inclusion, and published documents from the Education and Culture Department that treat of this theme as the guiding axis of the pedagogic proposes aimed to the Early Childhood Education. The revelations of the research show that is necessary to put effort on the disabled children s playing inside the context of the Early Childhood Education, regarding the accomplishment of accessibility laws that treat of school spaces and providing of equipment and resources that respect those children s characteristics, as well as providing opportunities for initial and continued training for the teachers, under the perspective of inclusive education and playing

Os jogos com regras na perspectiva do desenho universal: contribuições à educação matemática inclusiva

To think about a school that is for everyone has been a challenge for many people connected to education worldwide demanding from researchers of each level of knowledge an association to such effort. The study presented on this paper unites itself to the voices, movements and researches of these scholars, seeking to contribute on building possibilities on which mathematics can be thought and worked on schools in order for every student to learn, whether they have some sort of deficiency, disorders, syndromes or not. This essay has the goal to investigate the possibilities of inclusive pedagogical practices mediated by math games with rules, developed and used throughout the Universal Design perspective; a qualitative research took place with a collaborative methodology that involved managers, teachers and students from a public school situated on the city of Natal/Brazil. On the investigation math games with rules were developed and made according to the Universal Design concept, starting from initial studies which articulated theoretical groundings to the reality of school and the teacher s conceptions. After that, classes using these tools were planned collectively which oriented inclusive pedagogical practices of classes from the 1st to the 4th year of elementary school. Throughout the process many instruments such as: tape recording, video footages, notes from the researcher; the teachers and the students were used for constant work evaluation and also to record the research data. In the end, the data indicated effective contributions of the mediated pedagogical practices by games with rules under the perspective of Universal Design for Inclusive Mathematics Education