Recorte dos produtos educacionais em história no ensino da matemática e em didática da matemática a partir das dissertações e teses defendidas no brasil entre 1990-2010

This work has the main purpose of conducting a survey of educational products present in dissertations and doctoral theses focused on the use of history in mathematics teaching and Didactics of mathematics with a French foundation produced in graduate programs in the strict sense of the Brazil between 1990 and 2010, the areas of Education, Mathematics Education, school of Natural Sciences and Mathematics and related areas, according to the research proposal of Mendes (2010). Our interest was to select the products that present concrete proposals for educational activities that can be used in the classroom of Basic Education and Training of Teachers of Mathematics. The research was implemented through a bibliographic study documents the Bank of dissertations and theses from CAPES, libraries and archives of some Postgraduate programs in the country who focus their studies on the subject object of this research, besides the Brazilian Digital Library Theses and Dissertations (BDBTD). From this survey we selected works that present educational products materialized in blocks of activities based on the use of teaching history of mathematics to the classroom as well as the sequence of activities based on the Teaching of Mathematics. In possession of material, produce a CD-ROM containing the selected activities, in order to help support the work of teachers regarding the use of these activities, as a supplementary material to textbooks in their math classes

Propriedades dos sistemas de numeração: uma sequência didática em uma abordagem histórica

This paper aims to describe the construction and validation of a notebook of activities whose content is a didactic sequence that makes use of the study of ancient numbering systems as compared to the object of our decimal positional numbering system Arabic. This is on the assumption that the comparison with a system different from our own might provide a better understanding of our own numbering system, but also help in the process of arithmetic operations of addition, subtraction and multiplication, since it will force us to think in ways that are not routinely object of our attention. The systems covered in the study were the Egyptian hieroglyphic system of numbering, the numbering system Greek alphabet and Roman numbering system, always compared to our numbering system. The following teachung is presented structured in the form of our activities, so-called exercise set and common tasks around a former same numbering system. In its final stage of preparation, the sequence with the participation of 26 primary school teachers of basic education

Atividades estruturais de equações polinomiais numa abordagem histórica por meio de e-book

The present study investigates how the inter-relationship of the content of polynomial equations works with structured activities and with the history of mathematics through a sequence of activities presented in an e-book, so that the result of this research will proceed will result in a didactic and pedagogic proposal for the teaching of polynomial equations in a historical approach via the reported e-book. Therefore, we have considered in theoretical and methodological assumptions of the History of Mathematics, in structured activities and new technologies with an emphasis on e-book tool. We used as a methodological approach the qualitative research, as our research object adjusts to the objectives of this research mode. As methodological instruments, we used the e-book as a synthesis tool of the sequence of activities to be evaluated, while the questionnaires, semi-structured interviews and participant observation were designed to register and analyze the evaluation made by the research, participants in the structured activities. The processing and analysis of data collected though the questionnaires were organized, classified and quantified in summary tables to facilitate visualization, interpretation, understanding, and analysis of these data. As for participant observation was used to contribute to the qualitative analysis of the quantified data. The interviews were synthetically transcribed and qualitatively analyzed. The analysis ratified our research objectives and contributed to improve, approve and indicate the use of e-book for the teaching of polynomial equations. Thus, we consider that this educational product will bring significant contributions to the teaching of mathematical content, in Basic Education

Obras complementares: um elo entre a leitura e os conteúdos matemáticos

The Federal Government through its Plans and Programs invests in various policies intended to achieve the main goal of the millennium, provide basic education for all. Among them, we highlight in this paper The National Textbook Program, with emphasis on Complementary Works. These works are presented through different genres, such as poems, poetry, short stories, parables, novels, literature, educational materials etc.. providing a range of possible teaching work. However, little is known about the levels of education of teachers as intended. Based on the discussions and studies in this direction, sparked concerns us in the process of teaching and learning in math classes. This made us pay attention to a possibility of study where reading could be included in this process. In this sense, the present study aims at investigating the potential of conceptual and didactic use of Complementary Works on developing the skills of reading and writing mathematics of the first three years of elementary school, and from there, propose a courseware with guidelines for use of these works by teachers of 1st to 3rd year of elementary school. For this, we outline the issues of reading and understanding of mathematical interests as those of our study. In this sense, the proposal was built from the bibliographic works that address the contributions of reading for learning mathematical content, like Machado (2001), Nacarato (2009); Dantas (2011), Smole and Diniz ( 2001). As a result, we created the Guidance for the use of Complementary Works for Teachers to Teach Mathematics with a view to support the practice of teachers and future teachers who teach mathematics. Supported the use of Complementary Works, especially those distributed in public schools by the National Textbook - PNLD and have mathematical content, this guide is intended to present some of the possible use of this feature in math classes. (Education Observatory - Capes / INEP. Ed. 038-2010. TELL Research Group - UFRN - PPGED / PPGEL / PPGECNM - PROPESQ)

A etnomatemática dos trabalhadores das cerâmicas de Russas-Ce e o contexto escolar: delineando recomendações pedagógicas a partir de uma experiência educacional

It is still common among contemporary educational proposals an overemphasis abstraction, to the formalism and symbolism of mathematical knowledge at the expense of the sociocultural aspects of Mathematics. Coming up by questioning some academic mathematical tenets and valuing knowledge developed in different sociocultural contexts within Mathematical Education, the Ethnomatematics is consolidating itself as a research field. Despite its contributions to the educational context, because its philosophical character and the paucity of debates about the subject, the implementation of educational proposals for basic education are scarce. Given this situation, this dissertation comes up with a view to develop an educational intervention in the light of Ethnomathematics in a class of 6th grade of an elementary school from a red ceramic industries workers community, located in a countryside from Russas-CE and from this intervention, to develop a set of pedagogical recommendations aiming basic education teachers. Adopting a perspective of qualitative research, particularly guided by action research, this study used observation, field diary, interviews and activities with students as tools for data collection. It was found that the use of field research as part of teaching and learning favored the placement of students as critical subjects of their own reality . Furthermore, the educational experience culminated in the development of a method of teaching based on a relationship between protocooperational Ethnomatematics and the Resolution of Problems. It is necessary to broaden the debate about the ways in which the Ethnomatematics can contribute to the school context, bringing proposals closer to the reality of basic education teachers in order to help the promotion of an education which values cultural diversity without taking away the students from the access of the academic knowledge

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.

Sujeitos e atores sociais nas representações discursivas de docentes da rede estadual de ensino em Sergipe: uma análise crítica em tempos de Ideb

According to the studies in Applied Linguistics, this thesis is based on an interdisciplinary perspective (Critical Discourse Analysis, Sociology towards Social Change, Cultural Studies and Systemic-Functional Linguistics). The overall objective of the research was to analyze the discourses of Elementary School teachers in the state of Sergipe, by means of the discursive representations of the social actors, the processes of subjectivity and their fragmented identities in the context of standardized evaluations before the requirements of globalized pedagogical practices, based on the result-based management. The critical analysis of such discourses was motivated by the rapid pace with which the demands of innovation become part of the classroom, aiming at reaching the target in what concerns the indexes of the rankings which characterize the globalized discourse of the national education management, like Ideb (Basic Education Development Index), which makes teachers change their discourses, become silent or keep resistant. The work was initially endorsed by the theoretical lines of the Critical Discourse Analysis (FAIRCLOUGH, 2001, 2006), and poses a proposal for such purpose: the ASCD Discourse Sociological and Communicative Approach (PEDROSA, 2012, 2013). This is an interpretative-qualitative study of the Critical Discourse Analysis (FAIRCLOUGH, 2001, 2003; RAMALHO ; RESENDE, 2011) and to carry it out, semi-structured interviews were used as instruments of data generation (BAUER; GASKELL, 2011; GILL, 2011). Its corpus is composed of thirteen accounts of teachers from the Elementary school who teach Portuguese and work in the fifteen schools which were chosen to be the universe of the research at the Regional Board of Education (02) in the state of Sergipe. Such narratives are related to their impressions, expectations and actions which favor the management of results to which they have to submit themselves. The analytical overview of sociological and discursive line comes from the pan-semiotic categories (Inclusion and Exclusion) which appear in the theory of Representation of Social Actors (VAN LEEUWEN, 1997, 2008). To present the processes of subjectivity of these teachers, this work is based on the socio-analytical proposal of the classification of the subjects, which stems from the individual s work in the Gestão Relacional de Si , which comes from the Applied Sociology (towards) Social Change (BAJOIT, 2006, 2009). The discursive analyses were guided word for word, in their majority, by having the Systemic Functional Grammar as their theoretical basis, specifically by the processes of the Transitivity System postulated by Halliday, (1985); Halliday and Mathiessen, (2004); Eggins (2004); Cunha and Souza (2011). The work makes the field of Cultural Studies emerge towards the dialogue and the presentation of the fragmented identities of the teachers in the context of late modernity (GIDDENS, 2002; HALL, 2011). The thesis promoted a reflection over the teacher s condition, who is immerse in this context of knowledge construction of the present Brazilian educational system, the standardized evaluations, the indexes of development, the targets and the rankings. The considerations and outcomes of such a research dealt with the teachers emerging social practices and the need of planned initial and continuing teacher education towards the new moment which is foreseeable

Princípio da Indução Matemática no Ensino Médio

We developed this dissertation aiming its in the process of teaching and learning of the Principle of Mathematical Induction and we set our efforts so that the students of the first year of the high school can assimilate the content having the knowledge seen in the basic education as foreknowledge. With this, we seek to awake in the student the interest on proofs, showing how much it s needed in examples that involve contents that he is already seen

Saberes docentes, alfabetização, respeito à infância: a criança de 6 anos no ensino fundamental

Éste trabajo se inserta en el ámbito de los cambios en la Enseñanza Fundamental (EF) brasileño que, por la Ley Federal n.º 11.114/2005 anticipa el EF para seis años de edad, y de la Ley n.º 11.274/2006 que amplia el mismo nivel de enseñanza de ocho para nueve años Tales cambios tienen sido respaldados por el argumento de la importancia de se anticipar y promover un mayor acceso a la educación y garantizar una permanencia bien sucedida del alumno en la etapa obligatoria de la Educación Básica. La inclusión de los niños de seis años en el EF puede ser considerada una conquista en el ámbito de las políticas públicas brasileñas destinadas a la educación de niños. Sin embargo, la sencilla simples anticipación/ampliación de matrículas en el EF puede constituirse en más una forma de exclusión, si no fueren garantizadas las condiciones necesarias para se ofrecer una educación de calidad que considere las peculiaridades de una práctica pedagógica de alfabetización con niños más jóvenes. Evidentemente, muchos son los factores que pueden influenciar la calidad de la educación y el tratamiento escolar financiamiento, gestión, organización del espacio escolar pero la acción del profesor, en ése sentido, es un factor primordial entre otros determinantes. Así pensando, definimos como objetivo de éste trabajo investigar saberes docentes requeridos de el profesor para el desarollo de una práctica pedagógica que tiene por meta la apropiación de la lengua escrita, por el niño de seis años recién-ingresa en la Enseñanza Fundamental respetando su condición de ser niño . Para tanto, en el ámbito del enfoque cualitativo de la encusta, realizamos un estudio de caso en dos instituciones públicas: Escola Municipal Professora Emilia Ramos y Centro Municipal de Educação Infantil Marise Paiva, ambas ubicadas en la Zona Este en la ciudad de Natal. De la análisis del contenido de los datos, emergió la temática Saberes Docentes para la Alfabetización de Niños de seis años en la Enseñanza Fundamental que, a la vez, cubre dos categorías de saberes, con suyas respectivas subcategorías: Saberes Docentes Transversales a las Práctica Pedagógica de Alfabetización y Saberes Docentes Específicos a la Práctica Pedagógica de Alfabetización. Entre tantos aprendizaje proporcionadas por el estudio, comprendemos que, sea en la Educação Infantil, sea en la Enseñanza Fundamental, el trabajo con el niño no debe constituirse en la negación de su infancia. Sin embargo, en se tratando de el EF, el esfuerzo para no desvirtuar la voluntad política de proporcionar al niño oportunidades de alfabetización debe ser redoblado, una vez que ésa etapa de la educación podrá ser la marca de un rico y agradable proceso de alfabetización, como puede ser motivo para que el niño se torne desinteresado y acobardado para aprender a leer y a escribir, si no fueren respetadas las necesidades y especificidades propias de ése momento de su desarollo. El estudio también ratificó nuestra comprensión de que la Alfabetización es un proceso peculiar, no constituyéndose, por lo tanto, en tarea simple para el docente, ni tampoco para el niño, visto que la lengua escrita, por si misma, ya es un objeto de estudio bastante complejo. Comprendemos, sin embargo, que esa complejidad no puede tornarse obstáculo para que, también en la escuela pública, ya a los seis años, se permita al niño un trabajo de calidad que tiene por meta su alfabetización, hasta porque, mientras participantes de una sociedad letrada, antes de ingresar a la escuela, los niños ya construyeran concepciones previas sobre la lectura y la escrita, a las cuales el profesor debe estar muy atento

Função Afifim: Teoria e aplicações

In this work we present a proposal to contribute to the teaching and learning of affine function in the first year of high school having as prerequisite mathematical knowledge of basic education. The proposal focuses on some properties, special cases and applications of affine functions in order to show the importance of the demonstrations while awaken student interest by showing how this function is important to solve everyday problems

Uma justificava da validade do teorema fundamental da álgebra para o ensino médio

Among several theorems which are taught in basic education some of them can be proved in the classroom and others do not, because the degree of difficulty of its formal proof. A classic example is the Fundamental Theorem of Algebra which is not proved, it is necessary higher-level knowledge in mathematics. In this paper, we justify the validity of this theorem intuitively using the software Geogebra. And, based on [2] we will present a clear formal proof of this theorem that is addressed to school teachers and undergraduate students in mathematics

A geografia no currículo do ensino médio e no vestibular da UFRN: 2001-2007

This work examines the results of the selecting process to enter Universidade Federal do Rio Grande do Norte called Vestibular, in 2001, 2003, 2005 and 2007, in relation to the necessary knowledge presented by the candidates in the Geography area. It observes the contents in the discursive exams and its corresponding results discussing them from the official curriculum of the Secondary School, as it is stated in the official documents of Ministério da Educação(MEC): Parâmetros Curriculares Nacionais do Ensino Médio (PCNEM), Orientações Curriculares Nacionais para o Ensino Médio (OCNEM) e Orientações Educacionais Complementares aos Parâmetros Curriculares Nacionais (PCN+ do Ensino Médio). We aim to highlight what are the contents and background of the Geography curriculum according to the orientations of the official curriculum; discuss in what measure these contents are present in the questions and in the correct answers of the candidates as well as reflect upon what possibly is suggested by those results concerning the knowledge presented in the answers. In this investigation process, the history of the teaching in Brazil is taken up together with the statistical data about the Fundamental School and about Higher Education in the last years. Both map the scenario in which this research takes place as well as make knowledgeable some variables such as: cultural, economical, political and social structures. The discussion takes place between the curriculum and the teaching, Geography teaching and Secondary School in Brazil articulating these variables with the question of accessibility to Higher Education through the Vestibular . Despite the limitations of this research in terms of methodology and deepening of analysis, the results led us to important observations which can contribute to the understanding of that the students´ performance in the Geography examination has several outspreads. These must be thought with scientific exactness in order to avoid any rushed and careless explanations leading to conclusions that may have serious consequences for the teaching systems and the students

Uma análise do ensino de Geografia utilizando as representações cartográficas no 2º ciclo nas escolas públicas de Natal - RN

Análisis de Ensino de la geografía usando las representaciones cartográficas en el ciclo 2º en las escuelas públicas de Navidad - RN, en la vista de la relación teo'rico-pra'ctica dividida en dos, en cuanto a la aplicabilidad verdadera de estos recursos en la educación de la geografía. Este análisis entiende una revisión bibliográfica, a la luz de teorías y de conceptos en el proceso de la educación y de aprender de la geografía y el uso de los recursos de los geocartográficos el largo de historia. El objetivo para caracterizar pertenecer al espacio de la escuela, a la escuela en la comunidad, a la educación de la geografía y al uso de los recursos cartográficos, la importancia de los recursos didácticos como ayudas de los metodológicos en la educación de la geografía, la dirección de señalar soluciones para mejorar las lecciones en Ensino básico, y comtemplaba preguntas primordiales relativas a los profesores prácticos; para la comprensión, mientras que profesional de la educación, la lucha para la valuación de la enseñanza y la educación pública; para la importancia social de la mejora de la formación de profesores de la educación básica, en el ejercicio completo de las actividades de enseñanza, y para el acceso a las fuentes y a los espacios de la investigación donde ejercemos la función del profesor del formador en el Instituto de Educación Superior Presidente Kennedy IFESP

Ensino Fundamental de 9 anos: estamos preparados para implantá-lo?

A revisão da história do desenvolvimento da educação brasileira ao longo do séc. XX permite-nos observar que grande parte das alternativas implantadas com o intuito de resolver os problemas de democratização, acesso e permanência do aluno em uma escola de qualidade foram suplantadas por políticas de caráter econômico e financeiro que acabavam preterindo os aspectos pedagógicos. Com base nesta constatação, entendemos que a atual proposição de ampliação do Ensino Fundamental de 8 para 9 anos representa uma nova oportunidade para a revisão deste procedimento histórico no âmbito da sociedade brasileira. Tendo em vista que o prazo proposto para adequação de todas as escolas à lei é 2010, realizou-se uma investigação junto a 2 (dois) Núcleos Regionais de Ensino, 8 (oito) Secretarias Municipais de Educação e 12 (doze) escolas vinculadas a estes órgãos, localizadas em diferentes cidades e regiões do estado do Paraná-Brasil, com o objetivo de investigar como a referida proposta chegou às escolas, bem como de que forma as mesmas estão se preparando para este processo. Para tanto, foram realizadas entrevistas junto a representantes dos núcleos e secretarias e também, junto aos diretores e professores das escolas. Pode-se constatar que muito pouco se sabe acerca da proposta de Implantação do Ensino Fundamental de 9 anos e que pairam muitas dúvidas e preocupações sobre se a proposta não consiste somente em mais uma mudança política e estrutural, se não significa, apenas, uma antecipação da alfabetização que poderá prejudicar as crianças. Assim sendo, parece ficar evidente a precocidade da implantação de forma ampla e generalizada, antes que sejam garantidas as condições de preparação das respectivas escolas e professores.

Oferta educativa e responsabilização no PDE: o Plano de Ações Articuladas

O artigo analisa perspectivas de responsabilização presentes no Plano de Desenvolvimento da Educação apresentado à sociedade brasileira em 2007 pelo Ministério da Educação. O plano, composto por programas e ações com o objetivo declarado de promover a melhoria da qualidade da educação básica brasileira, é, entre outras medidas, operacionalizado pelo Plano de Metas Compromisso Todos pela Educação, discutido neste trabalho a partir de um de seus aspectos: o estabelecimento de convênios entre os municípios e a União, por meio da elaboração local de um Plano de Ações Articuladas. Por esse instrumento, os gestores municipais se comprometem a promover um conjunto de ações no campo educacional, responsabilizando-se pelo alcance das metas estabelecidas pelo âmbito federal. em contrapartida, passam a contar com transferências voluntárias e assessoria técnica da União. Considera-se, na análise, o contexto de reforma do Estado e das políticas de descentralização na oferta educacional.