Pedagogia etnomatemática : ações e reflexões em matemática do Ensino Fundamental com um grupo sócio cultural específico

mongst the trends in Mathematics Education, which have as their object a more significant and criticallearning, is the Ethnomathematics. This field of knowledge, still very recent amongst us, besides analyzing an externalist history of the sciences in a search for a relationship between the development of the scientific disciplines and the socio-cultural context, goes beyond this externalism, for it also approaches the intimate relationships betwe_n cognition and culture. In fact, the Ethnomathematics proposes an alternative epistemological approach associated with a wider historiography. It struggles to understand the reality and come to the pedagogical action by means of a cognitive approach with strong cultural basis. But the difficulty of inserting the Ethnomathematics into the educational context is met by resistance from some mathematics educators who seem indifferent to the influence of the culture on the understanding of the mathematics ideas. It was with such concerns in mind that I started this paper that had as object to develop a curricular reorientation pedagogical proposal in mathematics education, at the levei of the 5th grade of the Ensino Fundamental (Elementary School), built from the mathematical knowledge of a vegetable farmers community, 30 km away from the center of Natal/RN, but in accordance with the teaching dimensions of mathematics of the 1 st and 2nd cycles proposed by the Parâmetros Curriculares Nacionais - PCN: Numbers and Operations, Space and Form, Units and Measures, and Information Treatment. To achieve that, I developed pedagogical activities from the mathematical concepts of the vegetable farmers of that community, explained in my dissertation research in the period 2000 through 2002. The pedagogical process was developed from August through Oecember 2007 with 24 students of the 5th Grade of the Ensino Fundamental (Elementary School) of the school of that community. The qualitative analysis of the data was conducted taking into account three categories of students: one made up of students that helped their parents in the work with vegetables. Another one by students whose parents and relatives worked with vegetables, though they did not participate directly of this working process and one third category of students that never worked with vegetables, not to mention their parents, but lived adjacent to that community. From the analyses and results of the data gathered by these three distinct categories of students, I concluded that those students that assisted their parents with the daily work with vegetables solved the problem-situations with understanding, and, sometimes, with enriching contributions to the proposed problems. The other categories of students, in spite of the various field researches to the gardens of that community, before and during the pedagogical activities, did not show the same results as those students/vegetable farmers, but showed interest and motivation in ali activities of the pedagogical process in that period

A (re)significação conceptual nas práticas colaborativas com professores do Ensino Fundamental

The work objectified to apprehend the degree of the teachers' concept concerning the territory concept and to intervene with situations of critical reflections to accompany and to analyze the process of conceptual elaboration. It contemplates on the (new)meaning of knowledge and (new)elaboration of the concept in study done inside a pedagogic intervention. The Municipal School Dr. Julio Senna - Ceará-Mirim/RN and six (6) teacher-collaborators that taught in the 3rd and 4th grades of the fundamental teaching, constitutes the empiric field of the research. Its theoretical-methodological contributions are built in the studies of Vigotski (2000a, 2000b and 2001) on the formation process and development of concepts; in the methodology colaborate (Ibiapina (2004), Bartomé (1986), Kemmis and Mctaggart (1988), Arnal, Del Ricon and Latorre (1992), Pepper and Ghedin (2002), among others) and in the critical-reflexive conception of the Geography (Soares Júnior (2000 and 1994), Silva (1998), Raffestin (1993), Santos (1994), Felipe (1998), among others). The accomplishment of the work presupposed starting from the reflections on the following subjects: which the teachers' understanding in the school space concerning the territory concept? How does happen the process of conceptual construction territory for the teachers? The analysis of the teachers' previous knowledge on the concept in study, evidenced that its apprehensions on the attributes of the referred concept went mentioned the to light of the perceptible dimension of the real-concrete relationships of the reality linked to the degree of the spontaneous concepts and followed by the ideas of the traditional, humanistic and cultural geographical conceptions (positivism and phenomenology), restricting the territory meaning the notion of State-Nation and place of the men's dwelling. In the intervention process, it was verified to real possibility of the acquisition of indispensable scientific concepts to the process of (new)meaning conceptual of geographical knowledge through the continuous practice of the educational formation, when it was evidenced that the teacher-collaborators acquired high degrees of attributions of the significance of the territory concept to the they elaborate generalizations by means of analyses and syntheses of the concept-attribute (essential and multiples) of the reference conceptual in study

O livro didático de história: um caleidoscópio de escolhas e usos no cotidiano escolar (Ceará, 2007 2009)

In the first decade of the XXI century, it is possible to assert that school textbook is part of the material culture of most public Brazilian schools by means of National School Textbook Program (PNLD). This research aimed at identifying and analyzing textbooks choice in Ceara, relating it to the uses of such tool within school daily life. The setting for the study was four public schools, two of them placed in Fortaleza, and the other in Quixada. It evaluated the uses of textbooks in the 6th grade. As part of methodology, public managers were interviewed, teachers answered surveys, and a direct observation during History classes in 2008 school year was carried out. The observation was over after round chats with students in the class, in which each one designed draws and sentences concerning to the textbook. Furthermore, the study was based on MEC official documents that regulate the textbook choice process with National textbook Program announcement (PNDL/2008) and PNDL/2008 Textbook Guide, in addition to History textbooks schools used. Roger Chartier‟s concept of appropriation was an analysis category, as well as Michael de Certeau s strategy and tatics‟, and Dominique Julia‟s concept of school culture . The study recognizes textbook in the perspective of Alain Choppin and Egil Borre Johnsen, since it is a complex cultural object. For this reason, the study designs an analogy with a kaleidoscope that sends different images depending on who uses it, within a set of colorful lines, since textbook comprehends nowadays different sources and languages, as it offers countless possibilities of use in teaching History. The study concludes that only the main text of each chapter is really worked in daily class practice. Therefore, although theoretical and graphic changes in textbook production, the textbook is underused, which is central to a later rethought of teachers instruction, since, depending on the conception of teaching and learning, textbook potentialities will be used to improve the development of knowledge in History.

Teorias implícitas dsos estudantes de Pedagogia sobre a docência nos anos iniciais do ensino fundamental

Esta tesis (desarrollada en la Base de Pesquisa, Formação e Profissionalização Docente da UFRN) concentra su ámbito de interés en el problema de la formación, de la profesionalización del pensamiento del profesor, buscando investigar las Teorías Implícitas de los estudiantes del Curso de Pedagogía sobre la docencia en los años iniciales de la Enseñanza Fundamental. La emergente necesidad de términos acceso a las Teorías Implícitas de estudiantes de Pedagogía (futuros profesores) sobre la docencia en los años iniciales de la Enseñanza Fundamental, a través de un instrumento de pesquisa que posibilite su aplicación en varios contextos formativos para contribuir con su proceso de profesionalización docente, constituye el problema analizado. La pesquisa tiene como objetivo elaborar un instrumento investigativo para estudiar las Teorías Implícitas de los profesores sobre la docencia en los años iniciales de la Enseñaza Fundamental. La complejidad del estudio nos ha llevado a integrar diferentes procedimientos metodológicos, según orientación del paradigma sociocultural, tales como: estudios exploratorios, a través de la revisión bibliográfica de la literatura especializada y técnica de trabajo creativo en grupo; técnicas normativas y psicométricas. A través de los estudios exploratorios identificamos y configuramos tres teorías profesionales de la docencia en los años iniciales de la Enseñanza Fundamental, las cuales presentan una importante relación con el Estado: la docencia como actividad laica, la docencia como actividad técnica y la docencia como actividad profesional. Para la configuración de la teorías, definimos siete subdominios estructurales de la docencia: función docente, concepción de aluno, contenidos de enseñanza, gestión de aula de clase, proceso formativo, condiciones de trabajo y naturaleza del grupo profesional. El cuestionario normativo ha sido el instrumento orientado para investigar las representaciones de los estudiantes a nivel de conocimientos establecidos y reglamentados por la cultura, como condición básica para investigar sus Teorías Implícitas sobre a docencia. El estudio ha constatado que los subdominios determinados para la comprensión del objeto de estudio están presentes, de manera reincidente, en la literatura especializada como los son representativos en las identificaciones de los estudiantes investigados. Hemos concluido que las teorías configuradas para caracterizar la profesión docente en los años iniciales de la Enseñanza Fundamental hacen parte de la estructura de conocimientos de los estudiantes sobre la docencia, aunque los enunciados de las teorías, como actividad laica y como actividad técnica, no presente índice de tipicidad y de polaridad muy significativo cuanto aquellos relativos a la teoría de la docencia como actividad profesional. Las Teorías Implícitas de los estudiantes enseñan que ellos comparten elementos o rasgos de todas las teorías de la docencia, aunque se revelen más predispuestos a la docencia como actividad profesional. El estudio orienta la aplicación del cuestionario reglamentado a un grupo de profesores actuantes en el nivel de enseñanza en cuestión, para que averigüemos si los enunciados que hacen parte de la estructura de conocimientos de los profesores son los mismos que componen la estructura de conocimiento de los estudiantes, de modo a fortalecer la validación de nuestro instrumento de pesquisa

O ensino de artes nos anos iniciais do ensino fundamental: (re)pensando a prática docente

This paper aims to investigate the formative needs of Elementary School Arts teachers at municipal public schools in Natal, Rio Grande do Norte, working in the initial grades. The research was developed using the qualitative approach and the investigation can be classified as an action research-inspired collaborative, distinguished by mutual collaboration among all participants, as well as a reflection upon their practice. Conducted with four Arts teachers of Municipal Education de Natal/RN, this work triggered a (re)thinking of teaching practice in Arts, discussing the teachers' formation and encouraging a group reflection about their academic and professional path. Their motivation towards teaching was also discussed, as well as the way their progress as Arts teachers and the contributions and limits of college education, also including experiential knowledge as a possibility of formation. The main formative needs suggested by the research were knowledge on child development and child learning, and the need of an Arts curriculum proposal for the initial grades of Elementary School. From those data, a reflexive context was built with the participant teachers to give a new meaning to Arts teaching practice in the first years of Elementary School. Finally, it was shown that the Arts teacher formation must be broad and involve not only specific knowledge on Arts, but also knowledge about childhood. It was also clearly shown that a curriculum review in education undergraduate courses must be considered, besides the offering of a continual formation to teachers already giving classes. Concerning the Arts curriculum proposal, it should be done based on a work joining officials of Municipal Education, research and formation institutions and teachers working in the first years of Elementary School. Finally, the work highlights the Arts are essential in all levels of Elementary School, since its first years, and it must be taught and learnt since childhood

Fundef (1996-2006): a remuneração dos professores do ensino fundamental da rede pública municipal de Natal/RN

This work discusses about the teacher salary in the primary school after the creation of the Fundo de Manutenção e Desenvolvimento do Ensino Fundamental e Valorização do Magistério (Fundef), in the public schools in Natal/RN, from 1996 to 2006. The salary is considered one of the politic dimensions of the valorization of teaching. We aim to analyze the implication of this fund to the teacher remuneration, with different levels of training, in the early career, comparing it to the annual minimum salary, during the same period. This study has a historic-critic approach, establishing the relationship between the elements into a particular context (valorization of teaching/ teacher salary) and the elements from general contexts (financing/ Fundef). Analyzing data of the teacher remuneration from municipal payroll and comparing them to the annual national minimum salary gave us the result that the teachers, in their early career, do not have remuneration with a satisfactory evolution. Teachers that finished high school received until three minimum salaries before the creation of Fundef (1996-1997), after that (in 1998) they received under two minimum salary. In addition to this, independently of the level of the teacher training, their remuneration is under three minimum salaries. Hence, we can infer that the politic of funds is distant from the ideal to valorize the professional of the municipal teaching

O olhar da criança sobre a brincadeira nos anos iniciais do ensino fundamental

Universidade Federal do Rio Grande do Norte

Aplicações das atividades estruturadas de Skemp para a construção do conhecimento matemático

The present study constitutes a discussion about the application of Structured Activities to the construction of the mathematical knowledge, proposed by Richard Skemp. The discussion is based on the research that the author carried out in a public school of the state education chain buy using procedures of the research-action. It investigates the possibility of adoption of the proposal of Skemp in a new reality. It utilizes explanations from several theorists to understand the necessity and, at the same time, to enhance the efficiency of the referred activities in first grades of elementary school when students have their first mathematics teachings. It emphasizes the important rule of the teacher, as mediator to the mental constructions of the child. It presents considerations about the results achieved by the research, noticing the possibility of adoption of the studied proposal even though it is necessary an adjustment of the procedures to appropriate didactic-pedagogic requirements to the educational reality in which this project was done

O espaço formativo na escola: um estudo com professoras dos 4º e 5º anos do ensino fundamental.

Es extensa, de parte de los docentes, la discusión sobre la articulación de actividades y estrategias de enseñanza que vengan a proporcionar una participación más activa del alumnado. Sin embargo tal tarea constituye un desafío para muchos profesores ya que, muchas veces, la formación inicial no siempre los prepara para esta perspectiva. Nosotros entendemos que es necesario desarrollar en los maestros una autonomía crítica, tomando la escuela como espacio formativo. El objetivo de este trabajo fue él de incentivar un espacio de discusión y reflexión para profesores en ejercicio de los 4° y 5° años de la Enseñanza Fundamental I. Ese espacio que era orientado para que ellos estudiasen y articulasen, entre otras cosas, el conocimiento disciplinar de Ciencias y la organización y sistematización de actividades de enseñanza que lleven a una participación más activa de los estudiantes. La investigación se realizó en una escuela privada de Natal/RN, que atiende a estudiantes desde la educación infantil hasta la enseñanza secundaria. Se desarrolló en cuatro fases: la 1ª, de familiarización, cuyo objeto de estudio se dio a través de la observación del salón de clase y del análisis de la planificación anual: la 2ª, de identificación de las dificultades de los maestros, teniendo como instrumentos encuestas con preguntas abiertas y elaboración de textos. La 3ª, en la perspectiva de proporcionar una intervención, se usó como instrumentos de investigación, el diario de clase y otras actividades como talleres, cursos y la elaboración de material didáctico. En la 4ª fase, para reconocer los posibles cambios en la práctica docente, ocurrieron nuevas observaciones en el salón de clase, el análisis de las planificaciones. Los datos obtenidos fueron organizados en tablas y clasificados. Los resultados señalan cambios en la práctica de esos profesionales, la introducción de la disciplina de Ciencias en el espacio formativo y el material didáctico elaborado ha sido un subsidio importante para ayudarlos en las clases

Dificuldades de aprendizagem sobre conceitos de genética no ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Referenciação anáforica: um estudo de produções textuais no ensino fundamental

Esta pesquisa trata da referenciação ocorrida pelas anáforas diretas e indire-tas em produções textuais de alunos do Ensino Fundamental. Como elemento pri-mordial de nossas investigações, ancoramo-nos na referenciação e estudos da aná-fora no âmbito da Lingüística Textual como fazem Mondada e Dubois (2003); KOCH (2003) e Marcuschi (2005). De acordo com estudos já realizados e envolvidos com a temática, defendemos a noção de referenciação como sendo um processo de cons-trução de sentidos que se realiza no discurso, isto é, em atividades interativas entre os sujeitos exigindo, portanto, uma ação colaborativa entre os interlocutores. Nesse aspecto, a interação precisa existir, visto que os referentes de um termo anafórico nem sempre se encontram na superfície textual; muitas vezes, são construídos a partir de uma representação ou modelo mental disponível na memória discursiva. Nessa perspectiva, procuramos analisar o processo de referenciação construído a partir de anáforas diretas e indiretas identificando as estratégias utilizadas em textos produzidos em situações de sala de aula. Dizemos que a anáfora direta, de modo geral, é definida pela relação de correferencialidade estabelecida entre o anafórico e seu antecedente, enquanto a anáfora indireta é vista como uma estratégia referenci-al de associação, sem referente explícito, tendo que se esforçar para estabelecer a continuidade referencial no texto e para isso utiliza-se da ativação (referenciação mental) de elementos novos e não de uma reativação de referentes já conhecidos, o que constitui um processo de referenciação implícita. Para alcançarmos nosso obje-tivo, utilizamos como subsídio teórico, o processo de informação na memória cogni-tiva, a referência e estudos da anáfora no âmbito da Lingüística Textual. O corpus deste trabalho constitui-se de sessenta textos escritos por alunos de 7ª série (atual 8º ano), dentre os quais analisamos o processo de referenciação ocasionado pelas anáforas diretas e indiretas em doze desses textos. Considerando os dados analisa-dos, dentre os tipos de anáforas estudados, constatamos que houve preponderância no uso das anáforas diretas, destacando-se entre elas a anáfora direta correferencial co-significativa, com maior manifestação no uso das retomadas diretas por pronomi-nalização

As práticas exitosas de leitura no ensino fundamental: vozes sociais de professores e de estudantes

The school is the social place which should provide the formation of critical readers. In this context, the role of the teacher is crucial when it comes to teaching reading. Thus, this doctoral research aims to explicit the reading practices evidenced from social voices of teachers and Fundamental School students from state public schools at RN that have successful results, according to IDEB 2009. Moreover, we seek to explicit, through the positions of teachers, the conceptions of reading underlying their reading activities, as well as elucidate the social voices related to teaching of reading that are present in the National Curriculum Guide for 9 years Fundamental School and in the Political-Pedagogical Projects of the educational institutions investigated. In order to accomplish this goal, we carried out observations in the classroom, applied questionnaires with teachers and students in the 9th grade of Fundamental School, in classes of Portuguese Language, and also performed dialogical meetings with the management and pedagogics schools teams. The theoretical foundation that guides the research comes from bakhtinian thinking (2009, 2010), which addresses the dialogical perspective of language and active responsive comprehension. Furthermore, this work is anchored in theoretical reflections of Antunes (2005, 2009) and Geraldi (2003, 2006, 2010) about the reading and writing in the country, which contribute to the resizing of the teaching and learning process of Portuguese Language. This study belongs to the field of Applied Linguistics, which investigates language as social practice in the context of learning mother language or in contexts where relevant questions about the use of language are evidenced. The parameters of qualitative research in a social-historic perspective are adopted seeking to understand the school context by the subjects involved in research. The research corpus is composed of: (i) information constructed through the use of questionnaires with teachers and students; (ii) information constructed from the observed lesson and dialogue with management and pedagogical teams; (iii) a set of selected information, i.e., empiricism built through documentary analysis of the National Curriculum Guide for 9 years Fundamental School (CONSELHO NACIONAL DE EDUCAÇÃO, 2010) and the Political- Pedagogical Projects of the investigated schools. The analysis of the sayings of teachers and students suggest reading practices from various texts, in particular, from the literary sphere, in activities involving discussions, reading and reading comprehension exercises, interviews, songs, seminars organizations, concerts, dramatizations, literary weeks, among other practices. Furthermore, these analyses reveal that teach Portuguese Language requires commitment, responsibility and satisfaction, as well as more grounded theoretical principles, which make teaching practice more efficient. The research also reveals that the success of the teaching-learning process occurs by virtue of the involvement of school s segments in the educational process, creating therefore a network of responsibilities. In this sense, this research may contribute to the production of knowledge that can guide and enrich the teaching and learning of reading, envisioning a pedagogical practice constructed from the relationship with the other, i.e., from the dialogism which provides formation of young people that exercise their citizenship

A apreciação musical infantil: aspectos da constituição da infância contemporânea no discurso de crianças do Ensino Fundamental

Music can be found in peculiar historical and social context with distinct functions, such as religious rituals, ethic-esthetic education of subjects, therapeutic elements, critic and maintenance of established patterns, among others. Considered as language, music acts on dialogue dimensions of the body, the senses, the affectionate-cognitive and of social interactions. Their uses reveal the social forces that cross the culture and constitution of subjectivities. The attribution of senses by the subjects to musical production reveals the cultural voices in dialogue, that circumscribe determined social places to them. Our aim in this work is to investigate the child musical appreciation, with children about 7 to 9 years old, and, by attributing uses and senses to music, unveil the voices that settle the places intended and assumed by infancy in contemporaneity The child constructs its musical appreciation through cultural access and mediation, possible by circulation in several socializing groups like family, school, church, infant groups, community groups and, more recently, publicity and media These last two spheres, enabled by the development of the technological means of communication, contributed to the dissemination of the set of consume ideas and for the emergence of the cultural industry, characteristic of the capitalistic production way in its present configuration. They develop new possibilities of perception of the world, in which the limits between childhood and adulthood are not anymore the same that have been established in previous centuries. So, the child musical appreciation is constituted by homogeneity regarding the senses built and disseminated by cultural industry and by the logical merchandizing, and singularities, associated to the construction of senses in interaction with global, local, and multiple contexts, through which the subject circulates and constitutes himself polyphonically

Influência da massa corporal sobre a aptidão física em adolescentes: estudo a partir de escolares do ensino fundamental e médio de Sorocaba/SP

Reconhecendo a exposição a riscos à saúde a que adolescentes obesos estão submetidos e a necessidade da produção de estudos, os quais relacionem excesso de peso corporal e capacidade física durante a puberdade, configura-se como objetivo da presente comunicação explorar as relações entre o sobrepeso e a aptidão física dos alunos de ensino fundamental e médio de escola particular paulista. Trata-se de estudo de coorte, considerando como variável independente o índice de massa corporal (IMC) e como dependentes a resistência muscular localizada (RML) abdominal, força de membros inferiores (MMII), flexibilidade e agilidade. Os dados de interesse foram colhidos em duas oportunidades (no início de dois anos letivos subseqüentes), segundo testes específicos. Foi realizada análise multivariada dos perfis médios, complementada com a construção dos intervalos de confiança simultâneos, ao nível de 5% de significância. Constatou-se prevalência de 21,42% de sobrepeso e associação deste com: i) em meninos, menores RML abdominal e força de MMII e não evolução nas médias de agilidade; ii) em meninas, menor RML abdominal e agilidade, no início do período considerado. Ao se compararem os resultados entre os dois momentos de avaliação, notou-se que: i) a agilidade, das meninas com peso corporal adequado diminuiu significantemente; ii) a RML abdominal, mesmo do grupo masculino com sobrepeso, aumentou; e iii) a agilidade, somente em meninos com IMC inferior, melhorou. Verificaram-se, também entre o sexo masculino, médias de RML abdominal, força de MMII e agilidade significantemente maiores que as do grupo feminino. Nesse sentido, revela-se que a prescrição da atividade física para adolescentes deve realmente ser específica segundo composição corporal e sexo.

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.