Mídias na educação matemática: projeto CONDIGITAL

This work aims to understand the multimedia Learning Objects (LO's) developed within the CONDIGITAL project, subsidized by the federal government. The CONDIGITAL aimed to encourage the production and the use of media in teaching in high school classrooms. This work presents a reflection on the contribution of media to the construction of significant learning of student users. The research was conducted through a literature study. Therefore, it was considered the work of some researchers related to the study of the potential of these technologies in education, such as Valente (1995), Tauroco (2007) and Mussoi (2010). These readings made possible to discern some common evaluation criteria that may be used as parameters to analyze the quality of these media as educational tools. The theme of exploration is guided by a research on the motivation of the mentioned project and on its amplitude and its results, which is directed later to the LO's developed by UNICAMP team, particularly in the Mathematics productions developed by the M³ project, some of the which are presented and evaluated in this monograph

Ensino e aprendizagem de matemática: o uso de recursos manipulativos em sala de aula

In this work, we understand the importance of the use of manipulative resources for learning mathematics. For both we developed a qualitative phenomenological approach. Performing a case study with nine 7th grade students of the Elementary School, we used the abacus of the integers to examine in what way the use of Abacus contributes to students learning. The choice of material was made according to the focus of research, understanding the signs rule. In the analysis and interpretation of data, highlight lines of students, subject of the research, units of meaning that allow us to say that the material using awakened interest in students Who actively participated in the research and enabled them to understand the rule of signs, to operate with integers enabled them to understand the rule of signs, to operate with integers

A questão da licenciatura em Educação Fisica : a transição a pratica profissional

Universidade Estadual de Campinas. Faculdade de Educação Física

As disciplinas pedagógicas na formação e na construção de representações sobre o trabalho docente: visões de alunos de licenciatura em Química e Física

Este estudo tem como objetivo analisar as concepções de licenciandos em Química e em Física sobre a prática profissional e as marcas deixadas pelas disciplinas pedagógicas na sua formação, assim como identificar sinais de mudanças em suas concepções durante a realização do curso de Licenciatura. Para tanto, textos foram produzidos por 54 alunos matriculados em cursos de Licenciatura de duas universidades públicas do estado de São Paulo, nos quais os licenciandos expressaram suas experiências de formação e apontaram elementos que consideram que terão alguma influência em sua atuação profissional. Os textos revelaram que as ideias que os licenciandos carregam são consistentes com muitas das visões e objetivos apresentados em cursos de formação de professores. Nas produções dos estudantes faz-se presente o desejo de compartilhar e promover em seus futuros alunos o interesse pela Química e a Física. Os seus comentários refletiram visões de professores que tiveram no passado, os quais gostariam de imitar, e de outros que não gostariam de ser. Os comentários também tornaram evidente a vontade dos licenciandos em se estabelecerem como professores que se preocupam com seus alunos. Os textos foram analisados segundo a Análise do Discurso de linha francesa, como tem sido divulgada por Eni Orlandi, especialmente a noção de formação discursiva.

Avaliação em matemática: uma leitura de concepções e análise do vivido na sala de aula

Este artigo traz uma reflexão acerca da avaliação em Matemática, destacando os modos pelos quais essa avaliação pode vir a ser compreendida e discutida em um curso de formação de professores da área. Explicita-se como, a partir das situações de sala de aula, o olhar para as possibilidades da avaliação pode contribuir para a formação desse professor no que diz respeito ao compreendido pelos alunos. São analisadas três situações-problema, propostas aos alunos do curso de graduação em Matemática, cujo foco é o modo de avaliar. O olhar avaliativo e o fazer Matemática são entendidos como uma forma de o aluno voltar-se para o conteúdo matemático, abrindo-se ao que, no seu lidar cotidiano, se mostra. Diz-se da importância de se considerarem os "dados relevantes" e o "a ser conhecido" nas situações de avaliação que permitem, ao professor, ler a aprendizagem do aluno em seu modo de se expressar.

O estágio supervisionado no curso de Educação Física da UEPB/Brasil: concepções e contribuições na formação dos(as) alunos(s)

RESUMO: A formação profissional em Educação Física vem sofrendo mudanças significativas ao longo da história. Após a década de 1980, com a Lei de Directrizes e Bases da Educação Nacional (LDBEN, Nº9394, de 20 de Dezembro de 1996), emergiram novos olhares para o curso. Neste novo contexto, o curso de Educação Física da Universidade Estadual da Paraíba – UEPB – vem redimensionando sua prática com vista na formação de um profissional comprometido com a educação em sua dimensão ética, política, social e cultural. Assim, tivemos como objectivo, investigar a contribuição do Estágio Supervisionado na formação inicial do licenciado em Educação Física. A pesquisa molda-se como um estudo de caso, com abordagem qualitativa. A unidade selecionada para o estudo foi o Curso de Licenciatura em Educação Física da Universidade Estadual da Paraíba, Paraíba-Brasil. Participaram da pesquisa dez alunos(as) egressos(as) do referido curso. Os dados foram coletados através de entrevistas e analisadas a partir da Análise de conteúdo. Os resultados apontam a persistência da dicotomia teoria e prática no estágio docente; deficiências no trabalho de supervisão do estágio, bem como na insatisfação dos(as) entrevistados(as) frente aos aspectos teórico-práticos do referido curso para atuação no mercado de trabalho . ABSTRACT: Vocational training in physical education hás undergone significant changes throughout history. After the 80’s, with the Lei de Directrizes e Bases da Educação Nacional (LDBEN) nº 9.394/96, nem perspectives have emerged for the course. In this new context the course of Physical Education, State University of Paraiba – UEPB – redefined its practice in order to promote the formation of a professional committed to education in its ethical, political, social and cultural aspects. Thus, we aimed to investigate the extent to which supervised training has a relevant contribution for the initial degree in Physical Education. This research project is a case-study using a qualitative approach. The participants were ten students from Bachelor of Physical Education, State University of Paraiba, Brazil. Data were collected through interviews and analyzed through content analysis. The findings indicate that the dichotomy between theory and practice in teacher training is quite evident. The results also demonstrated deficiencies in the supervision of the training and a level of dissatisfaction concerning the applicability of the theoretical and practical aspects the course for the labour market.

A geometria na formação inicial de professores: contributos para a caracterização dos estudantes

Dissertação apresentada para obtenção do grau de Mestre em Educação Matemática na Educação Pré-Escolar e nos 1.º e 2.º Ciclos do Ensino Básico

Perfil de estudantes ingressantes em licenciatura: Escola de Enfermagem de Ribeirão Preto da Universidade de São Paulo

Este artigo tem como objetivo descrever o perfil dos ingressantes da primeira turma do Curso de Licenciatura em Enfermagem da EERP/USP, no ano de 2006, quanto a sexo, idade, estado civil, identidade escolar (ensino fundamental e médio) e vínculo empregatício, destacando suas implicações para o processo ensino-aprendizagem. Estudo de natureza descritivo-exploratória que utiliza questionário como técnica de coleta de dados. Os resultados serão apresentados de modo descritivo, com freqüência absoluta e percentual. A faixa etária dos estudantes é diversa, variando de 19 a 46 anos. A maioria (67,5%) é proveniente de escola pública (ensino médio), havendo 42% de trabalhadores, sendo que 67% desses já atuam na área da saúde. Esses dados podem trazer implicações para a prática pedagógica do professor.

Investigación en el aula : las decisiones condicionan las interacciones.

Se estudia las consecuencias de las decisiones de diseño de una investigación en las interacciones que posteriormente se producen entre investigador y sujeto. Se trabaja sobre el ejemplo de una investigación sobre el aprendizaje de los números reales y su representación en la recta. Dicha investigación se realiza sobre alumnos de primer y segundo curso de bachiller, así como de primer curso de licenciatura en matemáticas. Se decide dividir la investigación en tres estudios. El primero es una análisis preliminar sobre los números reales. El segundo es el trabajo de campo con estudiantes. El último es un análisis de los resultados obtenidos y el historial de decisiones de la investigación. La muestra de sujetos de la investigación consta de varios estudiantes de secundaria y primer curso de licenciatura que no han podido ser elegidos por los investigadores. La fase empírica de la investigación consiste en la proposición de una serie de tests a los alumnos. La primera parte del estudio con alumnos se realiza en el aula. Una vez realizados los test en grupo, se hacen entrevistas individuales en una habitación aparte. Durante dichas entrevistas, la labor del investigador es fundamentalmente dejarle claro al alumno que el test no va a ser evaluado ni tendrá repercusión en su currículum. Se observa que la comunicación con los alumnos logra aumentar la fiabilidad del estudio tranquilizando a los estudiantes.

Concepciones y creencias de los futuros profesores sobre las matemáticas, su enseñanza y aprendizaje : evolución durante las prácticas de enseñanza.

Caracterizar las creencias y concepciones de los estudiantes para profesores de matemáticas de los niveles de Educación Secundaria. Estudiar la evolución de sus creencias y concepciones a lo largo de un curso académico de formación inicial de profesores. 25 alumnos y alumnas de quinto curso de Licenciatura de Matemáticas, especialidad Metodología, asignatura Prácticas de Enseñanza de Matemáticas en Institutos de Bachillerato de la Universidad de Granada. Se analizan los fundamentos teóricos de la investigación y se define la materia de la misma. Se realiza un estudio piloto previo en el que se comprueba la eficacia del comentario de textos como instrumento de recogida de información, y que se emplea como pretest-posttest. El estudio empírico se divide en dos partes: 1. Estudio de grupo, 2. Estudio de casos. Se aplica el comentario de textos sobre la totalidad de la muestra y se diseña una rejilla de creencias y concepciones para categorizar las unidades de información en planos (epistemológico, psicoepistemológico, psicodidáctico, didáctico) y etapas (gnoseológica, ontológica, validativa). La rejilla permite obtener la tabla de frecuencias de unidades de información de los estudiantes. A partir de esta categorización de las unidades de información, empleando el paquete de programas BMDP, se realiza un análisis de correspondencias múltiple del que se obtienen 5 factores. En el estudio de casos se realiza un análisis de los trabajos realizados por los dos estudiantes seleccionados y se les somete a una entrevista. Los datos obtenidos se descomponen en unidades de información que se categorizan a través de la rejilla. Comentario de texto, tablas de contingencia, informes. Tablas de frecuencias, matriz de Burt, índice de coincidencia, índice de sensibilidad.. En el estudio de grupo, la mayoria de los estudiantes resumen el texto respetando su estructura y lo interpretan como un discurso didáctico en el que la oposición constructivismo-realismo se basa en enseñanza tradicional-enseñanza activa. Los estudios de casos confirman las escasas diferencias entre los perfiles elaborados antes y después de las prácticas de enseñanza, lo que muestra la consistencia del sistema de creencias. Las variaciones entre el pretest y el posttest no son significativas, aunque se observan variaciones interesantes en algunos estudiantes que habría que completar con un estudio de casos personalizado..

Recorte de um estudo dos cursos de formação inicial de professores de matemática do Estado de São Paulo - Brasil

Este trabalho tem como objetivo descrever e analisar informações sobre os cursos de Matemática do Estado de São Paulo, relacionadas às respectivas modalidades e estruturas. Predominantemente quantitativo, este estudo, que faz parte de uma pesquisa de doutoramento em desenvolvimento, apresenta, também, um panorama síntese dos dados dos cursos de formação de professores de Matemática identificados no Estado de São Paulo e propõe questionamentos para possíveis reflexões que relacionam leis que os normatizam com as informações, insuficientes, disponibilizadas pelas Instituições de Ensino Superior deste Estado.

Olhares sobre a formação do professor de matemática. Imagem da profissão e escrita de si

The main focus of this thesis is the formation of a mathematical teacher at a college institution. The general aim is to describe and to analyze the formation process of a mathematical teacher which is an undergraduate student in Mathematics at the Instituto de Educação Superior Presidente Kennedy IFESP, in Natal-RN. It is based on a qualitative ethnographic approach, and has its theoretical anchorage in the (auto)biographical narratives, the social representative theories, and the mathematical education. The number of participants in this investigation was 12 undergraduate students, which corresponds to 25% of the total number of students. The corpus utilized in our analysis included 48 (auto)biographical essays, 12 (auto)biographies (formation's memories), and 12 contextualization files, besides the research's diary. The sources were obtained from the whole program of studies, i.e. from November 2003 to December 2006. The analysis revealed that the reminiscences of the 12 students' academic trajectory influenced their professional formation, since their images of a mathematical teacher were intrinsically related to the one they had before. These representations were being either demolished or constructed in a network along the assertive image of their profession, changing afterwards the mathematical representation and the teaching way of this discipline. Our study also shows that the beginning of their teacher career was marked by mechanical practices influenced by their old teachers. The (trans)formation of themselves and their teaching practices happened in a smooth way as soon as they increased their knowledgements in Mathematics, and it reflected upon the way they learned mathematics. The writing of their (auto)biographies helped the set up of new knowledgements, leaving to a self-consciousness as well as a self-formation, and contributed for the construction of a new way to see and to live the profession. Therefore, a mathematical teacher, for the undergraduate students of the IFESP involved in this work, is made at the interface of the familiar, academic, and professional context, besides the reflexive writings about the formation path, the way of life and the relationships among them

A política de formação inicial de professores e a implementação do componente curricular Prática Profissional na Licenciatura de Geografia do CEFET-RN

This work is a research about the policy of initial education of teachers made by the federal government, in the Brazilian educational view in the 1990 s. It is based on that the procedures to the initial education of teachers are in a much bigger context of the productive rearrangement and of the reconstruction of the State and they have in the international institutions, like the CEPAL, UNESCO and the World Bank, their main mediators. The dissertation aims to analyze the implementation of the policy of initial education of educators, having as empirical field the CEFET RN institution, and as reference the undergraduate course of Geography, more specifically the subject vocational practice. This study is advised by the theoretical and methodological fundamentals of the qualitative research, and it is being characterized by a case study. Among the methodological procedures which were used, some of them can be pointed out such as, the bibliographic research, the documental analysis, the application of questionnaires and the carrying out of interviews. The studies show up CEFETs and the Superior Education Institutes were considered by the Brazilian government suitable for the introduction of the initial education of vocational training, related to teaching, a proposed model by updated principles of international organizations. However, in the CEFET RN reality, although the difficulties listed by the teachers and students in the introduction of the subject vocational practice, the initial background in the undergraduate course of Geography got one point which is getting close to the teaching that is carried out in universities, privileging teaching, research and extension. For the people who have participated of researches, the subject vocational practice is relevant for the curriculum of teaching education because it makes the articulation between theory and practice possible, aspects considered essential ones for a teaching education of quality. Also, the studies show that one of the big obstacles faced in the introduction of the subject in question, was the lack of assistance to the students who are in a period of training and in the execution of research and extension projects caused by the insufficiency of educators to perform in the undergraduate course, as well as the lack of time of the teachers due to a large number of activities that they develop in their workplace (CEFET RN). This fact reveals the way how the policy of education of teachers came to educational institutions, imposed by MEC, without considering their structure conditions. Although the difficulties, the innovator character of the experience stood out, as in relation to the locus of education as because of being an educational model which involves theory and practice and the different kinds of knowledge, pretty necessary ones for the teaching education, as well as coming beyond a pragmatic education coherent with the immediate interests of the world of work

Cosmoeducação: uma abordagem transdisciplinar no ensino de astronomia

This work proposes a transdisciplinary approach that integrates transpersonal psychology exercises with astronomy teaching, seeking to allow one to reintegrate the sky in his/her daily life, expand his/her environmental awareness and eventually experiment the unity between human and cosmos. This proposal intends to collaborate with the supplying of education, which lacks initiatives of this kind, with the promotion of an integration of the scientific knowledge with the human experience that transcends the materialistic and fragmentary objectives of the current educational system. As a result of that lack, the teachers formation is also poor as for an integral and transdisciplinary approach. Besides, we also approached in this research the necessity to propose alternatives so that the educators may work in a more assertive way with the environmental and anthropological crisis in which we are living. Our working hypothesis is that the contents of astronomy, when they are dealt in a holisticanthropological focus and are related with transpersonal psychology practices, can come to be an efficient cultural-academic vehicle, capable of propitiating an expansion of consciousness and changes in the way one conceives the world. Such changes are necessary so that a more solidary, fair and ecologically balanced life may come to exist and prevail in the planet. Part of the collection of data was done through the ethnographic method, once an anthropological interpretation is inextricably associated with this kind of educational intervention, which will naturally include ethno-visions of the universe as well as specific cultural elements. In the beginning the scope of this research was a group of students attending the Astronomy assignment in an undergraduate Geography course (UFRN), in which we accomplished participant observation, half-open interviews and the first experimental practices mentioned. After the evaluation of the first data collected from that initial group, we elaborated an academic extension course, Laboratory in Cosmoeducation, and we offered it to teachers of the 1st and 2nd cycles of the fundamental level of the Alceu Amoroso Lima State School, located in the North Zone of Natal. We prized self-experimentation in that course, so that the teachers could enrich their repertoire of personal experiences, stimulating meditative reflections and eventual changes in the ways of conceiving the world and in their pedagogical practice. The transdisciplinary attitude permeated all our educational action, because this approach transcends the boundaries of disciplines, seeking essentially the integral development of the human being. The process has made us realize that the practice of looking at the sky , as a way of reintegrating it into daily life, provokes a process of expansion of the consciousness and of reintegration of the self in a wider level of environmental interrelation. According to the results, the occurrence of conceptual and existential changes of the world vision of the participant teachers was evident, reassuring ourselves of the idea that the interface between astronomy teaching and the practices of transpersonal psychology can contribute to the recovery of a holistic relationship between the human being and the cosmos and to inspire the arising of a more wide-ranging ethics, based on universal, impartial and sustainable values

Investigação histórica nas aulas de matemática: avaliação de duas experiências

This study reflects on some procedural aspects about the development of mathematics learning from the experience with investigative activities concerning the resolution of second degree equation, which was tested a proposal for education, supported the use of texts in history of mathematics. The survey was conducted in two stages, taking the first-served basis for the second, which was carried out with a study group remainder of the first experiment. The intention was to investigate how the group participant, known as the study group, involved in the implementation of activities of research in mathematics, supported the use of the history of mathematics. Based on the results achieved during the study, it was possible to understand that the activities of research enable the development of students, range of learning mathematics and the development of skills and expertise for research as a vehicle for construction of their mathematical knowledge. This approach proposed research into the classroom is important, both for prospective teachers of mathematics and for students from elementary school, bringing a new phase for mathematical education that will come to schools