A teoria, a prática, o professor e a educação ambiental: algumas reflexões

The acceleration of economic and scientific development caused by the production system and mechanistic science, have created new power structures and new political and social problems, including environmental ones, consolidating a period of widespread crisis in different spheres of society. In this context, reflection about the major causes of environmental problems is necessary in the field of environmental education. Therefore, considering that the current environmental crisis is directly related to the mode and the devices of production of the capitalist system, initiatives on environmental education should reflect, from a historical and dialectical process, on what is advocated by capitalist society. Considering the various theoretical-practical concepts and approaches in environmental education, the principles of Critical Environmental Education can provide conditions to confront the structural crisis that we are facing, through the educational process. It is a political process of reflection and critical appropriation of knowledge, attitudes, values and behaviors that aims to contribute to build a sustainable society from the social and environmental points of view. We intend to articulate it through the theoretical formulations of Historical-Critical Pedagogy with the purpose of presenting a reflection that may contribute to a pedagogic response to environmental issues, especially regarding the formation of teachers who develop projects in schools. Thus, this present study intends to highlight the contributions of the philosophy of praxis in the formation of environmental educators, grounded in theoretical aspects of Critical Environmental Education.

Sobre a identidade do Centro de Educação Matemática (CEM): acidentes de uma leitura cartesiana

In this paper we present results of research conducted on the constitution of the identity of CEM (Centre for Mathematics Education), a group of mathematics teacher educators from the city of São Paulo, Brazil (1984-1997). We emphasize the processes of constitution of CEM’s identities, on the perspective of Oral History in Mathematics Education, of the Model of Semantic Fields and of theories of identities. As part of the broader endeavor of examining possibilities for constituting identities for the group, from several theoretical standpoints, here we report an exercise on constituting the identity of CEM from a Cartesian standpoint; the overall assumption is that we are not properly interested in what CEM is or was, but on the possibilities themselves. We argue that such analysis leads to an understanding of the group as being an accident involving the individual identities of its members but not to an understanding of CEM’s group identity as such.

Cómo se puede implementar la Historia Oral en Educación Matemática?

What is known today as “Oral History” is a research methodology which, in Brazil, has been widely used in the field of cultural studies by sociologists, anthropologists, and historians. Oral History was first introduced in Brazil with studies in social psychology and then spread to many other academic spheres, with the field of mathematics education being one of the most recent to adopt this method as one of its theoretical-methodological references. Topics such “What Oral History is” and “How Oral History can be implemented in mathematics education” are the foci of this paper.

Reflexões sobre o desenvolvimento da prática social e a produção e sistematização do conhecimento matemático

The aim of this study is to reflect about the cultural aspects concerning Mathematics Education, from the relationship betwen the development of the social practice and the production and systematization of knowledge about Mathematics. Thus, in first instance, there is a reflection about the producton level of mathematics knowledge in diverse social contexts, facing the level of complexity of the investigated reality. In a second instance, considerations are made about the necessity of understanding the culture phenomenum, in a totalizing perspective and the implications facing the atomization of culture in researches of ethnographic aspects about the production of mathematics in specific social contexts.

Movimentos de um movimento: um estudo sobre os significados atribuídos ao escolanovismo e seus ritmos

Um conjunto de depoimentos coletados oralmente e de fontes escritas disponíveis no arquivo inativo de um antigo Grupo Escolar paulista é analisado em paralelo à literatura sobre o Movimento Escolanovista visando a compreender os modos como um ideário se impõe, no cotidiano das práticas escolares, num ritmo constante de avanços e resistências, alterações e manutenções. Ao mesmo tempo, defende-se que o Movimento Escolanovista – ou qualquer proposta educacional – não é um bloco maciço de significados fixos, mas uma leitura, uma mobilização, uma apropriação que, segundo os vários significados a ele atribuídos, implica a efetivação de algumas práticas no interior da escola.

Matemática e arte: incursões na interdisciplinaridade

The complex analysis is, in actuality, a fundamental mathematical object, given its applicability to various areas of science. This paper proposes a more interesting intertwining of mathematical content to the Visual Arts, through computer graphics. The presentation of aesthetic standards, using the “domain coloring” for viewing a complex function, shows that algebraic and geometric properties can be “colored” which makes its study more human, contextualized, pleasant and dynamic, leading to greater ability to understand, to absorb and to create concepts. This work shows the contribution to the interdisciplinarity to study of mathematics.

A relação teoria e prática em projetos de educação ambiental desenvolvidos em um bairro de Bauru, SP, Brasil

This study examines the relationship between theory and practice that emerges from two Environmental Projects that were carried out in a popular neighborhood of Bauru, SP, . In order to analyze the data, given the diversity of theoretical and practical approaches and concepts in environmental education, we chose as a theoretical foundation critical environmental education. Considering the techniques used in the methodological procedures of qualitative research in education, we elected, as a tool to collect information, content analysis. The results presented in this paper indicate the need to break the dichotomy between form (practice) and content (theory) in the environmental educational process, focusing on the systematized and historically constructed contents. Thus, we consider the environmental education process analyzed involve treating form and content as a dialectic unit.

Ocorrência de pesquisas narrativas sobre formação de professores de Ciências e Matemática no Brasil, de 2000 a 2010

In this article, we present results that express the occurrence of narratives researches in the form of theses and dissertations in postgraduate programs in Brazil, from 2000 to 2010 in the Teaching of Science and Mathematics area. We consulted the Student Registration, on the site of the Coordination of Improvement of Higher Education Personnel, through the keywords: narrative research, narrative inquiry and teacher training. Through reading the abstracts, we identified the area of knowledge, the IES and the supervisor. Of the 162 (one hundred, sixty two) academic productions identified, 31 (thirty-one) are in the area of Science and Mathematics teaching. The data obtained point to the existence of groups of studies and research training in the country engaged in narrative research in Mathematics and Science Teaching, in line with teacher training.

Cartografias contemporâneas: mapa e mapeamento como metáforas para a pesquisa sobre a formação de professores de Matemática

This essay sketches some principles according to which a research project called “Mapping of math teacher education and practice in Brazil” is been conducted by a group of researchers with the objective of understanding the way policies related to teacher education and practice are effectively implemented in different regions of the country. The main objective of this article is, therefore, to discuss the pressupositions of this project, its foundation, the basic beliefs in which it is rooted. In order to emphasize such principles, some remarks on theorization, methodology, teacher education, narratives and on the concept of mobilization/apropriation are done. The essay is based on a metaphor built on cartographical practices.

Nanotecnologia e nanociência em livros didáticos de física do nível médio: discursos sobre a tecnologia e a educação científica e tecnológica

In this contribution, we analyze conceptual approaches to nanotechnology and nanoscience in recent issues of secondary education of Brazilian physics textbooks. We analyzed fifteen collections of Physics textbooks of recent editions, however, only two books, belonging to different collections incorporate considerations about nanotechnology and nanoscience in their approaches. We focus our analysis on three aspects, namely: the place dedicated to approaches to nanoscience and nanotechnology, notions about technology and its contributions to critical scientific education. This is a qualitative research; it was used as conceptual approaches the Philosophy of Technology, The Discourse Analysis (DA) and Science, Technology, Society (STS) concepts. We found that in two examined textbooks the approaches to nanoscience and nanotechnology is a complementary description of modern physics, associated with quantum theory. In this context, the concepts of nanoscience and nanotechnology focus superficially in the genesis of the field and some possible areas of applications. It was not identified in all textbooks warnings about the potential risks to human health and the environment from the use of nanotechnology and nanoscience. We understand that textbooks approaches about nanotechnology and nanoscience round a instrumental technological perspective, however keep away from the scientific and technological critical education.

Sobre historiografia: fragmentos para compor um discurso

Based on some experiences of research in History of Mathematics Education, this paper presents twenty fragments related to the practice of Historiography in order to bring some questions about such practice in the domain of Mathematics Education.

As matemáticas modernas: um ensaio sobre os modos de produção de significado ao(s) movimento(s) no ensino primário brasileiro

The main goal of this paper is to discuss the production of meaning of the Modern Math Movement. The main sources were data available in school archives and interviews with former teachers that we use in order to focus on the diversity of perspectives -that complement it or oppose it-, which comes up when teachers refer to the Movement. Using this process of signification, teachers whether accept it, invalidate it or adapt it to guidelines imposed to them in their teaching activities. We establish a methodology by following the premises of Oral History to gather oral testimonies. The theoretical foundations in which this article is written are the guidelines of Paul Ricoeur’s Hermeneutics, John Thompson’s Depth Hermeneutics and Bolívar’s narrative analysis.

O rádio e as matemáticas: um estudo sobre o Projeto Minerva

According to our conceptions, to study the so called Projeto Minerva (PMi) – an action of Brazilian Military Dictatorship, implemented in the 1970s, which intended to provide access to Primary and Secondary Schools for thousands of Brazilians throughout the country, using a cheap, and at that time a widely -spread medium, the radio – implies to study not only a unique education strategy, but a variety of circumstances that allows it to be created and developed throughout its 10 years of existence in various Brazilian locations. Each circumstance, each region, each way of doing of each person involved in its development constitutes a different Minerva – that’s why we choose the plural to treat it: the Minerva ProjectS. In this paper we present one of the many possible histories about such project. Synthetically, we present some historiographical aspects of its creation, development and extinction and, based on a study about one of its lessons (related to Analitic Geometry), we try to evidence differences between a spoken mathematics and a written mathematics. According to the the oretical framework used in this text, inspired by the Wittgenstein's language philosophy, the Project articulates various mathematics, what is different of saying that the project deals with the "usual" Mathematics merely changing the way of communicate it.

Resolução de problemas com aplicações em funções

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma, nove ou dez narrativas sobre as licenciaturas em ciências e matemática em Mato Grosso do Sul

Pós-graduação em Educação Matemática - IGCE