Cartilha de alfabetização e cultura escolar: um pacto secular

No Brasil, a partir da última década do século XIX, com a organização republicana da instrução pública, observa-se o início de um movimento de escolarização das práticas de leitura e escrita e de identificação entre o processo de ensino inicial dessas práticas e a questão dos métodos. A partir de então, a cartilha vai-se consolidando como um imprescindível instrumento de concretização dos métodos propostos e, em decorrência, de configuração de determinado conteúdo de ensino, assim como de certas silenciosas, mas operantes, concepções de alfabetização, leitura, escrita e texto, cuja finalidade e utilidade se encerram nos limites da própria escola e cuja permanência se pode observar até os dias atuais. O objetivo deste artigo é, mediante análise dessas questões, problematizar a relação entre cartilha de alfabetização e cultura escolar e seus desdobramentos na história da educação e da alfabetização em nosso país.

Symbolic power, robotting, and surveilling

Symbolic power is discussed with reference to mathematics and formal languages. Two distinctions are crucial for establishing mechanical and formal perspectives: one between appearance and reality, and one between sense and reference. These distinctions include a nomination of what to consider primary and secondary. They establish the grammatical format of a mechanical and a formal world view. Such views become imposed on the domains addressed by means of mathematics and formal languages. Through such impositions symbolic power of mathematics becomes exercised. The idea that mathematics describes as it prioritises is discussed with reference to robotting and surveillance. In general, the symbolic power of mathematics and formal languages is summarised through the observations: that mathematics treats parts and properties as autonomous, that it dismembers what it addresses and destroys the organic unity around things, and that it simplifies things and reduces them to a single feature. But, whatever forms the symbolic power may take, it cannot be evaluated along a single good-bad axis.

Training courses for teachers through the distance learning: practice reports used virtual environment TELEDUC

This paper describes the experiences of long-distance courses, it focused on the continuing education of basic education teachers in all Brazilian territory. Such courses were offered by CECEMCA (Center for Continuing Education in Mathematics Education, Science and Environment), linked to the Universidade Estadual Paulista Julio de Mesquita Filho - Campus de Rio Claro during 15/01/2009 to 30/11/2009. The subjects report to the theme of Education, Geography and Environment, it was organized in four courses: "Introduction to Cartography," Environment and climate change - thinking a new paradigm of sustainable green planet "," Remote Sensing in environmental studies Environment "and" Methodological Alternatives for Inclusive Classroom: Experimenting with visual and hearing impairments". So, we show here, the feasibility and importance of distance learning tools for education, specifically teacher training, based on the results obtained in these courses.

As diferentes “personalidades” do número racional trabalhadas através da resolução de problemas

We address the different "personalities" of the rational number and the concept of proportionality, analyzing the possibilities for using the Mathematics Teaching and Learning through Problem-solving Method. This method is based on the principle that knowledge can be constructed through the use of problems that generate new concepts and new contents. The different meanings of rational number - rational point, quotient, fraction, ratio, and operator - are constructs that depend on mathematical theories in which they are imbedded and the situations that evoke them in problem-solving. Some data will be presented from continuing education courses for teachers, aiming to contribute to understanding regarding the different "personalities" of the rational number. In general, these "personalities" are not easily identified by teachers and students, which is the reason for the many difficulties encountered during problem-solving involving rational numbers. One of these "personalities", the ratio, provides the basis for the concept of proportionality, which is relevant because it is a unifying idea in mathematics.

Características dos Problemas que os Alunos Constroem a partir do Enunciado de uma Questão Aberta de Matemática

The present paper shows characteristics of problems that students in the 4(th), 8(th), and 12(th) grades built in response to the enunciation of an open-ended question, taken from their written work in the common question of AVA-2002 (Parana State Large-Scale Assessment-2002). These problems are characterized, in part, by a linear resolution structure constituted based on students' interpretation of individual bits of information contained in the enunciation, one by one, without establishing relations between them; and partly by a non-linear resolution structure constituted based on relations established among the bits of information in the enunciation. Analysis of students' written work is one alternative for teachers to know students' mathematical activity, as well as their particular ways of interpretating enunciations.

O intuitivo e o lógico no conhecimento matemático: análise de uma proposta pedagógica em relação a abordagens filosóficas atuais e ao contexto educacional da matemática

In this paper, we consider Meneghetti & Bicudo's proposal (2003) regarding the constitution of mathematical knowledge and analyze it with respect to the following two focuses: in relation to conceptions of mathematical knowledge following the fundamentalist crisis in mathematics; and in the educational context of mathematics. The investigation of the first focus is done analyzing new claims in mathematical philosophy. The investigation of the second focus is done firstly via a theoretical reflection followed by an examination of the implementation of the proposal in the process of development of didactic materials for teaching and learning Mathematics. Finally, we present the main results of the application of one of those materials.

Análise de textos didáticos de Matemática: um mapeamento e uma proposta metodológica fundada numa perspectiva hermenêutica

This article discusses some methodological possibilities for analyzing textbooks in Mathematics Education. Its starting point was a review - which allowed us to build a general map - of the production developed by consolidated Research Groups that deal with this theme in Brazil. This map allowed us to propose a complementary/alternative guide to analyse textbooks according to a hermeneutical approach.

O modelo de Romberg e o percurso metodológico de uma pesquisa qualitativa em educação de uma pesquisa qualitativa em educação

The objective of this study is to present the trajectory of a research project (ALLEVATO, 2005) whose phenomenon of interest is the teaching of mathematics using problem solving with computers. The text is an attempt to portray this trajectory, from the point of view of the methodological route followed by the researcher, which was based on two main axes: the guidance of the educator Thomas A. Romberg (1992), and the guidelines provided by the foundations of qualitative research. The study was developed during a doctoral course offered by the Graduate Program in Mathematics Education at the State University of São Paulo (UNESP), Rio Claro campus.

História na Educação Matemática – um estudo sobre trabalhos publicados no Brasil nos últimos cinco anos

In this paper we report a study on research in the field of History in Mathematics Education conducted in Brazil in the last five years. We evaluate studies that are theoretical or report experiences on the support found in history that can contribute to the situations of teaching and learning of mathematics, based on the Proceedings of Seminarios Nacionais de Historia da Matematica and Encontros Luso-Brasileiros de Historia da Matematica. Examining the interests, directions and focus of research in the field, we found that the vast majority of studies address specific issues of History of Mathematics, and the number of studies on History in Mathematics Education is still very low. We note that, in the last five years, the arguments in favor of the teaching potential of the History of Mathematics, which is very present in the speech of teachers and managers of public education, has not yet been materialized in experiments or investigations to promote this link effectively.

How to drag with a worn-out mouse? Searching for social justice through collaboration

We consider what a concern for social justice in terms of social inclusion might mean for teacher education, both practising and prospective, with particular reference to the use of information and communication technology (ICT) in mathematics education taking place at a borderland school. Our discussion proceeds through the following steps: (1) We explore what a borderland position might denote to address what social inclusion might mean. (2) We consider the significance of mathematics education and the use of ICT for processes of social inclusion. (3) We briefly refer to the Interlink Network, as many of our observations emerge as reflections on this project. (4) We present different issues that will be of particular importance with respect to teacher education if we want to establish a mathematics education for social inclusion. These issues concern moving away from the comfort zone, establishing networks, identifying new approaches, moving beyond prototypical research, and getting in contact. This brings us to (5) final considerations, where we return to the notion of social justice. © Springer Science+Business Media B.V. 2009.

A competência em informação na televisão universitária: Reflexões e contribuições iniciais ao contexto brasileiro

The university television station is a communication vehicle that incorporates principles of social structure from the diffusion of culture, knowledge and education dissemination which may lead to the formation of behaviors and opinions instilling critical thought in individuals and promoting the dialogue between society and university by disseminating the knowledge produced in the academic environment. In this way it is pertinent to know and understand the information literacy of professionals working in this context when it comes to content production for university television station. For this initial discussion are addressed the concepts of university television station as well information literacy in order to establish relations between the two thematic mentioned, the relevance of studies in this scenario in relation to the Information Science context.

A Pesquisa sobre o ensino de probabilidade e estatística no Brasil: Um exercício de metacompreensão

This article presents an exercise in meta-comprehension of what has been researched on teaching probability and statistics in Brazil. This research was based on the work on this subject presented in the third International Symposium for Research in Mathematics Education (III SIPEM). Articles were selected from the proceedings of the event analyzed hermeneuticly according to the procedures of phenomenology. We observed no evidence of clustering of research on this topic in terms of region or institutions, and we also emphasize that research on the teaching of Probability and Statistics needs to advance toward a theoretical discussion that transcends the subjects being studied and makes broader and deeper links between theory and practice. Findings also indicate that this sub-area of research in mathematics education is in the process of constituting itself.

Pesquisando Práticas e Táticas em Educação Matemática

The present article, which is one study among others, seeks to understand practices and tactics of day-to-day school, spanning and being spanned by three studies in Mathematics education. The diversity of scenes, people and strategies used by actors in everyday school, considered from the theoretical perspectives of Foucault and Deleuze, shed light on the ways Mathematic alphabetization takes place and evidence regarding what is present in the black box of school culture, in a constant problematization about what a school can do. Maps are presented that establish cartographies, revealing smooth and striated territories, on a path created by the research done in those schools, where life is always invented.

Calculadoras, Computadores e Internet em Educação Matemática: dezoito anos de pesquisa

In this paper, we present GPIMEM, a group that has been developing research in Mathematics Education related to computers and other media since 1993 to understand how mathematical knowledge can be produced with these technological resources, in face-to-face as well as online distance education. Members of the group dialogue with different fields of knowledge such as philosophy, history, psychology, anthropology, sociology, arts and technology, among others, to inform their research. The research addresses various topics relevant to Mathematics Education, including methodological and epistemological aspects of teaching and learning, of mathematical modeling and teacher education, always within a qualitative research perspective. We begin with the historical presentation of the group, revealing its dynamics and organization of work, followed by reflections on qualitative research methodology and description of research conducted over the past five years. Finally, we present a synthesis of the theories developed by the group and expectations for the future.

Itinerários do Grupo de Estudo e Pesquisa em Etnomatemática e sua Relação com a Educação Matemática

This paper outlines the formation, dynamics and some of the paths taken by the Research and Study Group on Ethnomathematics and its relationship with the Graduation Program in Mathematics Education, presenting a history of its formation, its knowing, its doing and its way of being together, and presenting an overview of the research carried out by its members. This paper also addresses the relationship between the group itself with themes within ethnomathematics, highlighting that the group is a space for collective education and cooperative self-education, which takes place through exchange of experiences, sharing of knowledge and in debates and discussions, from being in a group, respecting the reciprocity and valuing alterity, key aspects of ethnomathematics education.