Origami: o uso como instrumento alternativo no ensino da geometria

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A interdisciplinaridade no ensino da matemática pela perspectiva da pedagogia histórico-crítica: superando a pedagogia de projetos

Pós-graduação em Docência para a Educação Básica - FC

Um microfone às formigas: crimes, narrativas e História

Some remarks on how Cultural History has been used in Mathematics Education are the main focus of this paper. It tries to discuss, basically, three works (In Cold Blood, by Truman Capote; O crime do restaurante chinês, by Boris Fausto; and Os protagonistas anônimos da História, de Ronaldo Vainfas) in order to present some perspectivas about narratives and textual elaboration in the field of Historiography.

Considerações sobre o uso da linguagem na sala de aula de Matemática

The main goal of this work is to build a sketch on how language is used in mathematics classrooms. We specifically try to understand how teachers use language in order to share meanings with their students. We initially present our main intentions, summarizing some studies that are close to our purposes. The two theoretical frameworks which support our study – the Model of Semantic Fields and the Wittgensteinian “games of language” – are then presented and discussed about their similarities and distinctions. Our empirical data are some classroom activities recorded and turned into “clips”. Such clips were transcribed and our analysis was based on these transcriptions. Data analysis – developed according to our theoretical framework – allowed us to build the so-called “events” and, then, comment on some understandings on how language can be used in mathematics classrooms.

Outras Inquisições: apontamentos sobre sistematizações, Hermenêutica e História Oral

The starting point of this paper are some avaliable analyses and characterizations about the academic production in History of Mathematics Education in Brazil. A specific reading of such readings – an hermeneutical approach of those avaliable reviews – allows us to put the focus on some features of Oral History thought as a qualitative methodological approach to researches in Mathematics Education.

Escola técnicas agrícolas: um estudo sobre ensino de Matemática e formação de professores

The central focus of this paper is to establish that the Brazilian Education Programa to prepare professionals in Technical-Agricultural Schools is suffering a kind of marginalization which comes from two distinct perspectives: the intention to prepare professionals (being a branch of Technical Education) and the relationship to the countryside (a community space historically seen as peripheral in its relation to urban culture). The paper discusses – from a historical and sociological point of view and using Oral History as methodological approach – the experiences of Math’s teachers in their daily struggles against some conceptions of other teachers (mainly those of technical areas) and against all the “regular” schooling system.

Registrar oralidades, analisar narrativas: sobre pressupostos da História Oral em Educação Matemática

The discussion about some features of the general framework which allows the use of Oral History in Mathematics Education is the main theme of this paper. Also the conception about what Oral History is, its theoretical baskgrounds, some of its purposes and the range of its results to Math Education research community are considered, as well the link between such method and the narratives, focusing what narratives are and how narratives can be analysed. A brief description of specific themes and researches developed in such approach, in Brazil, ends this article.

História oral em educação matemática: contribuições para um referencial

The main intention of this paper is to present how a Research Group in Mathematics Education – known as GHOEM, “Oral History and Math Education” Research Group – is taking Oral History into account in Mathematics Education researches, sometimes challenging and expanding this specific methodological approach in order to better answer questions in Math Education field. The composition of such group, as frequently occurs in a research community, is dynamic. So, the works taken into consideration in this paper were those written by researchers which were GHOEM members at the time they published their results.

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.

O saber escolar como parte das formas mais desenvolvidas de saber: a questão cultural na Educação Matemática

This article considers the scholastic knowledge as the expression of the most developed forms of knowledge in face of the actual development stage of the mathematics. Thus, it supports that the relation between the scholastic mathematics and the mathematics produced in different social contexts, comprises a relation between the most developed (scholastic knowledge) facing the least developed (knowledge acquired from diverse social contexts). For this reason, this work comprises some specificities of the socialhistorical development of the mathematics and the implications decurrent from this, in relation to the cultural aspect for teaching mathematics.

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.

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.