Investigação histórica na formação de professores de matemática: um estudo centrado no conceito de função

In this study we analyzed the development of a teaching experience, involving students with a bachelor s degree in mathematics from UFRN, based on the history of mathematics and mathematical investigations with the aim of contributing to the improvement of the teaching-learning of mathematics. The historical investigation tasks were planned and applied in the classroom, focusing on functional thought. The results obtained during the experience were described and evaluated based on authors who support the assumption of investigation and history as an alternative to the learning of mathematics. We emphasize that the material of analysis consisted of a work diary, audio recordings, questionnaires with testimony of the students involved, and, in addition, the assessment of the teacher of that subject. With regard to the mathematical content, the study was restricted to the concept of function, forms of representation and notation. It was evident that students showed great improvement with regard to the necessary formalization of the mathematical contents which were focused on, and to the active involvement of the students at different stages of the study. We can affirm that the completed study certainly represents significant contributions to an approach in the teaching-learning of functional thought

Uma abordagem histórica para o ensino do princípio da inércia

Placed in the field of Didactic of Science, this paper proposes an approach to the introduction of the History of Science in science education, at high school level. It was designed and implemented a series of activities regarding the history of the Principle of Inertia. The aim of this approach was to give more meaning to scientific education, while opening new avenues for a better understanding of the processes of construction of scientific knowledge. The preparation of the activities involved a study of the historical development of the concept of motion, from the Aristotelian physics through physical movement concepts at medieval period, from Galileo, Gassendi, Descartes, until the first law of Newton. The strategy of teaching was applied to three classes of high school (night period) of a state public school at the city of Natal (RN). The results indicated the difficulty of overcoming alternative conceptions about movement by students. Nevertheless, we consider that the implementation of this strategy of teaching both represented gains for the learning of students, and contributed to the resizing of pedagogical practices of the teacher-researcher

Uma investigação histórica sobre os logaritmos com sugestões didáticas para a sala de aula

This study was conducted from a preliminary research to identify the conceptual and didactic approach to the logarithms given in the main textbooks adopted by the Mathematics teachers in state schools in the School of Natal, in Rio Grande do Norte. I carried out an historical investigation of the logarithms in order to reorient the math teacher to improve its educational approach this subject in the classroom. Based on the research approach I adopted a model of the log based on three concepts: the arithmetic, the geometric and algebraic-functional. The main objective of this work is to redirect the teacher for a broad and significant understanding of the content in order to overcome their difficulties in the classroom and thus realize an education that can reach the students learning. The investigative study indicated the possibility of addressing the logarithms in the classroom so transversalizante and interdisciplinary. In this regard, I point to some practical applications of this matter are fundamental in the study of natural phenomena as earthquakes, population growth, among others. These practical applications are connected, approximately, Basic Problematization Units (BPUs) to be used in the classroom. In closing, I offer some activities that helped teachers to understand and clarify the meaningful study of this topic in their teaching practice

Elaboração e aplicação de uma sequência de atividades para o ensino da trigonometria numa abordagem histórica

The present work aims to report the construction of a workbook for teaching trigonometry focusing the possible mix between the historical approach to the teaching of mathematics and the professional master´s degree. For this, considerations about the history of mathematics as a teaching methodology, the education of the math teacher who will teach trigonometry and also about the course of elaboration and experimentation of the activities in the workbook were made (using the methodological strategy of action research). Finally, the workbook for the teaching of trigonometry in a historical approach is presented as an example of the above mentioned mix between the history of mathematics, mathematical school content and the professional master´s degree

Propriedades dos sistemas de numeração: uma sequência didática em uma abordagem histórica

This paper aims to describe the construction and validation of a notebook of activities whose content is a didactic sequence that makes use of the study of ancient numbering systems as compared to the object of our decimal positional numbering system Arabic. This is on the assumption that the comparison with a system different from our own might provide a better understanding of our own numbering system, but also help in the process of arithmetic operations of addition, subtraction and multiplication, since it will force us to think in ways that are not routinely object of our attention. The systems covered in the study were the Egyptian hieroglyphic system of numbering, the numbering system Greek alphabet and Roman numbering system, always compared to our numbering system. The following teachung is presented structured in the form of our activities, so-called exercise set and common tasks around a former same numbering system. In its final stage of preparation, the sequence with the participation of 26 primary school teachers of basic education

Atividades estruturais de equações polinomiais numa abordagem histórica por meio de e-book

The present study investigates how the inter-relationship of the content of polynomial equations works with structured activities and with the history of mathematics through a sequence of activities presented in an e-book, so that the result of this research will proceed will result in a didactic and pedagogic proposal for the teaching of polynomial equations in a historical approach via the reported e-book. Therefore, we have considered in theoretical and methodological assumptions of the History of Mathematics, in structured activities and new technologies with an emphasis on e-book tool. We used as a methodological approach the qualitative research, as our research object adjusts to the objectives of this research mode. As methodological instruments, we used the e-book as a synthesis tool of the sequence of activities to be evaluated, while the questionnaires, semi-structured interviews and participant observation were designed to register and analyze the evaluation made by the research, participants in the structured activities. The processing and analysis of data collected though the questionnaires were organized, classified and quantified in summary tables to facilitate visualization, interpretation, understanding, and analysis of these data. As for participant observation was used to contribute to the qualitative analysis of the quantified data. The interviews were synthetically transcribed and qualitatively analyzed. The analysis ratified our research objectives and contributed to improve, approve and indicate the use of e-book for the teaching of polynomial equations. Thus, we consider that this educational product will bring significant contributions to the teaching of mathematical content, in Basic Education

O processo de constituição histórica das diretrizes curriculares na formação de professores de Educação Física

Os processos históricos que permeiam as diretrizes curriculares possibilitaram enxergar quais são as idéias e as preocupações para com a formação de professores no âmbito da Educação Física. Dentro desse contexto, o objetivo foi averiguar, nas políticas públicas de formação de professor dessa disciplina, como ocorreu o processo de qualificação e certificação, buscando entender as justificativas que orientaram a regulamentação dos normativos legais de 1939 a 2004. Portanto, trata-se de um estudo descritivo, de análise qualitativa, tendo como fonte primária as Diretrizes Curriculares veiculada pela imprensa oficial. As novas Diretrizes Curriculares (Resoluções CNE/CP 01/2002, 02/2002 e 7/2004) apontaram perspectivas na formação de um professor mais qualificado para o seu campo de atuação, priorizando a questão da dimensão política da profissão, das competências e do corpo de conhecimento da área. Embora haja progressos em relação aos normativos anteriores, chama-se atenção para a necessidade de que as propostas em construção façam a mediação entre a proposta atual, o percurso histórico do próprio curso e a relação teoria-prática, visando o equilíbrio na formação. A proposta das novas diretrizes não deixa de evidenciar avanços significativos no horizonte da profissionalidade docente e da identidade profissional docente. da mesma forma, para o leitor ou estudioso atento, não deixa de causar preocupação o excesso de competências técnicas colocadas, passando-se a impressão de que agora o que vale é o primado do saber fazer.

Um lugar (in)existente: o "país" de Mossoró" nas tramas da consciência histórica

This work aims to analyze, on the one hand, how the academy has created the spatial term the country of Mossoró and, on the other hand, is to discover, by the teachers testimony, how the History teaching works with this spatiality. The academic production in Mossoró-RN, particularly during the last two decades of the century XX, focuses on the practices that built a historic memory based on political interests of the Rosado family. Therefore, this work is divided in three chapters. In the first one, we identify how the academic production has created a group of meanings related to the country of Mossoró , because it is a way to realize how this place is seeing and understand. In the second one, there is an explanation about the ideology concepts, that structure meanings created by the academic production, as well as the historic conscience that is used to think about the dynamic of teaching History. In the third, we analyze how teachers, expressing their historic conscience, figure meaning to this country of Mossoró

Educação científica e atividade grupal na perspectiva sócio-histórica

Este trabalho apresenta questões relativas à educação científica e à atividade grupal ou coletiva, na perspectiva da abordagem sócio-histórica do desenvolvimento humano e do ensino científico presente nas obras dos russos L.S. Vigotski e A.N. Leontiev. Fundamentalmente, buscaremos estabelecer essa relação a partir da proposta de Zona de Desenvolvimento Próximo realizada por Vigotski, em que o autor enfatiza o papel da imitação e da cooperação no alcance de novos níveis de desenvolvimento, processo subsidiado pela instrução, tendo como mediação o educador.

Crecimiento, desequilibrio y disparidades: interpretación del proceso de desarrollo económico

Documento en inglés (88751) y también en portugués: Interpretação do proceso de desenvolvimento econômico da América Latina. Estudos Econômicos, São Paulo, v, 1, No 3-4, p. 271-308, setembro e dezembro 1950; y en Revista Brasileira de Economia, Rio de Janeiro, año 5, No 1, p. 7-135, março 1951, con un resumen en inglés y francés, p. 117-135 (78593); y también en Prebisch, Raúl: Interpretación del proceso de desarrollo latinoamericano en 1949. Santiago, CEPAL, 1973, p. 1-92, Serie conmemorativa del XXV aniversario de la CEPAL, febrero 1973 (8962); y en Gurrieri, Adolfo, comp.: La obra de Prebisch en la CEPAL. México, DF, Fondo de Cultura Económica, 1982, Tomo I, p. 156-247, Lecturas, No 46 (11934), ingresado en Biblioteca

La perspectiva histórica y el pensamiento contemporáneo sobre el desarrollo: una reflexión desde América Latina

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El fomento a la industria naciente desde una perspectiva histórica: ¿una cuerda con la cual ahorcarse o una escalera por la cual escalar?

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Avances en la interpretación ambiental del desarrollo agrícola de América Latina

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Interpretación ambiental del desarrollo de la agricultura latinoamericana

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