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.

Patrimônio, Memória e Espaço: a construção da paisagem açucareira do Vale do Ceará-Mirim

This work aims to understand how the installation of sugar culture along the river Ceará-Mirim defined the spatial organization of the Valley, and thus setting the landscape. This space has begun to be defined only in the second half of the nineteenth century, when the sugarcane growth had atarted on land located on the banks of the river Ceará-Mirim. The passage of this period of great prosperity can be seen through the heritage material which is still presented in the region. Walking through the Valley, we found a considerable number of architectural buildings, many in ruins, linked to this historical moment. This perception, caused by these buildings, will take us on a trip to the past, back to a time characterized by great-houses, mills, sugarcane plantations, planters, slaves, etc. The references that lead us to consider the sugar mills located along the valley of Ceará Mirim as a patrimony, which carry an entire historical baggage, guide us to the first half of the twentieth century. During this period, the role of intellectuals from the Rio - Sao Paulo through the modernist movement will be decisive in the formation of a national identity. The heritage material identified along the valley of Ceará Mirim defined its current spatial organization, setting the landscape. But we must conceive this landscape into two ways: first, as a material representation of social practices carried out in this space, where social, cultural, economic and environmental aspects have interacted to their training; as well as a landscape that carries a whole historical baggage which was built throughout the twentieth century

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.

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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El auge reciente de precios de los productos básicos en perspectiva histórica

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Notas sobre la evolución histórica de la población de América Latina hasta el siglo XIX

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