As Memórias de Lacroix: a instrução pública na França revolucionária, em geral, e o ensino de Matemática, em particular

O artigo - um exame hermenêutico do livro Essais sur l'enseignement en général, et sur celui des mathématiques en particulier, de 1805, de Sylvestre-François Lacroix, enfatizando sua segunda parte, na qual o autor discute seu Curso de Matemática Elementar, uma série de manuais escolares elaborados para a Escola Central das Quatro Nações - tem sua fundamentação ligada à Hermenêutica de Profundidade de Thompson conjugada a procedimentos de investigação textual sugeridos por Genette quanto aos paratextos editoriais. Defende que o livro de Lacroix é uma obra auto-referencial, de cunho claramente autobiográfico, que responde mais aos ideais iluministas da França do Setecentos que às perspectivas do século XIX, quando a obra circulou, tendo sido reeditada por quatro vezes, sob Napoleão, na primeira metade do Oitocentos. Raramente focalizado em trabalhos de pesquisa, o livro - cujas edições estão disponíveis eletronicamente - tem uma única tradução, ainda inédita, para o português.

Um ensaio sobre as concepções de professores de Matemática: possibilidades metodológicas e um exercício de pesquisa

Este artigo tem como tema principal as concepções dos professores de Matemática. Considerando o termo concepção a partir do pragmatismo de Peirce, elabora-se um conjunto de parâmetros metodológicos - chamado de método indireto - a ser aplicado no estudo das concepções de professores de Matemática. Trata-se, em síntese, de investigar as concepções dos professores interpelando-os não sobre suas crenças, mas sobre suas práticas. Fundamentando essa abordagem indireta e explicitando-a em sua natureza qualitativa, o artigo segue apresentando, como exemplo, um exercício desse método indireto: um estudo sobre os critérios que os professores utilizam quando escolhem livros-texto para sua sala de aula, abordando, conseqüentemente, quais concepções de Matemática e de seu ensino e aprendizagem tais critérios desvendam. Partindo de depoimentos de professores de Matemática, o estudo indica que os professores agem com certa independência quando escolhem os materiais utilizados em suas atividades docentes. Buscam, ao mesmo tempo, apoio em uma vasta gama de livros didáticos, desconsiderando as particularidades de cada obra e as abordagens e perspectivas defendidas por seus autores. Embora submetam-se ao livro didático - considerado uma referência legítima e segura -, os professores o subvertem, buscando adequá-lo ao que consideram correto. Dessa constatação, algumas das concepções dos professores podem ser realçadas: o aluno, via de regra, é avaliado e classificado pelas lacunas que apresenta em relação aos conteúdos. Dessa postura, segue a valorização da precedência lógica dos conteúdos, de sua apresentação linear, e a defesa de pré-requisitos que viabilizariam o ensino e, conseqüentemente, implicam a legitimidade de aulas predominantemente expositivas.

A method for plotting the complementary root locus using the root-locus (positive gain) rules

The root-locus method is a well-known and commonly used tool in control system analysis and design. It is an important topic in introductory undergraduate engineering control disciplines. Although complementary root locus (plant with negative gain) is not as common as root locus (plant with positive gain) and in many introductory textbooks for control systems is not presented, it has been shown a valuable tool in control system design. This paper shows that complementary root locus can be plotted using only the well-known construction rules to plot root locus. It can offer for the students a better comprehension on this subject. These results present a procedure to avoid problems that appear in root-locus plots for plants with the same number of poles and zeros.

Pistas orgânicas: uma atividade lúdica para o ensino das funções orgânicas

Educational games can work as a complementary tool in teaching and learning chemistry, playing an important role in the development of the students cognitive structures, familiarizing them with certain conceptual content, which may arouse interest in the study of such content. In this work, we made an analysis of organic chemistry textbooks recommended by Programa Nacional do Livro Didático 2012, for high school students in order to verify the existence of methodological proposals using educational games. From this analysis, we proposed an educational game to be developed for students on 3º year of high medium and undergraduate chemistry, that are in 1º semester of the course, which is constituted of a tray and 48 letters, which work various concepts concerning organic functions, such as: structural characteristics, physical properties, chemical and properties diverse of the compounds used for the confection of the letters. The game was applied to a class degree in chemistry, period 2012.1 to a Federal Education of Rio Grande do Norte and a group of students of the 3rd year of the state schools of Rio Grande do Norte, in the period the months of April and May 2012. The analysis of the performance of the game proposed was made using visual observations, photographic records and testimonials of students who participated in the games. The instrument used for the data collection was the student questionnaire, which was similar for both groups, differing only in the amount of questions, because one of them had one more question. During application of the game it was observed that it constitutes a dynamic strategy in the teaching and learning of chemistry concepts, given that students actively participated in the classes as well, demonstrated more motivation in the construction of concepts, furthermore, it was possible to observe evidence of other possibilities of the game. This could be verified through visual observations and testimonials at the end of each game, by reading the answers to the questionnaires

A energia e suas implicações no ensino-aprendizagem da química

The area of Education in Chemistry in Brazil has appeared over 30 years and its growth has been accelerated by the need of comprehension of the processes of teaching and learning in chemistry. Many researches, in this area, has among its investigation objects the teaching tools like teaching materials and the learning processes of students in high school and basic education, but when dealing with higher levels of education, they are seldom portrayed. This study aimed to investigate the General Chemistry textbooks with respect to approach the concept of energy; know the main ideas of graduate students in Chemistry on the relation of the concept of energy and chemical transformations; finally, developing a cicle of studies with the proposition of an approach wich inter-relate the concept of energy and its implications in the teaching-learning process of a chemical transformation. To do so, we used as instruments a questionnaire, press conference, conceptual map and experimental activities. All activities of the study cicle were videotaped and recorded, transcribed and the results organized in tables. For the activities of the study cicle texts that have been developed and inter-relating concepts of chemistry and energy, which in turn gave theoretical support to the activities in the cycle. In the analysis it was used as a theoretical content the analysis of Laurence Bardin. The results revealed that the analysis of the book might be perceived that not always the concept of energy is used in order to generate the abstract thought of chemical transformations, but that the main macroscopic thermodynamic variables are present in the explanation of these transformations. During the study cicle, were studied two chemical reactions: the first one, made possible to approach the macroscopic dimension to quantify the concept of energy and the second one, made possible to demonstrate the macro and microscopic dimension of the concept of energy during a chemical transformation. In all reactions proposed, students used, in most of the times, as explanations, only macroscopic observations of the reactions under study and failed to realize that the concept of energy can be used to explain macro and microscopic chemical transformation. As a final action of the study cicle, students requested further discussion, to clarify the link between the concept of energy and the meanings constructed in the process of studying the reactions. This is done through an oral explanation, during the cycle, and registered in this thesis and attempts to show the interrelationship existing conceptual

A contextualização e a interdisplinaridade no ensino de Química: uma analise de livros didáticos ACIDO-BASE e das propostas pedagógicas realizadas pelos docentes diante da temática

Nowadays, chemistry contents taught in high school continue to be presented in a fragmented and decontextualized manner by the teachers and the textbooks. Even though it is known that contextualization and interdisciplinary exchange play an important role in the process of Chemistry teaching/learning. Therefore, the present study aims at enlightening the importance of these methodological foundations in the learning of chemistry. The data acquisition about the subject Contextualization and Interdisciplinary Exchange involved in Chemistry Teaching was developed through bibliographical researches on chemistry textbooks, which focused on the analysis of the topics acid and base , since it is a theme studied throughout all three years of high school. The present study also developed questionnaires which were applied to analyze to what extent chemistry teachers are working in a contextualized and interdisciplinary manner throughout the process of Chemistry teaching/learning. The results obtained in the researches show that a contextualized and interdisciplinary teaching contributes to a more meaningful acquisition of chemistry knowledge, in a dynamic and interactive way, but there are still many roadblocks towards the achievement of this kind of Chemistry teaching/learning process

O uso de analogias para o ensino de equilíbrio químico no ensino médio: facilitação da aprendizagem ou transmissão de erros conceituais?

The use of analogies in high school is often useful for chemistry teaching, either on textbooks or by teachers in the classroom.This use is justified by the large number of abstract concepts that rules this course. Analogies are conceptualized by several authors, which converge on the idea that these are tools that seek a way to elucidate an unknown concept by comparing it to a familiar one, relating their similar and dissimilar features. An analysis on a survey of analogies found in high school chemistry textbooks and chemical equilibrium studies is performed in order to verify whether they are leading to misconceptions for their use by students and/or for their use by teachers in the classroom, or whether they promote a learning facilitation

Retention Systems to Implant-Supported Craniofacial Prostheses

Osseointegrated implants in craniofacial reconstructions improve prostheses retention and stability and comfort and safety for a patient. According to biomechanical principles, the treatment success regarding osseointegration maintenance depends on an adequate surgical technique associated to a retention system that provides favorable tension distribution to implants. Furthermore, patient expectation, esthetics, function, and anatomic limitations must be evaluated during treatment planning. Therefore, the aims of this study were to present available retention systems to implant-supported craniofacial prosthesis and to highlight the advantages, indications, and limitations. A literature review was conducted through a MEDLINE search. Sixteen articles and 2 textbooks met the inclusion criteria and were included in the review. It was concluded that the success of craniofacial rehabilitation with implants depends on an adequate surgical technique and an adequate selection of a retention system.

Educação ambiental e educação em valores em livros didáticos de ciências naturais

Os valores têm sido considerados importante conteúdo de ensino, sobretudo ao tratarmos de certas temáticas, como a ambiental. Procurando analisar o tratamento dado à dimensão valorativa da temática ambiental em três coleções de Ciências Naturais voltadas às séries finais do Ensino Fundamental verificamos a predominância da visão antropocêntrica, sendo a natureza valorizada em função de sua utilidade para o ser humano. O predomínio da valorização do conhecimento científico em detrimento de outras formas de conhecimento, da ação humana individual em detrimento da coletiva e a simples apresentação de leis ambientais foram outros aspectos problemáticos encontrados. Uma das coleções, entretanto, além de valorizar o trabalho coletivo dos alunos, também se destacou pela maior ênfase dada à dimensão estética, implicando uma visão de mundo menos utilitarista e um tratamento mais adequado do conteúdo valorativo da temática ambiental.

Uma discussão sobre as densidades de energia em ondas mecânicas unidimensionais

Estudam-se as médias temporais das densidades das energias cinética e potencial em ondas mecânicas unidimensionais. Demonstra-se que o movimento harmônico simples dos elementos do meio não é condição suficiente nem necessária para que aquelas médias sejam iguais. Isso contradiz as abordagens em textos de Halliday et al. e Nussenzveig.

A industrialização das editoras e dos livros didáticos nos Estados Unidos (do século XIX ao começo do século XX)

Cet article examine la création de l'industrie du livre didactique aux États-Unis à partir des années 30 du XIXe siècle. Dès les années 20 de ce siècle, des maisons d'éditions sises dans les villes de New York et Boston étaient déjà capables de publier différents types de livres didactiques et de petits livres pour enfants et de les vendre aux quatre coins du pays, où elles avaient détaché des fonctionnaires pour ce faire. À la fin de cette décennie, le processus de production s'est sophistiqué avec l'organisation et l'entraînement d'équipes spécialisées dans l'écriture de schoolbooks. Dans le sillage de ces premières maisons d'éditions, d'autres se sont affirmées et sont devenues des puissances nationales et internationales jouant un rôle décisif aussi bien dans l'américanisation des énormes vagues d'immigrants qui sont arrivées dans ce pays, dès la moitié du XIXe siècle, que dans celle des peuples soumis à la domination militaire ou économique des EUA.

Concepções pedagógicas e método de ensino: o manual didático Processologia na Escola Primária

Esse artigo analisa o manual didático Processologia na Escola Primária, de autoria de Caio de Figueiredo Silva, publicado em 1956, com o objetivo de compreender o processo de incorporação das concepções pedagógicas da Escola Nova nas prescrições para a prática pedagógica. O método empregado foi a análise do discurso expresso na fonte primária aliada a um conjunto de referências bibliográficas de cunho historiográfico que possibilitaram comentar o processo de inovação e permanência na educação, ressaltando as influências de tradições já estabelecidas e a importância dos textos didáticos como instrumentos mediadores para a difusão e circulação de idéias.

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.

Desenvolvimento da quantificacao em geografia

Considering the textbooks, papers and articles published during the last decades, this paper deals with the development of the quantitative analysis in Geography. The comments are grouped into the following thematic questions: contributions aiming to introduce concepts and techniques in the geographical issues, focusing statistical and mathematical background and specific techniques about spatial and temporal distributions; contributions evaluating the potentialities of the quantification; contributions showing the character and applicability of the quantificative techniques, and the state of the use of these techniques in Brazilian literature and teaching. -English summary

Fatoriais fixos desbalanceados: Uma análise mal compreendida

Few users of statistical packages are capable of analyzing unbalanced factorials properly, because introductory textbooks do not discuss this topic in detail. The present article is directed to agriculture researchers, with the purpose of clarifying the differences among several widely used programs. It shows how to test useful hypotheses about population means in models having qualitative and quantitative factors. The paper emphasizes the pitfalls of blindly applying packages without prior knowledge of the hypotheses being tested.