Um estudo sobre a aprendizagem de alguns conceitos algébricos e geométricos

The objective of the present work was develop a study about the writing and the algebraic manipulation of symbolical expressions for perimeter and area of some convex polygons, approaching the properties of the operations and equality, extending to the obtaining of the formulas of length and area of the circle, this one starting on the formula of the perimeter and area of the regular hexagon. To do so, a module with teaching activities was elaborated based on constructive teaching. The study consisted of a methodological intervention, done by the researcher, and had as subjects students of the 8th grade of the State School Desembargador Floriano Cavalcanti, located on the city of Natal, Rio Grande do Norte. The methodological intervention was done in three stages: applying of a initial diagnostic evaluation, developing of the teaching module, and applying of the final evaluation based on the Mathematics teaching using Constructivist references. The data collected in the evaluations was presented as descriptive statistics. The results of the final diagnostic evaluation were analyzed in the qualitative point of view, using the criteria established by Richard Skemp s second theory about the comprehension of mathematical concepts. The general results about the data from the evaluations and the applying of the teaching module showed a qualitative difference in the learning of the students who participated of the intervention

Educar para o lar, educar para a vida :cultura escolar e modernidade educacional na Escola Doméstica de Natal (1914-1945)

La recherche propose un nouveau regard sur l Institution Scolaire École Doméstica de Natal, en essayant de tenir compte de la multiplicité des auteurs et des pratiques développées à l école qui définissaient le mieux et expliquaient les phénomènes de cette réalité éducative et des rapports avec le temps et le lieu où elle s insérait. Pour ce faire, les concepts de mémoire et culture scolaire ont été fondamentaux pour la compréhension de ces pratiques, parce qu ils ont contribué à notre lecture historique-culturelle de l ensemble d aspects institutionnalisés à l école, comme son curriculum, ses finalités, ses façons d enseigner et d apprendre, ses règles de conduite, ses normes, enfin, ce qui caractérisait son organisation et ses pratiques quotidiennes. C était l École Doméstica de Natal l institution pionnière dans le modèle d éducation féminine au Brésil, nous le reconnaissons en priorité et nous visons à le circonscrire à son indélébile contribution à l Histoire de l Éducation de Rio Grande do Norte. Conçue par un modèle d organisation scolaire européen pour l éducation féminine, l École Doméstica de Natal a été inaugurée en 1914, en ayant comme créateur l intelectuel de Rio Grande do Norte Henrique Castriciano de Souza. Sa singularité, s opposant aux écoles féminines existantes au Rio Grande do Norte et au Brésil en ce temps-là, était dû au modèle scolaire adopté, qui appuyait sur la formation d une femme préparée à répondre aux aspirations modernes surgissant avec l avènement de la République. Ce contexte exigeait de l école la formation d un modèle de femme dans les aspects moral, physique, culturel et intelectuel modelés sur les idéaux de l ordre et du progrès. Ce serait une nouvelle méthode d éducation scolaire qui pourrait favoriser la modernisation des anciennes méthodes d enseignement, provoquant le surgissement de modèles qui impliqueraient une nouvelle organisation pédagogique aux écoles de l`État et conduiraient la ville à de nouveaux et hauts paliers de culture et civilité. Avec cela, l école contribuerait à ce que la femme joue un rôle dans la société d une manière plus active, sociale et mieux adaptée. Les mots ordre, nouveau, civilité, moderne et progrès se répandaient et s entrecroisaient avec des valeurs archaïques toujours permanentes et enracinées dans la vision de vie et l idée de monde d alors. Ainsi, on voyait que l École Doméstica était une institution modèle, spécifique dans sa fonction, qui apporterait à la ville et, particulièrement au Rio Grande do Norte, des idées de civilité, ordre et progrès

Conceitos e práticas educativas nos regimentos escolares no Rio Grande do Norte (1910 1930)

This research aims to analyze the concept of childhood in the dimension of educational practice, which is present in the regimental school and historically constructed power relations during the period 1910 to 1930, in Rio Grande do Norte. To contextualize this study, it is necessary to address the Bylaws of the School Groups (1915), the Internal Isolated Schools (1925) and Education Reform (1916). The expansion of education in the State, aiming at preparing the individual for the new capitalist social order was the concern of all governments of the first republic. During this period, the school is conceived as a privileged scenario of a set of practices aimed at disciplining the children, to explore, in some respects, the concept of childhood. Over time, this cocepção was constructed historically. In addition, the school receives children, which in the late nineteenth and early twentieth century, are inserted into an educational process in line with the state, embodied in laws, regulations and school discursive practices

Luiz Antônio dos Santos Lima e o seu legado educacional (Natal/RN, 1910-1961)

This research aims to analyze the intellectual practice of Luiz Antônio Ferreira Souto dos Santos Lima. This is done considering the author´s legacy related to the History of Education in Rio Grande do Norte/Brazil in the time span of 1910 to 1961. Thus, the research is grounded on assumptions that rely on the Cultural History field. The research also dealt with dialogues between the author and Chartier (1990), Elias (1994), Morais (2003; 2006), as well as Gondra (2003). For the bibliographical research the work dealt with a vast array of documents such as newspapers called A República and Diário do Natal, Pedagogium, Revista do ensino, as well as state laws and decrees These documents were obtained at the Historical and Geographical Institute in Rio Grande do Norte. The research also dealt with School Bylaws and a medical doctoral thesis called Mental Hygiene and Education that was written by Luiz Antônio dos Santos Lima. Other documents were obtained at the State´s Public Archive, such as the Book of Honor, Work Records, Reports and Minutes of the General Directorate of Public Instruction Meetings. It was possible to infer that professor Luiz Antônio dos Santos Lima was teacher at Grupo Escolar Augusto Severo, the Atheneu as well as some local grade schools. The professor had a broad role in society, in administrative positions such as the Presidency of the Association of Teachers of Rio Grande do Norte, as Grade School Director in the School of Pharmacy and the State Education Department. He was also a member of the Academy of Arts and a partner at Historical and Geographical Institute in Rio Grande do Norte. The professor has also concerned with issues related to teaching good habits such as feeding, grooming, discipline, game morals, temperance, smoking, sex education; all of which necessary for the formation of healthy children. He was an enthusiast of an intuitive method and teaching lessons through practice, that he considered key elements in education. It is seen that professor Luiz Antônio dos Santos Lima had presence in the State´s health education and that his ideals were line with the ideal of modernity of the early twentieth century

A Compreensão da idéia do número racional e suas operações na EJA: uma forma de inclusão em sala de aula

The awareness of the difficulty which pupils, in general have in understanding the concept and operations with Rational numbers, it made to develop this study which searches to collaborate for such understanding. Our intuition was to do with that the pupils of the Education of Young and Adults, with difficulty in understanding the Rational numbers, feel included in the learning-teaching process of mathematics. It deals with a classroom research in a qualitative approach with analysis of the activities resolved for a group of pupils in classroom of a municipal school of Natal. For us elaborate such activities we accomplished the survey difficulties and obstacles that the pupils experience, when inserted in the learning-teaching process of the Rational numbers. The results indicate that the sequence of activities applied in classroom collaborated so that the pupils to overcome some impediments in the learning of this numbers

Geometria e arirmética numa visão multicultural: uma experiência pedagógica

This paper aims to build a notebook of activities that can help the teacher of elementary school mathematics. Topics covered are arithmetic and geometry and the activities proposed here were developed aiming print them a multicultural character. We take as a base line developed by Claudia Zaslavsky multiculturalism and reflected in his books "Games and activities worldwide" and "More games and activities worldwide." We structure our work around four themes: the symbol of the Olympic Games, the pyramids of Egypt, the Russian abacus abacus and Chinese. The first two themes allow you to explore basic concepts of geometry while the latter two themes allow us to explore numerical notation and arithmetic operations

A etnomatemática dos trabalhadores das cerâmicas de Russas-Ce e o contexto escolar: delineando recomendações pedagógicas a partir de uma experiência educacional

It is still common among contemporary educational proposals an overemphasis abstraction, to the formalism and symbolism of mathematical knowledge at the expense of the sociocultural aspects of Mathematics. Coming up by questioning some academic mathematical tenets and valuing knowledge developed in different sociocultural contexts within Mathematical Education, the Ethnomatematics is consolidating itself as a research field. Despite its contributions to the educational context, because its philosophical character and the paucity of debates about the subject, the implementation of educational proposals for basic education are scarce. Given this situation, this dissertation comes up with a view to develop an educational intervention in the light of Ethnomathematics in a class of 6th grade of an elementary school from a red ceramic industries workers community, located in a countryside from Russas-CE and from this intervention, to develop a set of pedagogical recommendations aiming basic education teachers. Adopting a perspective of qualitative research, particularly guided by action research, this study used observation, field diary, interviews and activities with students as tools for data collection. It was found that the use of field research as part of teaching and learning favored the placement of students as critical subjects of their own reality . Furthermore, the educational experience culminated in the development of a method of teaching based on a relationship between protocooperational Ethnomatematics and the Resolution of Problems. It is necessary to broaden the debate about the ways in which the Ethnomatematics can contribute to the school context, bringing proposals closer to the reality of basic education teachers in order to help the promotion of an education which values cultural diversity without taking away the students from the access of the academic knowledge

Dificuldades na construção de gráficos de funções

This study describes about graduation s students difficulties of to draw functions graph. Specifically, we intend to observe their abilities evolution, as well as their difficulties during Calculus I subject in engineering course. For that, we show them publications about the elaboration of graphs and its difficulties in obstacle terms and some researches witch contain this subject and that it was done during postgraduate studies in mathematical education. It shows by research methodology aspects related to French didatic s mathematic and some theories of cognitive psychology considering the high value between theoretical-methodological relation that was evidenced in both theoretical conceptions about ways to understand and teach mathematic. This methodology is based on didactic engineering purpose, that consist in preliminaries analysis, conception and didactic sequence analysis prior, trials by application followed analysis up and conclusion. We had also used pedagogicals actions and analysis of results achieved, to classify types of errors made by the 2005 s students during second semester, from conceptions related to the episthemologic and didactics obstacles

Memórias de uma Escola Isolada Rural: estudo de um Livro de Visitas (1928-1948)

Cet article étudie le livre de visites de l'ancienne école mixte de la Fazenda Ponte Alta/Bela Vista, liée au groupe scolaire de la ville de Bariri, dans l'état de São Paulo (SP). À partir des registres de vingt ans d'activités (1928-1948), nous retraçons les exigences des inspecteurs primaires et si ces exigences provenaient (ou non) de professeurs et de la communauté paysanne pour ébaucher un cadre socio-historique de l'enseignement des premières lettres dans la zone rurale de l'intérieur de l'état de São Paulo. Il en résulte que le discours qui défendait l'égalité de chances pour les populations urbaines et rurales négligeait généralement le besoin de promouvoir l'égalité de conditions pour que la communauté rurale puisse profiter des chances qui lui étaient promises.

A instrução pública na França revolucionária: considerações a partir do Essais Sur L'enseignement En General Et Sur Celui Des Mathématiques En Particulier, de Sylvestre-François Lacroix

L'article présente le livre Essais sur l'enseignement en général, et sur celui des mathématiques en particulier de Sylvestre-François Lacroix, à l'origine publié en France en 1805, mettant l'accent sur sa première partie, dans lequel l'auteur traite de l'instruction publique, et en particulier des écoles centrales crées pendant la Revolution Française pour remplacer des colléges et des facultés des arts des anciennes universités.

Leitura e Interpretação de Dados Prontos em um Ambiente de Modelagem e Tecnologias Digitais: o mosaico em movimento

Neste artigo, analisamos a leitura e a interpretação de dados prontos coletados por alunos para desenvolverem projetos de modelagem. Consideramos dados prontos as informações coletadas na Internet, como um gráfico ou uma fórmula, sem maiores explicações de como foram geradas. Com isso, repensamos o mosaico de pesquisas do GPIMEM, grupo de pesquisa ao qual pertencemos e que desenvolve pesquisas sobre modelagem e informática há cerca de vinte anos. Na análise, privilegiamos a apresentação oral e o relatório escrito de um grupo de alunas do Curso de Ciências Biológicas da Universidade Estadual Paulista (UNESP). Os dados prontos sugerem uma nova faceta na relação entre tecnologias digitais e modelagem: eles parecem ser tratados de maneira idêntica a dados empíricos usualmente coletados em outros trabalhos de modelagem encontrados na literatura. Assim, o mosaico de pesquisas sobre o tema ganha novas dimensões na medida em que a Internet parece modificar a própria noção do que são dados.

Cultura pedagógica e formação de professores: a biblioteca da escola normal de Piracicaba (1911-1920)

Cet article a pour objet la Bibliothèque de l'École Normale de Piracicaba, à l'intérieur de São Paulo, entre les années 1911 et 1920, parce qu'elle représente un lieu de formation d'enseignants et organisation de culture pédagogique. Cette Bibliothèque qui a été constituée au long du cycle de vie de l'École Complémentaire de Piracicaba (1896-1911) et officialisée à partir de 1911 aura le rôle d'organiser et disséminer une certaine culture pédagogique en raison de sélectionner, trier et distribuer un ensemble de connaissances propres à la profession enseignante. Elle symbolise un espace de formation de l'enseignant de l'École Normale et de l'élève-lecteur. L'étude de la culture pédagogique se concentre sur l'analyse de cette bibliothèque.

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.

A teoria educacional no Ocidente: entre modernidade e pós-modernidade

O artigo trata das principais forças em filosofia da educação no Ocidente Moderno e Contemporâneo. Particularmente, destaca a posição do Brasil nos últimos anos, dado que localiza na contribuição de Paulo Freire, junto com o alemão Herbart e com o norte-americano Dewey, a formulação das linhas mestras da pedagogia moderna. O texto também faz menção ao trabalho atual do neopragmatismo, sob o qual nasce a filosofia da educação inspirada nos filósofos norte americanos Richard Rorty e Donald Davidson, que revolucionam atualmente não só a filosofia mas seus campos aplicados, como o direito, a religião, a política e, como não poderia deixar de ser, a educação.

Teatro Ventoforte de 1985 a 1995: a formação de um artista e arte-educador

Pós-graduação em Artes - IA