Submitted by Jorge Silva (jorgelmsilva@ufrrj.br) on 2018-06-13T18:03:48Z No. of bitstreams: 1 2017 - Marcos Paulo Henrique.pdf: 3532368 bytes, checksum: 3f54ade5dd907b58b5188d1e09da2e44 (MD5) / Made available in DSpace on 2018-06-13T18:03:50Z (GMT). No. of bitstreams: 1 2017 - Marcos Paulo Henrique.pdf: 3532368 bytes, checksum: 3f54ade5dd907b58b5188d1e09da2e44 (MD5) Previous issue date: 2017-01-27 / This investigation is focused on the development of activities, implementation (in the computer lab and in the classroom) and the analysis of learning of students in the 8th and 9th year of a public school in the city of Rio Claro (RJ). Specifically, the research considered the conceptual development in a teaching practice that values the dialogue, debate and writing, among other ways of registration, in a reflection with activities from the use of traditional GeoGebra (desktop) and GeoGebra application (version for smartphones). This analysis was not done to compare the two environments used, but identify contributions and challenges linked to the implementation of these resources for appropriation of knowledge. The concepts were polygons, regular polygons and parallel lines with a transverse. Data collection was carried out as follows: (a) audio recording, activities, geometric constructions files, photographic records and researcher's journal (implementation in the lab) and (b) audio and video recording, smartphones? screen capture used by students, and daily activities sheet of researcher (implementation in the classroom). In implementations of activities with computers, are highlighted the various forms of visualization and construction around the geometric object provided by dynamic geometry environment and mediation, as a tool of teaching work, as some contributions to the construction and development of the concept of regular polygon. It was observed during the implementation of the survey, some difficulties presented by the students related to handling of GeoGebra on a computer, as well as challenges to implementation of pedagogical practices in the computer lab, where multiple computers were defective. As contributions in the implementation of activities, stands out the motivator appeal, particularly, in working with parallel lines cut by transversal, using GeoGebra application. The experience showed and proved exciting, allowing the students to conclude that there are a set of elements (angles, straight position etc.), variants and invariants, along with the use and exploration of forms handled. As challenges, you can point out the difficulty of viewing properties in a building for cases where smartphone screen is small. / A presente investiga??o centrou-se na elabora??o de atividades, na implementa??o (no laborat?rio de inform?tica e em sala de aula) e na an?lise do aprendizado de alunos do 8? e 9? ano do Ensino Fundamental de uma escola p?blica de Rio Claro (RJ). Especificamente, a pesquisa analisou o desenvolvimento conceitual em uma pr?tica docente que valoriza o di?logo, a argumenta??o e a escrita, entre outras formas de registro em uma reflex?o com atividades a partir da utiliza??o do GeoGebra convencional (desktop) e o GeoGebra aplicativo (vers?o para smartphones). A an?lise n?o consiste em comparar os dois ambientes utilizados, mas identificar contribui??es e desafios atrelados ? implementa??o destes recursos para apropria??o do conhecimento. Os conceitos foram pol?gonos, pol?gonos regulares e retas paralelas com uma transversal. A coleta de dados foi realizada da seguinte maneira: (a) grava??o em ?udio, folha de atividades, os arquivos referentes ?s constru??es geom?tricas, registros fotogr?ficos e di?rio do pesquisador (implementa??o no laborat?rio) e (b) grava??o em ?udio e v?deo, captura da tela dos smartphones utilizados pelos estudantes, folha de atividades e di?rio do pesquisador (implementa??o em sala de aula). Em rela??o ?s implementa??es de atividades com computadores, destacamos as v?rias formas de visualiza??o e constru??o de um objeto geom?trico proporcionado pelo ambiente de geometria din?mica e a media??o, como ferramenta do trabalho docente, como algumas contribui??es para a constru??o e desenvolvimento do conceito de pol?gono regular. Observamos dificuldades apresentadas pelos estudantes no que se refere ao manuseio do GeoGebra em um computador, assim como desafios para implementa??o de pr?ticas pedag?gicas no laborat?rio de inform?tica, como v?rios computadores com defeito. Como contribui??es do smartphone na implementa??o de atividades, destacamos o apelo motivador que este recurso traz ?s aulas. Particularmente, no trabalho com retas paralelas cortadas por transversais, o uso GeoGebra aplicativo mostrou-se instigante por permitir aos alunos a observa??o de um conjunto de elementos (?ngulos, posi??o de retas etc.) variantes ou invariantes e, juntamente com o manuseio e explora??o das formas manuseadas. Como desafios ? poss?vel apontar a dificuldade de visualiza??o de propriedades em um constructo para casos em que a tela do smartphone ? pequena.

Made available in DSpace on 2014-12-17T14:36:14Z (GMT). No. of bitstreams: 1 OsvaldoSB_1-150_TESE.pdf: 4739260 bytes, checksum: adf88e018aca50ebb29a4c69cccdbb6f (MD5) Previous issue date: 2010-12-14 / This thesis describes and analyzes various processes established and practiced by both groups about the socio-cultural objective (action) the measurement and timing, mobilized some socio-historical practices as the use of the gn?mon of the sundial and reading and interpretation of movements celestial constellations in cultural contexts such as indigenous communities and fishermen in the state of Par?, Brazil. The Purpose of the study was to describe and analyze the mobilization of such practices in the socio-historical development of matrices for teaching concepts and skills related to geometric angles, similar triangles, symmetry and proportionality in the training of mathematics teachers. The record of the entire history of investigation into the socio-historical practice, the formative action was based on epistemological assumptions of education ethnomathematics proposed by Vergani (2000, 2007) and Ubiratan D'Ambrosio (1986, 1993, 1996, 2001, 2004) and Alain Bishop conceptions about mathematics enculturation. At the end of the study I present my views on the practices of contributions called socio-cultural and historical for school mathematics, to give meaning to the concept formation and teaching of students, especially the implications of Education Ethnomatematics proposed by Vergani (2000) for training of future teachers of mathematics / Esta tese descreve a analisa alguns processos estabelecidos e praticados por dois grupos socioculturais acerca da objetiva(a??o) da medi??o do tempo, mobilizados de algumas pr?ticas s?cio-hist?ricas como o uso do gn?mon, do rel?gio de Sol e a leitura e interpreta??o dos movimentos das constela??es celestes, em contextos culturais como as comunidades ind?genas e de pescadores do estado do Par?. A finalidade do estudo foi descrever a mobiliza??o de tais pr?ticas s?cio-hist?ricas na elabora??o de matrizes para o ensino de conceitos e habilidades geom?tricas relacionadas a ?ngulos, semelhan?a de tri?ngulos, proporcionalidade e simetria na forma??o de professores de Matem?tica. O registro de toda a trajet?ria de investiga??o das pr?ticas s?cio-hist?ricas, da a??o formativa, foi realizado com base nos pressupostos epistemol?gicos da Educa??o Etnomatem?tica, propostos por Vergani (2000, 2007) e D Ambrosio (1986, 1993, 1996, 2001, 2004). e nas concep??es de Alain Bishop acerca da Encultura??o Matem?tica. Ao final do estudo apresento minhas impress?es quanto ?s contribui??es mobilizadas das pr?ticas s?cio-hist?ricas e culturais para a matem?tica escolar, no sentido de dar significa??o ? forma??o conceitual e did?tica dos alunos, principalmente nas implica??es da Educa??o Etnomatem?tica proposta por Vergani (2000, 2007) para a forma??o de futuros professores de Matem?tica

Made available in DSpace on 2014-12-17T14:36:44Z (GMT). No. of bitstreams: 1 CristianeFS.pdf: 2468542 bytes, checksum: ffbf8864505adf196f86d6259e164302 (MD5) Previous issue date: 2006-12-20 / 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 / O objetivo do presente trabalho foi desenvolver um estudo sobre a escrita e a manipula??o alg?brica de express?es simb?licas para o per?metro e a ?rea de alguns pol?gonos convexos, abordando as propriedades operat?rias e da igualdade, estendendo-se para a obten??o das f?rmulas do comprimento da circunfer?ncia e da ?rea do c?rculo, essa ?ltima a partir da f?rmula do per?metro e da ?rea do hex?gono regular. Para tanto, foi elaborado e aplicado um m?dulo de atividades de ensino, com base em ensino construtivo. O estudo consistiu numa interven??o metodol?gica, realizada pela pesquisadora, e teve como clientela alunos da 8? s?rie da Escola Estadual Desembargador Floriano Cavalcanti da cidade de Natal, Rio Grande do Norte. A interven??o metodol?gica foi realizada em tr?s etapas: aplica??o de uma avalia??o diagn?stica inicial, desenvolvimento do m?dulo de ensino e aplica??o de uma avalia??o diagn?stica final, com base no ensino de Matem?tica de referencial Construtivista. Os dados coletados nas avalia??es foram apresentados sob a forma de estat?stica descritiva. Os resultados da avalia??o diagn?stica final foram analisados do ponto de vista qualitativo, mediante crit?rios estabelecidos segundo a teoria de Richard Skemp sobre a compreens?o de conceitos matem?ticos. Os resultados gerais sobre os dados observados nas avalia??es e na aplica??o do m?dulo de ensino apontaram para uma diferen?a qualitativa na aprendizagem dos alunos que participaram a interven??o