Made available in DSpace on 2014-12-17T14:36:10Z (GMT). No. of bitstreams: 1 IvanilkaLA_TESE_1_a_150.pdf: 4520585 bytes, checksum: 18c2643e49e2eac92f9fe5befa225c45 (MD5) Previous issue date: 2010-05-20 / This thesis represents a didactic research linked to the Post-graduation Programme in Education of the Universidade Federal do Rio Grande do Norte which aimed to approach the construction of the geometrical concepts of Volume of the Rectangular Parallelepiped, Area and Perimeter of the Rectangle adding a study of the Area of the Circle. The research was developed along with students from the 6th level of the Elementary School, in a public school in Natal/RN. The pedagogical intervention was made up of three moments: application of a diagnostic evaluation, instrument that enabled the creation of the teaching module by showing the level of the geometry knowledge of the students; introduction of a Teaching Module by Activities aiming to propose a reflexive didactic routing directed to the conceptual construction because we believed that such an approach would favor the consolidation of the learning process by becoming significant to the apprentice, and the accomplishment of a Final Evaluation through which we established a comparison of the results obtained before and after the teaching intervention. The data gathered were analyzed qualitatively by means of a study of understanding categories of mathematical concepts, in addition to using descriptive statistics under the quantitative aspect. Based on the theory of Richard Skemp, about categorization of mathematical knowledge, in the levels of Relational and Instrumental Understanding were achieved in contextual situations and varied proportions, thus enabling a contribution in the learning of the geometrical concepts studied along with the students who took part in the research. We believe that this work may contribute with reflections about the learning processes, a concern which remained during all the stages of the research, and also that the technical competence along with the knowledge about the constructivist theory will condition the implementation of a new dynamics to the teaching and learning processes. We hope that the present research work may add some contribution to the teaching practice in the context of the teaching of Mathematics for the intermediate levels of the Elementary School / Esta tese se constituiu em uma pesquisa did?tica vinculada ao Programa de P?s-gradua??o em Educa??o da Universidade Federal do Rio Grande do Norte que teve por objetivo abordar ? constru??o dos conceitos geom?tricos de volume do bloco retangular sua ?rea de superf?cie acrescentando um estudo sobre ?rea do c?rculo. Este foi desenvolvido junto a alunos do 6? ano do Ensino Fundamental, em uma escola da rede p?blica de ensino em Natal/RN. A interven??o pedag?gica constou de tr?s momentos: aplica??o de uma avalia??o diagn?stica, instrumento que subsidiou a elabora??o do m?dulo e ensino, ao indicar os conhecimentos pr?vios e fragilidades dos alunos; introdu??o do m?dulo de ensino por atividades e realiza??o de uma avalia??o final atrav?s da qual estabelecemos uma compara??o dos resultados obtidos antes e depois da interven??o de ensino. Os dados obtidos foram analisados qualitativamente mediante estudo de categorias de compreens?o de conceitos matem?ticos, al?m de utilizarmos a an?lise estat?stica validando-a sob o aspecto quantitativo. Com base nos resultados os n?veis de compreens?o relacional e instrumental foram atingidos em situa??es contextuais e propor??es variadas. Acreditamos que este possa contribuir ainda com reflex?es acerca dos processos do conhecer, preocupa??o que permeou todas as etapas da pesquisa. Nossa esperan?a ? que esta pesquisa possa acrescentar alguma contribui??o ao fazer docente no contexto do ensino matem?tico, haja vista concebermos que a compet?ncia t?cnica aliada ao conhecimento sobre a teoria construtivista implementaria uma nova din?mica aos processos de ensino e aprendizagem

Este trabalho visa analisar uma proposta didática para o ensino do conceito de volume a alunos do Ensino Fundamental, tendo sido a mesma compartilhada junto a oito licenciandos do subprojeto Matemática PIBID/UFU na forma de um minicurso desenvolvido em três encontros de noventa minutos; este teve o intuito de resgatar as principais ideias dos alunos sobre o conceito de volume bem como coletar suas opiniões acerca da metodologia empregada. Com base na teoria da aprendizagem significativa de David Ausubel, teve-se por objetivos: (a) analisar a potencialidade do material apresentado, composto por dois tipos de atividades: aquelas que, por meio de questionamentos, discussões e manipulação de materiais visaram articular as grandezas volume, massa e conteúdo; e as que envolviam a solução de problemas envolvendo comparação, medição e produção de paralelepípedos; (b) analisar o desempenho dos licenciandos no desenvolvimento das atividades e (c) analisar as opiniões deles acerca do trabalho desenvolvido. Foram utilizada filmagem, gravação de áudio, registros fotográficos. A análise da aplicação da sequência indica que as questões e os problemas propostos favoreceram as articulações necessárias para a formação do conceito e que o material tem elementos para ser considerado como potencialmente significativo para a construção do conceito de volume e pode ser aplicado a alunos do ensino fundamental, desde que seja adaptado à sua realidade. / This work aims at analyzing a didactic proposal for the teaching of the concept of volume the elementary students, having been the same shared with eight students of the subproject Mathematics “PIBID/UFU” in the form of a short course developed on three dates of 90 minutes, this had to rescue the main ideas of the students about the concept of volume as well as to collect their views on the methodology employed. Based on meaningful learning theory of David Ausubel, had for objectives: (a) examine the potential of material presented, consisting of two types of activities: those who, by means of questions, discussions and handling materials aimed at articulating the volume, mass and content, and those that involve problem solving involving comparison, measurement and production of paving stones; (b) analyze the performance of students in the development of activities and (c) analyze their opinions about work. Were used in filming, audio recording, photographic records, the review of the implementation of the string that indicates that the issues and the problems proposed favored the joints necessary for the formation of the concept, and that the material has to be considered as potentially significant for the construction of the concept of volume and can be applied to elementary school students, since the discussions are adapted to their reality. / Dissertação (Mestrado)