Reflexões sobre a construção e evolução de conceitos geométricos nas séries intermediárias do ensino fundamental

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

Olhares que pensam e sentem: arte e mediação cultural na aula de geometria

Pós-graduação em Artes - IA

Um estudo sobre os conhecimentos geométricos adquiridos por alunos do ensino médio

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Da cartolina ao computador: uma proposta para o estudo de Geometria

Pós-graduação em Educação Matemática - IGCE

Um estudo de fractais geométricos através de caleidoscópios e softwares de geometria dinâmica

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Temas regionais em atividades de geometria: uma proposta na formação continuada de professores de Manaus (AM)

Pós-graduação em Educação Matemática - IGCE

Geometria esférica por meio de materiais manipuláveis

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A geometria em cursos de pedagogia da região de Presidente Prudente-SP

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O ensino de conceitos geométricos no 2º. ano do Ensino Fundamental usando a Webquest Viajando nas Obras de Arte

Pós-graduação em Educação - FCT

Goyas, século XIX: as matemáticas e as mudanças das práticas sociais de ensino

Pós-graduação em Educação Matemática - IGCE

Estudando geometria através de dobraduras

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Resolução de problemas geométricos: um estudo sobre conhecimentos declarativos, desenvolvimento conceitual, gênero e atribuição de sucesso e fracasso de crianças dos anos iniciais do ensino fundamental

Pós-graduação em Educação para a Ciência - FC

A utilização de sólidos geométricos com alunos do ensino fundamental

This research analyzed if the interactions between teacher and student, and among students, with the use of manipulative materials in the Mathematics teaching in a middle school class and provided the comprehension of the subjects worked. The analysis of the results was based in Vygotsky’s socio-historical theory, that prioritizes the interactions in learning-teaching process. The results of this research showed that these interactions mediated by the use of such materials provide the student with the motivation needed to take part in the math classes as an active actor in his development process, as well as understanding the concepts

Simetria no ensino fundamental através da resolução de problemas: possibilidades para um trabalho em sala de aula

This paper presents an alternative way of working with the theme of symmetry in the elementary school classroom. The proposal is based on qualitative research developed in the Professional Masters degree program in Science and Mathematics Teaching. We conducted field-work consisting of applying a sequence of activities for students in the seventh grade. The sequence was developed from the perspective of mathematics teaching using problem solving, taking into consideration aspects relevant to the study of geometry, such as intuition and visualization. In carrying out the activities, the dialogues between students and teacher were recorded and later transcribed. For data analysis we used the procedures of phenomenology. When interpreting the data, we observed that the teaching of symmetry using problem-solving enhances learning. We also found that, in an investigative environment, students are able to identify properties, argue about the geometric characteristics, and justify their opinions.

Algumas potencialidades didáticas do setor trigonal na interface entre história e ensino de matemática

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)