Utilizando processos geométricos da história da matemática para o ensino de equações do 2º grau

The present work had as principal objective to analyze the, 9th grade students understanding about the solutions of an equation of the 2° degree, using geometric processes of the History of the Mathematics. To do so, the research had as base the elaboration and application of a group of teaching activities, based on Jean Piaget's construtivism. The research consisted of a methodological intervention, that has as subjects the students of a group of 9th grade of the State School José Martins de Vasconcelos, located in the municipal district of Mossoró, Rio Grande do Norte. The intervention was divided in three stages: application of an initial evaluation; development of activities‟ module with emphasis in constructive teaching; and the application of the final evaluation. The data presented in the initial evaluation revealed a low level of the students' understanding with relationship to the calculation of areas of rectangles, resolution of equations of the 1st and 2nd degrees, and they were to subsidize the elaboration of the teaching module. The data collected in the initial evaluation were commented and presented under descriptive statistics form. The results of the final evaluation were analyzed under the qualitative point of view, based on Richard Skemp's theory on the understanding of mathematical concepts. The general results showed a qualitative increase with relationship to the students' understanding on the mathematical concepts approached in the intervention. Such results indicate that a methodology using the previous student‟s knowledge and the development of teaching activities, learning in the construtivist theory, make possible an understanding on the part of the students concerning the thematic proposal

A teoria de Dienes no ensino de transformação de medidas de comprimento, área e volume no curso de pedagogia

The study was aimed to test a teaching module on the Zoltan Paul Dienes theory, focusing on the content: The transformation of measurements: length, areas and volumes. The study based on constructivist theory consisted in a methodological intervention with students of the 7th period of the Course of Pedagogy, in Central Campus, Federal University of Rio Grande do Norte (UFRN). A preliminary study with 40 students called diagnostic evaluation found that students did not understand the concept of measurements transformation and its processing steps. The latter was performed only with the help of the table of measurements transformation with no understanding of the content. He applied a pretest, a set of activities and a post-test. The latter was used as a tool for evaluation of the student learning process. The answers of these ones were evaluated according to the concept of reflective abstraction of Jean Piaget, one of the authors who influenced the Dienes theory

As geometrias urbana e isoperimétrica: uma alternativa de uso em sala de aula

The main goal of the present study is to propose a methodological approach to the teaching of Geometry and, in particular, to the construction of the concepts of circle (circumference) and ellipse by 7th and 8th grade students. In order to aid the students in the construction of these concepts, we developed a module based on mathematical modeling, and both Urban Geometry (Taxicab Geometry) and Isoperimetric Geometry. Our analysis was based on Jean Piaget's Equilibrium Theory. Emphasizing the use of intuition based on accumulated past experiences, the students were encouraged to come up with a hypothesis, try it out, discuss it with their peers, and derive conclusions. Although the graphs of circles and ellipses assume different shapes in Urban and Isoperimetric Geometry than they do in the standard Euclidian Geometry, their definitions are identical regardless of the metric used. Thus, by comparing the graphs produced in the different metrics, the students were able to consolidate their understanding of these concepts. The intervention took place in a series of small group activities. At the end of the study, the 53 seventh grade and the 55 eighth grade students had a better understanding of the concepts of circle and ellipse

Acolhimento institucional e desenvolvimento moral: a generosidade em crianças de quatro a seis anos de idade em situação de abrigo

This research has as main proposal to verify how the virtue of generosity, considered as one of the important aspects of moral development on children, shows itself in children between four and six years old in institutional welcome condition. Toward this aim, knowledge in Human Development Psychology, specifically Jean Piaget and his contemporary collaborators, were associated to philosophic knowledge, with emphasis in Kant and Aristotle. The research took place in an institutional welcome service in the town of Natal-RN, between February and May of 2009, witch is responsible to offer care to children from zero till six years old. As procedure were used: the rulebased game Memory Game ; the childhood story One note fight ; and observations of the institution s everyday. The corpus analysis was done by the Thematic Content Analysis method. In general, in the daily observations, children showed themselves more co-operative and generous than in the executed procedures, mainly when the matter subject was other´s well-being. The duty, Kantian perspective, was overcome by the Aristotelian sumo bem, classified as generous act of afford to other what is not posted as right, however guaranteed by solidarity

Valores na escola

Neste texto pretende-se discorrer sobre valores morais na escola e suas implicações para a formação de professores. Para tanto discutir-se-á, em primeiro lugar, e brevemente, o que são valores morais, ou éticos, e como a escola pode situar-se em relação a eles. em seguida, serão relatadas algumas observações a respeito de valores de professores e práticas daí decorrentes. São comentados resultados de pesquisa que ilustram a transmissão de valores de forma doutrinal e a educação moral e cívica tal como realizada na ditadura militar, e, por outro lado, a posição relativista e/ou de laissez-faire que certas escolas podem adotar, metodologicamente, sobre a educação em valores. Finalmente, defender-se-á a idéia de que é necessária uma discussão sobre valores pelos diversos membros da escola e uma opção por uma metodologia para ensiná-los, seja os professores, em sua formação inicial e continuada, seja os alunos. A teoria de desenvolvimento moral de Jean Piaget será apresentada como uma referência possível para a educação em valores. Exemplos de situações escolares de conflito de valores entre direção, pais e alunos são discutidas para ilustrar como uma escola pode adotar um procedimento democrático de educação em valores, que se apresenta como um terceiro caminho possível de educação moral nas escolas, além das posições doutrinárias ou relativistas.

A profissionalização docente: identidade e crise

Pós-graduação em Educação Escolar - FCLAR

Juízo moral e violência: a avaliação de situações de violência em crianças e adolescentes do ensino fundamental

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O julgamento sociomoral de universitários usuários de maconha

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Ideias de estudantes sobre a origem da Terra e da vida e suas relações com o desenvolvimento cognitivo: um estudo psicogenético

Pós-graduação em Educação - FFC

O desenvolvimento sócio-moral no contexto escolar em crianças do ciclo I - ensino fundamental

Pós-graduação em Educação - FFC

O esquema de ação e a constituição do sujeito epistêmico: contribuições da epistemologia genética à teoria do conhecimento

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Sobre o uso da função proposicional e sua gênese segundo a epistemologia genética

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

O tempo como noção a priori: contribuições da epistemologia genética à teoria do conhecimento

Pós-graduação em Filosofia - FFC

A noção de curva de nível no modelo tridimensional

Pós-graduação em Geografia - IGCE

Jogos de regras e educação: concepções dos docentes do ensino fundamental

Pós-graduação em Psicologia - FCLAS