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.

O uso da Geometria do Táxi no ensino de Análise Combinatória

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A competência leitora e suas relações com processos de ensino e aprendizagem da matemática

Pós-graduação em Docência para a Educação Básica - FC

A interdisciplinaridade no ensino da matemática pela perspectiva da pedagogia histórico-crítica: superando a pedagogia de projetos

Pós-graduação em Docência para a Educação Básica - FC

Determinação do teor alcoólico de vodcas: uma abordagem multidisciplinar no ensino da física, química e matemática

In this paper, it is proposed an experimental activity to be developed with high school students, addressing the concepts of density and surface tension from a multidisciplinary approach among Physics, Chemistry and Mathematics. In this proposal, students are challenged to determine the alcohol content of vodkas from intensive physical properties of liquids. Two calibration curves were obtained, one for density and another for surface tension as a function of ethanol concentration in water. The alcohol levels obtained from these properties were very close to the values given by manufacturers, due the similarity of these beverages with ethanol-water binary mixtures.

A resolução de problemas no contexto do estágio curricular supervisionado: dificuldades e limites de licenciandos em matemática

The aim was to investigate the difficulties and limits of four future mathematics teachers to conduct classes in regencies approach of problem solving. Based on participation in a course this approach, undergraduates elaborated three didactic sequences, which were taught by the activity of conducting classroom discipline Supervised Curricular Training. After this work, participated in an individual interview to report what had developed in classroom. The results showed difficulties in the following aspects: in the elaboration of didactic sequences; in providing an environment for discussion of resolution strategies students. Furthermore, the data analysis showed limits related: the lack of space at the school teacher to allow implementation of lessons developed; lack of basic mathematical knowledge of the students.

Cálculo de áreas de figuras planas e espaciais com aplicações ao ensino fundamental e médio

Pós-graduação em Matemática em Rede Nacional - IBILCE

A IMPORTÂNCIA DAS TICS E DA EDUCAÇÃO COMO PROCESSO COMUNICACIONAL DIALÓGICO NO ENSINO SUPERIOR: Um Estudo da Universidade Estadual de Mato Grosso do Sul

Esta tese teve por objetivo saber como o corpo docente da Universidade Estadual de Mato Grosso do Sul (UEMS) percebe, entende e reage ante a incorporação e utilização das Tecnologias de Informação e Comunicação (TICs) nos cursos de graduação dessa Instituição, considerando os novos processos comunicacionais dialógicos que elas podem proporcionar na sociedade atual. Metodologicamente, a tese é composta por pesquisa bibliográfica, buscando fundamentar as áreas da Educação e Comunicação, assim como a Educomunicação; pesquisa documental para contextualização do lócus da pesquisa e de uma pesquisa exploratória a partir da aplicação de um questionário online a 165 docentes da UEMS, que responderam voluntariamente. Verificou-se que os professores utilizam as TICs cotidianamente nas atividades pessoais e, em menor escala, nos ambientes profissionais. Os desafios estão em se formar melhor esse docente e oferecer capacitação continuada para que utilizem de forma mais eficaz as TICs nas salas de aula. Destaca-se ainda que os avanços em tecnologia e os novos ecossistemas comunicacionais construíram novas e outras realidades, tornando a aprendizagem um fator não linear, exigindo-se revisão nos projetos pedagógicos na educação superior para que estes viabilizem diálogos propositivos entre a comunicação e a educação. A infraestrutura institucional para as TICs é outro entrave apontado, tanto na aquisição como na manutenção desses aparatos tecnológicos pela Universidade. Ao final, propõe-se realizar estudos e pesquisas que possam discutir alterações nos regimes contratuais de trabalho dos docentes, uma vez que, para atuar com as TICs de maneira apropriada, exige-se mais tempo e dedicação do docente.

Produção do mestrado profissional em ensino de ciências naturais e matemática da UFRN (física e química/2005-2012): papel dos documentos oficiais e características dos produtos educacionais

The importance of the Professionals Master in the field of science education is revealed by the recognition that they provide, to practicing teachers, in particular, training spaces for reflection and application of knowledge. This work appears in the context of the project "Research and training in teaching science and mathematics: a cutout of academic production in the northeast and overview of formative action in basic education" on the Centre for Education program, which main objective was to conduct studies description, analysis and evaluation of the academic production of Postgraduate Programs in Science Teaching of UFRPE, UFRN and UEPB and investigate the contribution of continuing education in stricto sensu level, of graduated teachers to improve the quality of basic education . We sought to examine a cut of academic production PPGECNM / UFRN, taking as reference dissertations of Natural Sciences, finished between the years 2005 and 2012, which have developed and applied educational products for high school students. More specifically we sought to conduct a general characterization of the dissertations analyzed for basic descriptors, to understand if and how the official documents governing the Brazilian education, especially science education, subsidized development of dissertations and identify current trends for science teaching are addressed and which ones are used in preparing the product of dissertations. The survey was based on documentary analysis, a type of qualitative approach in which the documents are objects of study in themselves. The results revealed that most of the work was developed in public schools, on subjects of physics and chemistry. During analytical reading of the text of the dissertations was observed that, in its construction, most of them addressed somehow, official documents governing the Brazilian educational system, that the products are basically teaching units and teaching approaches that are more focused on Experimentation and History and Philosophy of Science

Elaboração de uma unidade de ensino potencialmente significativa em Química para abordar a temática água

The evidence of the water theme in news reports is configured as an important topic of interest to contextualize, problematize and/or generate meaning in the midst of discussion of a content from different levels of education and/or disciplines of basic education. The possibilities to use this theme in classroom is also highlighted in Brazilian official documents that guide the practice of teachers of all Brazilian curricular components of this educational level. So, the theme water can be used as subsidy to teach chemistry, since contextualises the teaching of this discipline aiding in the discussion of different chemical concepts. In this perspective, the meaningful learning theory, developed by David Ausubel, has constructivist nature and says that an individual learns significantly when he can relate new information with a specific knowledge structure that integrates the prior knowledge of its structure. In this sense, the use of water as a theme for the approach prior knowledge of chemical concepts has already been characterized as an important topic that can give meaning to the content of education in chemistry. In this dissertation, a teaching unit potentially significant (TUPS) is presented based on meaningful learning theory of David Ausubel approaching the theme water. approaching the theme water. The unit was used in a class of thirty-five students of the 2nd year of high school, a public school in the city of Extremoz-RN, metropolitan region of Natal / RN. Through it was possible to discuss an issue of interest to students of the school to address the chemical contents, such as solutions, physicochemical aspects and stages of water treatment. At first, an initial questionnaire was used to identify the students' previous ideas on the topic under study to the concept of chemical solutions. It was subsequently developed and implemented a series of activities based on students' ideas. To subsidize the sequence, it was prepared four booklets that worked the content of chemical solutions, contextualizing the theme water. The results of this work showed that the alternative conceptions that students have about concepts related to the chemical solutions are similar to the ideas of other students presented in the literature and that the development of the TUPS, allied to the contextualization strategy with the theme water, not only motivated the students for the teaching of chemical content, as yet provided the learning of chemical concepts not in isolation, but making a connection between their ideas and experiences with scientific knowledge. To this, beyond of dialogued lectures, were also used strategies as experimental activities, problem solving, group discussions and construction of concept maps. The final evaluation of the unit was conducted by a questionnaire based on the Likert scale, answered individually by students, who approved the unit as conducive to teaching and learning of chemistry process

Dificuldades de aprendizagem do conteúdo de soluções: proposta de ensino contextualizada

The study of solutions is considered very important to chemist’s education because most of the chemical reactions occur in aqueous medium, being also required to understand other subject such as chemical changes, electrochemical and chemical balance. Nevertheless, it is noticed that many students indicate learning difficulties related to the content of solutions, how to pass among the macro-submicroscopic knowledge levels, and how to solve quantitative problems that demanding the establishment of a stoichiometric ratios. This thesis defended considers the use of contextualized teaching strategies about some subject associated to the study of solution, can foster student learning through reflection and understanding of their own difficulties, besides to provide motivation and active participation. The target group is formed by students of the undergraduate distance education with major in chemistry education of the Universidade Federal do Rio Grande do Norte (UFRN), and they were chosen because this education system is expanding and its learning difficulties publications number is reduced as well. Thus, the first methodological stage was to identify the student’s main learning difficulties associated to the study of solutions through literature sources. Next, using an adapted script of the Plano Nacional do Livro Didático para o Ensino Médio (PNLEM, Textbook National Plan for High School), the approach of the content of solutions printed in educational materials used by the target group was analyzed. Afterward, a teaching unit was planned in the last methodological stage and, finally, a new teaching unite was given with a sequence of contextualized activities such as video presentation, dialogued lecture, questionnaires application, exercises, and an experiment, where the target group’s main difficulties related to learning of solution were identified. The participants of the teaching unit activities had some learning difficulties in understand concepts of compound, ion, charge, entropy and solubility, as well as to identify the ion charge, interpret statements, decode tables, use the chemical language, perform mathematical calculations and use concentration units, similar results raised in the literature sources. In order to work on these difficulties, these students were encouraged to expose, question and test their ideas about the phenomenon under study, allowing learn from their mistakes and reflect on the organization strategy of scientific explanatory models they use. Therefore, activities and information about learning difficulties presented in this thesis need to be critical reflection object, because it can help both students in the process of acquiring knowledge about the content of solutions and professors in the planning of their lessons.

Situações-problema no ensino de matemática financeira

O presente trabalho descreve uma proposta de atividade educacional direcionada para professores de Matemática, envolvendo situações-problema no ensino de Matemática Financeira para ser aplicado com alunos do Ensino Médio. Tais atividades tem como objetivo fornecer um contexto real, no qual o estudante esteja inserido. O trabalho se divide em quatro partes: a introdução de uma situaçãoproblema envolvendo juros simples, o conhecimento matemático, a resolução da situação-problema e a proposta de atividade educacional. Diferenciando-se do que usualmente é encontrado nos livros didáticos, a proposta aqui apresentada propõe estudar conteúdos matemáticos de forma articulada, envolvendo o conceito de porcentagem vinculado com funções lineares e juros simples com função afim e progressão aritmética. Dessa forma, é apresentada uma sequência de aulas envolvendo situações-problema através de atividades, adequadas para os alunos.

Matemática e música

Esta dissertação propõe atividades a fim de estabelecer uma aproximação entre a matemática e a música, aproveitando a estreita relação existente entre esses dois assuntos. Aplica-se a história da matemática como ferramenta para o entendimento de conceitos matemáticos e musicais, bem como a evolução da música. Além disso, utiliza-se a resolução de problemas para estabelecer a relação entre a matemática e a música através das funções exponencial e logarítmica e a sequência numérica chamada progressão geométrica (P.G.) Ações efetivas, como questionários relativos ao assunto a ser estudado, debates com o intuito de perceber o nível de conhecimento dos alunos sobre a música e uma atividade prática, a construção de um xilofone de garrafas, envolvendo os conhecimentos adquiridos, auxiliaram para a obtenção do resultado final deste trabalho. Apresenta-se também a análise das atividades que embasaram a proposta desse trabalho quando aplicadas em uma turma de segundo ano do Colégio Sinodal Alfredo Simon, localizada na cidade de Pelotas no estado do Rio Grande do Sul.

Metodologia de ensino do conceito de função exponencial à luz da teoria das situações didáticas

This essay presents a proposal on methodology over the mathematical object Exponential Function which enables the development of interpretative and creative skills with potential meaning to the students starting from a didactic sequence structured on the light of The Theory of Didactic Situations from Guy Brousseau and, from the Records of Semiotic Representation of Duval, providing interactions among the students, the teacher and the environment of cooperative learning where the students feel free to express their own ideas as well as to suggest their own approaches. The methodology presented has been developed according to the students first knowledge, valuing their different ways of registering, which have such an important role during the teaching and learning processes. The proposal has been applied to the students from the first year of high school of Colégio Estadual José de Anchieta Ensino Fundamental e Médio, located in a town called Dois Vizinhos –Paraná. In order to the development of the research the methodological tool Didactic Engineering Artigue which consists in a methodology developed only to the research with didactic situations. The main goal has been reached at first, which was to work on the conceptual part of the Exponential Function, the relation of dependence and its main characteristic so that the variable part is in the exponent. Moreover with no imposition but starting from suitable didactic situations, the students were able to realize that they could solve the problems which involve the exponential function and furthermore create new problems (according to their universe) modeled by this kind of function. Its believed that the methodology based on the theory of didactic situations, analysis of students registers, observation on mistakes and obstacles as well as reflections over the aspects of the didactic contract are of fundamental importance to the teaching practice and determinant during the teaching-learning process.

A educação para a cidadania fiscal : ações do Programa Nacional de Educação Fiscal - PNEF no ensino fundamental e médio

Objetiva identificar os fatores que dificultam o avanço das propostas de educação para a cidadania fiscal apresentadas pelo Programa Nacional de Educação Fiscal(PNEF) para o ensino fundamental e médio e as possíveis razões que explicam esses dificultadores.