Explorando o Conjunto de Cantor e outros fractais no ensino básico

Pós-graduação em Matemática em Rede Nacional - IBILCE

Um olhar sobre a formação de professores de matemática a distância

Os professores de Matemática, assim como os que ensinam as demais disciplinas nos cursos de nível fundamental e médio, deparam com vários fatores desestimulantes:fraco desempenho dos alunos, currículos desinteressantes, deficiência na própria formação. Diante desse quadro, a autora investigou uma alternativa à formação tradicional de professores de Matemática. Ela analisa a educação a distância para tentar identificar se esse meio seria adequado para promover tanto a formação inicial quanto a continuada dos docentes da disciplina. Ela se baseia em um caso exemplar: o curso de licenciatura em Matemática a distância do Centro de Educação Superior a Distância do Rio de Janeiro (Cederj), que integra a Universidade Aberta do Brasil (UAB), ligada ao Ministério da Educação. O curso serve de modelo para outros cursos da UAB. A autora apresenta a implementação do projeto desde a etapa inicial, avaliando documentos e um grande volume de entrevistas, principalmente com alunos formados no curso, mas também com professores e gestores. O estudo capta diversos aspectos do curso da Cederj/UAB, como as expectativas dos alunos em relação ao processo de ensino e aprendizagem, as dificuldades que encontraram, a forma como tinham acesso às aulas a distância, o comportamento diante dos colegas nos encontros presenciais e os resultados práticos da formação. As conclusões da autora incluem pontos positivos e deficiências, mas ela levanta subsídios importantes para a discussão sobre o uso do instrumento educação a distância na formação de professores de Matemática.

Elementos de história da educação matemática

Neste trabalho a quatro mãos, Antonio Vicente Marafioti Garnica e Luzia Aparecida de Souza tentam compreender de que modo a história do ensino da Matemática influenciou os métodos didáticos atualmente empregados, principalmente na educação básica, mas também na formação e no direcionamento dos professores. De acordo com os pesquisadores, após as reformas educacionais realizadas na França na década de 1790, em grande parte sustentadas pelos ideais iluministas, elementar passou a significar introdutório, ou simples, e a caracterizar essencialmente as obras voltadas para o ensino. Ainda hoje a Matemática é, muitas vezes, tanto no Brasil como no exterior, tratada no ensino básico como uma espécie de introdução que nunca transcende a si mesma. Os autores também reuniram no livro os resultados de algumas intervenções de campo, como discussões que promoveram com crianças e seus professores acerca da influência da memória comunitária no aprendizado da Matemática e levantamento sobre a importância da oralidade para a transmissão de conhecimentos de Aritmética e Geometria.

Uma contribuição ao estudo do ensino de educação física à distância

Pós-graduação em Desenvolvimento Humano e Tecnologias - IBRC

A leitura dos enunciados dos problemas matemáticos e as estratégias para a resolução por alunos do 9º ano do ensino fundamental

Pós-graduação em Educação - FFC

Um curso de matemática básica através da resolução de problemas para alunos ingressantes da Universidade Federal do Pampa - campus Alegrete

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uso da calculadora nas aulas de Matemática: possibilidades e percepção de licenciandos e professores

The objective of this work is to analyze teaching situations with the use of calculator inside classroom aiming to understand its function and potential to the learning of Mathematics. A survey was carried out about the students and teachers’ conceptions concerning the use of calculator as an auxiliary tool in the learning of Math . The first part of the research is based by means of official documents (Parâmetros Curriculares Nacionais (PCN) , Proposta Curricular do Estado de São Paulo, Guia do Programa Nacional do Livro Didático (PNLD)) , researches and other publications , characterizing by a bibliographic study. The survey with the participants— Math students and teachers acting in public or private schools of São Paulo state— was done through a questionnaire and interviews . The results show that most part of interviewed people are in favor of the use of calculator in the classroom . However , a big part of this number still consider it only as a tool to speed calculations with high numbers or decimals . It was verified that teachers who have recently graduated and have taught for a short period of time accept and comprehend the role of calculator more easily in some activities and consider it as an useful and auxiliary tool to the students’ learning

Educação financeira: uma possibilidade de ensino a partir dos cenários para investigação

This work presents a proposal for teaching financial mathematics to students from secondary school using mathematics investigation. This methodology is used for many researchers and this work follows the main ideas of Fonseca, Brunheira, and Ponte (1999) and Skovsmose (2000). With this methodology, we intend to develop activities that approximate real situations of daily life and we aim to help students to understand and make decisions about single commercial and finances negotiations. Such activities have open questions that provide students the opportunity to think about mathematical subjects like loans, financing and saving account. We show a short description of studies about the importance of financial education in secondary school and university. Our proposal is applied in Secondary School because we considering to use contents of this area in a very simple way, dealing with mathematical ideas in order to develop skills of critical analysis. We suggest a qualitative research with phenomenological approach, as a possibility analysis of collected data from this teaching proposal

Mudanças nos livros didáticos do aluno e do professor: o 1º ano das séries iniciais e o movimento da matemática moderna

Este trabalho visa explorar o ensino da matemática por meio da análise de livros didáticos do aluno e do professor entre as décadas de 1960 e 1980, focando o 1º ano do ensino primário, atual fundamental I. Iniciamos por uma revisão bibliográfica sobre o contexto histórico, desde a introdução do livro na sociedade até a utilização do mesmo para o ensino na área da matemática. A pesquisa tentará retratar brevemente, a história da educação e da educação matemática no Brasil, as diferentes concepções de ensino da época em questão, ou seja, entre as décadas de 1960 e 1980, onde houve o ápice e o declínio do Movimento da Matemática Moderna. Por fim, este trabalho buscará explorar de maneira panorâmica, se ocorreram mudanças nos conteúdos no ensino da matemática por meio da análise de livros didáticos do aluno e do professor no 1º ano das séries iniciais e relatar quais foram essas mudanças. Utilizar-se-á como metodologia a análise de livros didáticos como um objeto pertencente à história cultural, com um enfoque na análise sócio-histórica, na análise formal ou discursiva e, finalmente, interpretação/ reinterpretação.

O jogo de xadrez e a aprendizagem matemática: uma análise de possibilidades

The idea of this research is to analyze the possibilities of using chess as a nice alternative for motivating and teaching mathematics. The study was carried out in three steps, consisting of a literature review about the importance of games for education, followed by the importance that the game of chess has on the student's cognitive development and, finally, a qualitative analysis of data obtained by recording it. The data were taken from some activities performed in the 6th grade class of elementary education at a public school in the city of Roseira, state of São Paulo, in a team at the age 9 and 12 year-old students. The result of this research proved to be significant the use of chess game to teach math, we were able to verify that there was an easy assimilation of the subject, because when a student plays, he/she willdevelop skills in the game which becomes an incentive to study even more

A etnomatematica e suas contribuições para o conteúdo da matemática escolar

In this research we set out to understand the Ethnomathematics Program such as it is said by some authors of Mathematics Education. To this end we conducted an exploratory study. The objective of to study this program is to analyze its contribution to understanding of the content of mathematics in the school environment. The authors studied are Ubiratan D'Ambrosio, considered the precursor of the Ethnomathematics Program and researchers as Paulus Gerdes, Maria do Carmo Santos Domite, Eduardo Sebastiani Ferreira and Gelsa Knijnik, that develop research in Ethnomathematics and may contribute to the comprehension of what in the study we intend to do. Although recourse to authors of Education and Education Philosophy as Maria Aparecida Viggiani Bicudo and Joel Martins to intend the idea of curriculum and its importance in the school environment. The study carried showed that the Ethnomathematics Program goes beyond of to explicit the mathematical knowledge produced by cultural groups, transcending the description of procedures that reveal the construction of knowledge hitch to school subjects. That is, the program seeks the valuing the human being, concerning itself with the construction of a worthy citizen and able to relate with their natural environment, social and intellectual

O ensino dos conceitos de área e perímetro através da resolução de problemas

When I set out to attend degree in mathematics was because I believed that mathematics could be taught to students in a way closer to their daily lives, thereby making it a more attractive school discipline, gradually, eliminating its reputation of a difficult school subject. Then, during my observations in supervised, I realized that one of the greatest difficulties in mathematics was related with geometry, in which the concepts of area and perimeter were often confused. Using the methodological tool of problem solving, something to bring the concept to be developed and the cultural context in which the student is in, I developed some educational activities in which, using concrete materials, students were encouraged to construct their own knowledge about the concepts of area and perimeter. Moreover, such activities were designed to place the student as the center of attention in the classroom. The main objective of this work is to encourage and observe how this methodology, based on the solving problem process, can be used within the classroom, to better understand the concepts to be taught, always looking for improvement of the student learning

O uso das TIC nas aulas de matemática na perspectiva do professor

The objective of this research is to understand whether the mathematics lessons teachers use ICT and how they see their use. For this, we prepared a questionnaire with four questions for the subjects of our research, which are ex - students of Bachelor in Mathematics FEG / UNESP, in exercise of the profession. The questionnaire data were analyzed following the procedures of phenomenological research. This approach enabled us to draw up three open categories. The first Recourse to boost student learning and school, leads us to interpret that for the interviewees, ICT resources are leading students to do research making them responsible for their learning and providing them with conditions respond the issues raised by the teacher, which generates greater interactivity. The second, Possibility to use software related to mathematical content shows that the subject sees ICT as resources that allow the study of mathematical content, especially geometry and functions, so that student learning is leverage. The third, Obstacles to the use of technology in the classroom shows that even if the subjects recognize the importance of ICT use, they do not use it as often as they would like because of the difficulties that are related to infrastructure and didactic and pedagogical conditions

A matemática no ciberespaço: um olhar fenomenológico para a expressão dos sujeitos

With the implementation of new technologies on the world stage of communication, Internet access has become increasingly numerous. Being sought by this means all kinds of information, from knowledge to entertainment. This paper intends to report the experience in two communities of the Internet, particularly in the social network Orkut, entitled I Hate Mathematics and I Love Mathematics, whose members are students, teachers and people who want to express how they feel about mathematics. The goal is to understand what took the members of these communities to hate or love Mathematics, clarifying the nature of the network Orkut and its contribution to mathematics education. For the analysis of data from field work, we use the phenomenological approach. The procedures followed by such approach allowed us to build four open categories: Research and Background, revealing that the research activities allow students to develop strategies, develop creativity and shows that what is learned in classroom is not just an accumulation of knowledge; Teacher's Role shows that it is necessary that the teacher understands the meaning of being a teacher and worry about being a student; Acquisition Technique, it is necessary that students be able to understand what is done and how it is done, and Sense of What is Done, to do is not directly linked to comprehend. The interpretation of these categories helped us understand the investigated giving us source to analyze how Information and Communication Technologies (ICT) can help the teacher understand the student's relationship with Mathematics

Matemática e Arte: interdisciplinaridade

The objective of this study is to perform a theoretical study of the possible relationship between mathematics and art. For some people, the association between these fields of knowledge may simply seem absurd, possibly because they do not know what is in common between an area considered rigorous, rational, objective, and a more emotional, intuitive, subjective. In this context, interdisciplinarity has an important role, in proposing the contextual integration between the subject content, such as projective geometry and the renaissance. Are also presented as examples of this union, the technique of Moses and the geometric patterns of indigenous crafts, as well as the work of artist Maurits Cornelis Escher, a legitimate representative of the relationship between art and mathematics