Classificação de centros e estudo de ciclos limite para sistemas lineares por partes em duas zonas no plano

Pós-graduação em Matemática - IBILCE

Estudo de órbitas periódicas em equações diferenciais não autônomas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Informática como um recurso pedagógico nas escolas estaduais de Guaratinguetá: um retrato do ano de 2009

Due to great importance of information and communication technologies in education, this work presents a quest about conditions of Computer Laboratory of state schools at Guaratinguetá. Also we listen to the math teachers and to the school’s director what they have to say on this trend and what they have made for integrate those technologies in classroom

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

Matematica e lingua materna: um estudo sobre utilização conjunta com atividades para o ensino fundamental

This work is a study and a repost on a possible way that can be worked together Mathematics and Native Language, presenting activities for the middle school, trying to make teaching more interesting, dynamic and playful. The work presents proposal for activities based on stories from the book “O Homem que calculava” by Malba Tahan, with questionnaires to be answered by the students and guidance for teachers on how to apply these activities in the classroom. Applications of these activities were carried out and this work also includes analysis and records of them

Atividades exploratório-investigativas em sala de aula de cálculo I com uso de tecnologia

This study presents the results from a qualitative resource, based on research-action methodology, which examined the innovate teaching practices implementations in the Calculus I during 2011 year. The analysis of collected data from three used sources – an initial questionnaire, an exploratory-investigative classroom, and an interview with some students at the end of the second semester – reveals that the students had appropriated of the technological recourses, using it as a tool to look for the knowledge. The investigative activities with the use of information technologies made the use of multiple representations in solving mathematical tasks, making the transition of numerical, algebraic and geometrical results possible for the students when they have looking for validation of their hypotheses and conjectures during mathematical problems solving. This works helped in the insertion of new practices in the discipline, and their results validate the proposal presented by the teacher, which is the discipline of Calculus use, whose character is strongly linked to the training content of the student, as a discipline whose can contributed to the pedagogical formation of the graduation student, leading him to know the Mathematical Education possibilities, specially the Mathematical Investigation - Solving Problems, in the outlook of dialogued classes where the teacher assumes the facilitator role and where the students become actives in their pursuit of knowledge

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

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

Contação de histórias e educação crítica: uma proposta didática

This proposal offers a possibility of approximation of mathematical knowledge at the prospect of Critical Education defended by researchers such as Ole Skovsmose and Paulo Freire. Using storytelling as a methodological resource is intended to develop an activity that allows students to think critically about real-life situations that have democratic questions as ground. The research is part of the branch of mathematics concerned with the education goals of teaching mathematics in basic education. We discuss the relevance of an educational process that enables the development of a democratic competence in the first years of primary education by showing students that their classroom can and should be seen as a community, where everyone has rights and duties. The interpretation and understanding of real situations can be something very complex and uninteresting for students of that age, looking for an attractive feature such as storytelling, which is based on the tendency of Reading and Writing in Mathematics, proposed by Nacarato and Lopes; Cardoso and Fonseca. Adopting a phenomenological attitude in the research seeks to understand if the storytelling can contribute to the formation of the critical student. Assuming this perspective has developed a didactic sequence from the story 'o que os olhos não vêem' from writer Ruth Rocha. The student's writing, favored by the proposed sequence, subsidizes the understanding of their thinking and acting on the democratic situations

A calculadora como ferramenta de aprendizagem

This paper talks about the importance of the calculator as an aid to student learning, being a powerful educational tool when used properly by the teachers. It‟s also exposed some issues related to the calculator to better understand concepts that help the student learning. As a last activity there is an applied research with Math Teachers at Ana Fausta de Moraes school in Guaratinguetá town, SP, in order to expose the reality about the use of the calculator as a teaching resource

Um estudo sobre a implementaçã odo programa etnomatemática no contexto escolar

This research aims to present the Ethnomathematics Program, created by D'Ambrosio (1984), as a proposal for the teaching of mathematics, making it contextualized, meaningful and a program able to form critical and creative citizens, capable of transform reality. By presenting from Ethnomathematics perspective the conception of the activities, scholar curriculum and current evaluation system, a possibility of innovation on nowadays education system is opened, a system that is characterized by D'Ambrosio as obsolete. For the implementation of this proposal, a change on the teacher's attitude appears as necessary, a new attitude that makes active interferences during the learning process, and uses previous knowledge acquired by the student throughout their experiences as a starting point on teaching process. The approach between Ethnomathematics perspective and Mathematics Program provides a better opportunity for the students to construct mathematical knowledge. It is important to emphasize that the Ethnomathematics is as an interdisciplinary as a transdisciplinary program, which means that the Program is not restricted just for education and development of mathematics

Aprendizagem dos alunos de 5º ano do ensino fundamental em aritmética e suas dificuldades na resolução de problemas com estrutura multiplicativa

The topic in this work involving the resolution of problems with structure multiplicativa emerged from discussions carried out on the difficulties encountered by students of the first cycle of the Fundamental School in Mathematics, mainly in respect of the arithmetic. The research had as objective to investigate the main difficulties presented by these students when they are faced with a task for a resolution of problems with multiplicativa structure. Were participants, in the first stage of the study, 20 students of the fifth year of the Fundamental School of a state school of public education of the State of Sao Paulo. These students have an assessment containing ten problems with structure multiplicativa answered a questionnaire regarding of mathematics. In the second stage, were selected two students to participate in the think aloud. The data analysis showed that the difficulties presented by the participants were: 1- difficulty to read and interpret the set of problems; 2- select the operation correct; 3- to operate correctly; 4 – Trouble writing

O uso do material manipulativo Tangram e de jogos como estratégias de motivação para a aprendizagem de frações

In this research, we analyzed the use of manipulative materials and games as motivators tools that facilitate the comprehension of fractions content when presented to a class of students from the 9th grade from a public school in Guaratinguetá-SP city. The students are 14 and 17 years old. Initially we presented the benefits that could bring manipulative materials for teaching and learning with understanding, followed by historical accounts of the Tangram material. We show the advantages of the games, when properly used in activities classroom. The game titled Dominoes fractions using the Tangram was applied in order to check if students retook properly the fractions contents. This research was motivated students to participate in math classes and this motivation may have promoted the understanding of the contents worked

Sobre o teorema de fibração de Milnor

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Teorema de Riemann-Roch, morfismos de Frobenius e a hipótese de Riemann

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