Narrativas de Práticas Pedagógicas de Professoras que Ensinam Matemática na Educação Infantil

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

Educação Matemática e Sociedade

The paper's aim is to justify the creation of the line of research Mathematics Education and Society in the Graduate Program of Mathematics Education (PPGEM), UNESP (Rio Claro, SP). In a brief history of the constitution of the mathematics education community, the categories culture and society were emphasized. A brief summary of sociology is presented, drawing on classical sociologists and contemporary authors. The group EMsociedade is presented, and its purpose, which is to be part of the PPGEM to establish a space for discussions between students and supervisors from the Graduate Program, elementary and middle school teachers, and others who have interest in the subject. One of the arguments defended by the group is presented: institutionalized mathematical knowledge in the Twentieth Century is a commodity. Finally, some future considerations are outlined, including the expectation that the line of research Mathematics Education and Society will be included in the PPGEM.

O ensino de matemática: uma proposta para a aprendizagem dos números

The objective of this study is an analysis of the actions of teacherand students when inserted in the teaching-learning in mathematics classes in a class of third year of elementary school. A didactic proposal construction, was developed taking into account the history of the number as a human, considering its evolution through its conceptual nexus, so that the teaching-learning process would enable the construction of theoretical thought. This paper presents a brief study of teacher education, specifically early carrer, basing themselves in difficulties and knowledge of teaching practice and curriculum framework that guided the didactic proposal. Thus, not only students but also teachers are undergoing training. From the study for the preparation of didactic proposal, the proposal development process in teaching and learning skills and analysis of actions, it was possible to follow the movement of formation of a teacher-researcher in early carrer

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

Competências do professor no processo de ensino-aprendizagem de língua estrangeira

In this article we discuss competences demanded from the foreign language teacher for him or her to perform in the teaching-learning process efficiently. Our reflections are based mainly on Paulo Freire (2001), Philippe Perrenoud (2000), Edgar Morin (2003), Maurice Tardif (2002) and Almeida Filho (1999), providing, in this way, a reflective dialogue among studies that focus on teachers’ competences. The main objective is a better understanding of the necessary knowledge about teaching practices so that foreign language teachers’ actions can meet the needs of education at present. We expect to highlight important issues in the development of the aforementioned competences, and suggest that their development can contribute for better language teaching.

Como é possível o conhecimento matemático: uma análise a partir da epistemologia genética

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

Desenvolvimento de um sistema on line de avaliação para análise do desempenho escolar: um estudo exploratório sobre avaliação em rede

Pós-graduação em Educação Escolar - FCLAR

Resolução de problemas e linguagem em EJA

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

Desencantamento do mundo e ética na ação pedagógica: reflexões a partir de Max Weber

This article has a theoretical character and presents some of Weber's ideas, with emphasis on those that can supply elements to reflect on the current state of education, more particularly based on his understanding of modernity. Disenchantment of the world is the key concept in his sociology, and is taken as the basis for a reflection about the meaning that science and the teacher can have today. A classic author, Weber's interpretation of the modern world brings to our consideration a variety of themes that influence markedly the thinking and practice of contemporary culture by its concern with understanding human actions and values. By studying the Western process of rationalization, he initiates debates in science, in ethics and, correspondingly, in education, allowing us to expand our comprehension of the meaning, significance, and role of our actions towards knowledge and teaching. The main object of education is to offer students contents that stimulate the freedom of thought. For that, the teacher needs to adopt a non-partisan ethics in the classroom, presenting contents unbiased by her/his political opinions and, if failing to do so, having the honesty to explain what she/he is doing. It is therefore of the utmost importance that the teacher should keep a neutral position, so that in and out of the classroom the students may reflect and question what they see, experiment and decide upon. Only then the conduct of the teacher will be consistent with the process of rationalization of our culture.

A geometria euclidiana na licenciatura em matemática do ponto de vista de professores formadores

Pós-graduação em Educação Matemática - IGCE

A classificação das disciplinas matemáticas e a Mathesis Universalis nos séculos XVI e XVII: um estudo do pensamento de Adriaan van Roomen

Pós-graduação em Educação Matemática - IGCE

Modelagem Matemática e Análise de Modelos Matemáticos na Educação Matemática

In this paper we present two studies, the first one completed and the second one in development, which are based in teaching approaches that propose the qualitative study of mathematical models as a strategy for the teaching and learning of mathematical concepts. These teaching approaches focus on subjects from Higher Education such as Introduction to Ordinary Differential Equations and Topics of Differential and Integral Calculus. We denominate this common aspect of the teaching approaches as Model Analysis and in a preliminary level we relate it with Mathematical Modeling. Furthermore, we discuss some questions related with the choice of the theme and the role of Digital Technologies when Model Analysis is applied.

Conhecimentos presentes na disciplina de análise nos cursos de licenciatura em Matemática no Brasil

Pós-graduação em Educação Matemática - IGCE

Three dimensional finite element simulation of polymer melting and flow in a single-screw extruder : optimization of screw channel geometry

Single-screw extrusion is one of the widely used processing methods in plastics industry, which was the third largest manufacturing industry in the United States in 2007 [5]. In order to optimize the single-screw extrusion process, tremendous efforts have been devoted for development of accurate models in the last fifty years, especially for polymer melting in screw extruders. This has led to a good qualitative understanding of the melting process; however, quantitative predictions of melting from various models often have a large error in comparison to the experimental data. Thus, even nowadays, process parameters and the geometry of the extruder channel for the single-screw extrusion are determined by trial and error. Since new polymers are developed frequently, finding the optimum parameters to extrude these polymers by trial and error is costly and time consuming. In order to reduce the time and experimental work required for optimizing the process parameters and the geometry of the extruder channel for a given polymer, the main goal of this research was to perform a coordinated experimental and numerical investigation of melting in screw extrusion. In this work, a full three-dimensional finite element simulation of the two-phase flow in the melting and metering zones of a single-screw extruder was performed by solving the conservation equations for mass, momentum, and energy. The only attempt for such a three-dimensional simulation of melting in screw extruder was more than twenty years back. However, that work had only a limited success because of the capability of computers and mathematical algorithms available at that time. The dramatic improvement of computational power and mathematical knowledge now make it possible to run full 3-D simulations of two-phase flow in single-screw extruders on a desktop PC. In order to verify the numerical predictions from the full 3-D simulations of two-phase flow in single-screw extruders, a detailed experimental study was performed. This experimental study included Maddock screw-freezing experiments, Screw Simulator experiments and material characterization experiments. Maddock screw-freezing experiments were performed in order to visualize the melting profile along the single-screw extruder channel with different screw geometry configurations. These melting profiles were compared with the simulation results. Screw Simulator experiments were performed to collect the shear stress and melting flux data for various polymers. Cone and plate viscometer experiments were performed to obtain the shear viscosity data which is needed in the simulations. An optimization code was developed to optimize two screw geometry parameters, namely, screw lead (pitch) and depth in the metering section of a single-screw extruder, such that the output rate of the extruder was maximized without exceeding the maximum temperature value specified at the exit of the extruder. This optimization code used a mesh partitioning technique in order to obtain the flow domain. The simulations in this flow domain was performed using the code developed to simulate the two-phase flow in single-screw extruders.

Modelo para la toma de decisiones sobre los contenidos curriculares de la Organización del Conocimiento en programas académicos de Bibliotecología, Documentación o Ciencia de la Información

Se presenta un modelo para decidir los contenidos curriculares de la Organización del Conocimiento en carreras de Bibliotecología, Documentación y Ciencia de la Información, orientado principalmente al Mercosur. Para el diseño del modelo se tuvieron en cuenta los contenidos mínimos recomendados por los encuentros de directores y docentes de escuelas de Bibliotecología del Mercosur, la llamada corriente de ISKO y los aportes de distintos autores relacionados con ambas fuentes. El modelo consta de tres categorías primarias: fundamentos, aplicaciones y ética de la Organización del Conocimiento. Los fundamentos se consideran desde un abordaje multidimensional. Las aplicaciones se dividen en tres categorías primarias: a) construcción de sistemas de organización del conocimiento, b) descripción de contenido y c) gestión de calidad de la Organización del Conocimiento. La ética también se divide en tres categorías secundarias: compromiso ético, valores éticos y problemas éticos. El modelo debe entenderse como un molde vacío que necesita llenarse con los contenidos que decida cada carrera o cada espacio curricular y se espera que facilite la evaluación, actualización y comparación de esos contenidos. Tiene la limitación de basarse en las recomendaciones del Mercosur y la corriente de ISKO, que no son aceptadas por todos los especialistas