Positive Solution for a Class of Degenerate Quasilinear Elliptic Equations in R-N

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Before dividing we have to add: inter-viewing the foregrounds of indigenous students

Students' cultural diversity is an important factor to consider in a mathematics education concerned with equity. We argue that the significance of mathematics education is not only given by the understanding of mathematical concepts but also by students' foreground, that is, the students' perception of their future possibilities in life as made apparent to the individual by his/her social-political context. For students in a cultural borderline position, different reasons and intentions for engaging in mathematics learning may be related to the construction of meaning in mathematics. Through inter-viewing Brazilian Indian students' foreground, we illuminate the different types of significance given to mathematics education in their particular situation.

The Relationship between Authors and Main Thematic Categories in the Field of Knowledge Organization: A Bibliometric Approach

This is a study about the relationships between authors and the main thematic categories in the papers published in the last five International ISKO Conferences, held between 2002 and 2010. The aim is to map the domain as ISKO conferences are considered the most representative forum in the field. The published papers are considered to indicate the relationships between authors and themes. The Classification Scheme for Knowledge Organization Error! Bookmark not defined Literature (CSKOL) was used to categorize the papers. The theoretical and methodological foundations of the study can be found in the concept of domain analysis proposed by Hjorland. The analysis of the papers (n=146) led to the identification of the most productive authors, the networks representing the relationships between the authors as also the categories that constitute the primary areas of research.

Fourier series for quaternions and the square of the error theorem

In this paper we introduce a type of Hypercomplex Fourier Series based on Quaternions, and discuss on a Hypercomplex version of the Square of the Error Theorem. Since their discovery by Hamilton (Sinegre [1]), quaternions have provided beautifully insights either on the structure of different areas of Mathematics or in the connections of Mathematics with other fields. For instance: I) Pauli spin matrices used in Physics can be easily explained through quaternions analysis (Lan [2]); II) Fundamental theorem of Algebra (Eilenberg [3]), which asserts that the polynomial analysis in quaternions maps into itself the four dimensional sphere of all real quaternions, with the point infinity added, and the degree of this map is n. Motivated on earlier works by two of us on Power Series (Pendeza et al. [4]), and in a recent paper on Liouville’s Theorem (Borges and Mar˜o [5]), we obtain an Hypercomplex version of the Fourier Series, which hopefully can be used for the treatment of hypergeometric partial differential equations such as the dumped harmonic oscillation.

Contando uma história: ficcionando uma dissertação sobre a relação entre professor e aluno

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O jogo de escopa adaptado para o uso em sala de aula

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

As matemáticas modernas: um ensaio sobre os modos de produção de significado ao(s) movimento(s) no ensino primário brasileiro

The main goal of this paper is to discuss the production of meaning of the Modern Math Movement. The main sources were data available in school archives and interviews with former teachers that we use in order to focus on the diversity of perspectives -that complement it or oppose it-, which comes up when teachers refer to the Movement. Using this process of signification, teachers whether accept it, invalidate it or adapt it to guidelines imposed to them in their teaching activities. We establish a methodology by following the premises of Oral History to gather oral testimonies. The theoretical foundations in which this article is written are the guidelines of Paul Ricoeur’s Hermeneutics, John Thompson’s Depth Hermeneutics and Bolívar’s narrative analysis.

The interactive whiteboard in primary school: a case study of a brazilian district school

Interactive whiteboards (IWB) consist of a set of technological equipment organized in order to fulfill a specific task, enabling the development of didactic activities. Because they are associated to computers’ potentiality, interactive whiteboards can provide bigger interactivity between: teacher and students, students and content, and among students. This work’s main objective is to present some of the results yielded from a research related to the way students perceive interactive whiteboards in the classroom. In order to analyze the IWB usage dynamics, some educational applications in the field of mathematics were applied in the 3rd grade of elementary school. Aside from observation, video recordings were made and students were interviewed about the interactive whiteboard, in order to understand how these students observe and engage with the technological tool. IWB do not transform classroom’s reality by themselves, however, their physical presence and usage amount to external reinforcement can change student’s behavior positively.

Fundamentos de geometria hiperbólica

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)