Construção de Conceitos Matemáticos na Educação Básica numa Abordagem Peirceana

Peircean semiotic analysis is employed to examine the construction/representation of signs-thinking of 32 early elementary school students regarding the concept of length measurement. The work consisted of developing concepts of standard unit, reading and interpretation of measurement by instruments, so that the mathematical language presented in the concrete materials was being signified and re-signified as a tool for perception and representation of new concepts. The pedagogical triad Feeling-Perceiving, Relating-Concept (F-P/R/C) co-related with the dynamism of the semiosis process, defined by Charles Sanders Peirce (1839-1914) in his semiotic theory on the production of the sign (Object, Representamen and Interpretant), enabled the interpretation and analysis of the students' inferences in the phase of perception (feel, admire), induction (experience), and deduction (concept).

Um Ensaio Sobre História Oral e Educação Matemática: pontuando princípios e procedimentos

Recently, we can perceive an intensification of assignments developed into Mathematical Education with the use of oral history as a research methodology. In this article, facing the living experiences during the preparation of our Phd tasks and later, when we had the role of advisors of scientific papers and of Postgraduate students in their researches also using the same methodology, we discussed the implication of ethics, mathematical education and oral history. Furthermore, we enunciated possibilities of the posture of the researcher before interviews, texts and iconography - photos and several images-provided by collaborators of our projects on Oral history and Mathematical Education.

Contribuições da CADES para a Educação (Matemática) Secundária no Brasil: uma Descrição da Produção Bibliográfica (1953-1971)

The so called Campaign for the Improvement and Diffusion of High School (in Portuguese, CADES) took place between 1953 and 1971, in Brazil. During this period, the Campaign published or helped publish dozens of books, in different teaching areas, and several of them were located by the authors of this article. These books guided high school teachers with respect to curriculum planning, legal aspects and methods of teaching. In this article, we contextualize historically this Campaign and also mention its objectives. We briefly describe some of the books found - especially those related to the teaching of mathematics - in order to open perspectives for future approaches and research that can be done based on this written material. Our main aim is to discuss its orientations and to provide ingredients that enable the construction of considerations related to this perspective of training mathematics teachers during a period when there were few colleges and universities to prepare teachers in Brazil.

Avaliação de Interações entre Professor e Alunos na Educação Matemática: ensino e aprendizagem de recursos pedagógicos

The aim of this paper is to discuss the teachers' need, as autonomous professionals, to evaluate their own pratice. Considering that Descriptive Functional Analysis (DFA) may be a pedagogical method for analysis, implementation, and change of teachers' mathematics teaching practices, the objective of the present research was to teach repertoires compatible with DFA to two mathematics teachers in elementary schools of São Paulo state. When teachers are responsible for evaluation and self evaluation, they recognize themselves as fundamental agents of transformation in education.

Cistatina C e taxa de filtração glomerular em cirurgia cardíaca com circulação extracorpórea

OBJETIVO: Avaliar a cistatina C como marcador de função renal em pacientes submetidos à cirurgia de cardíaca com circulação extracorpórea, comparando com a dosagem sérica de creatinina. MÉTODOS: Foram analisados 50 pacientes consecutivos submetidos à cirurgia de revascularização do miocárdio. A função renal foi avaliada com a dosagem sérica de cistatina C e de creatinina no pré-operatório, no primeiro e no quinto dia de pós-operatório. Foram utilizadas as fórmulas de Cockcroft-Gault (CG) e Modification of Diet in Renal Disease (MDRD) para calcular a taxa de filtração glomerular estimada (TFG) através da creatinina, e a fórmula de Larsson para a TFG estimada através da cistatina C (TFG-Cis). RESULTADOS: A creatinina e o TFG através das fórmulas de CG e MDRD não mostraram diferença significativa nos momentos estudados. Após a agressão renal pela cirurgia, houve um aumento da cistatina C no 1º e 5º pós-operatório, sendo que no 5º pós-operatório com diferença estatisticamente significativa (P < 0,01). Houve uma queda da TFG estimada pela cistatina C de 105,2 ± 41,0 ml/min, no pré-operatório, para 89,5 ± 31,5 ml/min no 5º dia pós-operatório (P < 0,012). CONCLUSÃO: A cistatina C e a TFG-Cis apresentaram mudanças significativas no pós-operatório de cirurgia de revascularização do miocárdio quando comparadas a creatinina e a respectiva TFG estimada pelas fórmulas de Cockcroft-Gault e MDRD

Mensurações do bulbo ocular e cálculo do poder dióptrico de lentes intraoculares em coelhos

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

Análise de Bolton: uma proposta alternativa para a simplificação de seu uso

INTRODUÇÃO: as discrepâncias entre o tamanho mesiodistal dos dentes superiores e inferiores e seus efeitos sobre a oclusão têm sido relatados há muito tempo. O método proposto por Bolton para o diagnóstico de discrepância de tamanho dentário é, inegavelmente, um dos mais difundidos no meio ortodôntico, devido à sua relativa simplicidade. Entretanto, a aplicação desse método requer cálculos matemáticos e o uso de tabelas que, muitas vezes, inviabilizam a sua utilização durante a avaliação clínica. OBJETIVO: avaliar o método proposto por Wolford, que não requer o uso de tabelas, como alternativa ao método tradicional de Bolton. MÉTODOS: a amostra foi composta por 90 pares de modelos dentários iniciais de pacientes adultos, com diferentes más oclusões. A proporção entre os dentes inferiores e superiores foi calculada para cada paciente, resultando na obtenção de dois índices (a razão total e a razão anterior). Os índices foram obtidos por meio do método originalmente proposto por Bolton e por um método alternativo, composto por duas fórmulas (uma simplificada e a variação da mesma), que foram analisadas separadamente. RESULTADOS: comparadas ao método de Bolton, as fórmulas simplificadas mostraram uma tendência de superestimar as discrepâncias dentárias inferiores (total e anterior), embora em pequena proporção. CONCLUSÕES: ambas as fórmulas do método alternativo podem ser utilizadas em substituição ao método tradicional, uma vez que mostraram diferenças médias menores que 0,58mm quando comparadas ao método de Bolton, não apresentando, portanto, significância clínica.

Respostas do lactato sanguíneo e da freqüência cardíaca em duas diferentes provas do automobilismo

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

Schur-SzegA composition of entire functions

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

Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

One-loop N-point superstring amplitudes with manifest d=4 supersymmetry

The hybrid formalism for the superstring is used to compute one-loop amplitudes with an arbitrary number of external d = 4 supergravity states. These one-loop N-point amplitudes are expressed as Koba-Nielsen-like formulas with manifest d = 4 supersymmetry. (C) 2002 Published by Elsevier B.V. B.V.

Critical temperature for first-order phase transitions in confined systems

We consider the Euclidean D-dimensional -lambda vertical bar phi vertical bar(4)+eta vertical bar rho vertical bar(6) (lambda,eta > 0) model with d (d <= D) compactified dimensions. Introducing temperature by means of the Ginzburg-Landau prescription in the mass term of the Hamiltonian, this model can be interpreted as describing a first-order phase transition for a system in a region of the D-dimensional space, limited by d pairs of parallel planes, orthogonal to the coordinates axis x(1), x(2),..., x(d). The planes in each pair are separated by distances L-1, L-2, ... , L-d. We obtain an expression for the transition temperature as a function of the size of the system, T-c({L-i}), i = 1, 2, ..., d. For D = 3 we particularize this formula, taking L-1 = L-2 = ... = L-d = L for the physically interesting cases d = 1 (a film), d = 2 (an infinitely long wire having a square cross-section), and for d = 3 (a cube). For completeness, the corresponding formulas for second-order transitions are also presented. Comparison with experimental data for superconducting films and wires shows qualitative agreement with our theoretical expressions.

Dynamics of Bose-Einstein condensates in cigar-shaped traps

The Gross-Pitaevskii equation for a Bose-Einstein condensate confined in an elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space coordinate along the trap axis. The radial distribution of the condensate density and its radial velocity are approximated by Gaussian functions with real and imaginary exponents, respectively, with parameters depending on the axial coordinate and time. The effective one-dimensional system is applied to a description of the ground state of the condensate, to dark and bright solitons, to the sound and radial compression waves propagating in a dense condensate, and to weakly nonlinear waves in repulsive condensate. In the low-density limit our results reproduce the known formulas. In the high-density case our description of solitons goes beyond the standard approach based on the nonlinear Schrodinger equation. The dispersion relations for the sound and radial compression waves are obtained in a wide region of values of the condensate density. The Korteweg-de Vries equation for weakly nonlinear waves is derived and the existence of bright solitons on a constant background is predicted for a dense enough condensate with a repulsive interaction between the atoms.

On the Baker-Akhiezer function in the AKNS scheme

Expressions for the Baker-Akhiezer function and their logarithmic space and time derivatives are derived in terms of the matrix elements of U - V matrices and 'squared basis functions'. These expressions generalize the well known formulas for the KdV equation case and establish links between different forms of the Whitham averaging procedure.