Combining artificial intelligence and human problem solving: Proposing a new architecture for ITS's

This paper shows a comparative study between the Artificial Intelligence Problem Solving and the Human Problem Solving. The study is based on the solution by many ways of problems proposed via multiple-choice questions. General techniques used by humans to solve this kind of problems are grouped in blocks and each block is divided in steps. A new architecture for ITS - Intelligent Tutoring System is proposed to support experts' knowledge representation and novices' activities. Problems are represented by a text and feasible answers with particular meaning and form, to be rigorously analyzed by the solver to find the right one. Paths through a conceptual space of states represent each right solution.

Um novo jogo para o estudo do raciocínio combinatório e do cálculo de probabilidade

We present an educational proposal for the study of combinatorial reasoning and calculation of probabilities based on a game and problem solving methodology, aiming to support the teaching of mathematical content. A review of the literature related to the teaching and learning of the concepts of combinatorial reasoning and probability is presented. The game is original, using a board game similar to Tic-tac-toe, and the movements of its parts have some similarities, in particular those made with the rook and pawn pieces of the game of chess. We formulate various activities (problems) involving the game which, in the process of solving them, using the problem solving methodology and with the appropriate intervention of the teacher, encourage students to develop strategies for counting, an indispensable tool in the initial study of Combinatorial Analysis and Calculation of Probabilities.

Análise combinatória no ensino médio apoiada na metodologia de ensino-aprendizagem-avaliação de matemática através da resolução de problemas

Pós-graduação em Educação Matemática - IGCE

O ensino do conceito de integral, em sala de aula, com recursos da história da matemática e da resolução de problemas

Pós-graduação em Educação Matemática - IGCE

O ensino do conceito de função e conceitos relacionados a partir da resolução de problemas

Pós-graduação em Educação Matemática - IGCE

Educação continuada do catalogador na modalidade a distância: uma proposta alternativa

This paper presents a proposal for the teaching of cataloguing, emphasizing the problem-solving methodology. The proposal was designed for the distance-based continuing education of the professional cataloguer. It takes into account the challenges inherent to the development of interactive and inter-disciplinary tasks, as well as the development of directed self-education and critical consciousness of that professional, inasmuch as he becomes an active subject, manager of his/her own education.

A importância do planejamento financeiro: uma abordagem de matematica financeira para o ensino médio com o uso do excell

The financial health of a family is one of the main generators of quality of life, and this is only possible through financial planning, which is nothing more than save and analyze before contracting debts. To do this, students must have notion of financial mathematics, especially of that used by the banks on overdraft interest, in investments and in the short-term and longterm loans, that is, compound interest, equivalent rates, depreciation and others. Starting from the knowledge of arithmetic and geometric progressions and, based on real situations which allow the application of the content learned, one intends to develop activities applied to high education. To start from real situations is one of the main lines of thought of the Problem Solving Methodology, in which the student is the active agent in the construction of his or her knowledge. As the National Curricular Parameters point out, the practice in the use of computers is essential for gaining a job. Therefore, this project proposes an activity where knowledge of Financial Mathematics can to be practiced, associated with the use of Microsoft Excel® spreadsheet

O uso da Geometria do Táxi no ensino de Análise Combinatória

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Uma proposta de sequência didática para o ensino de Programação Linear no Ensino Médio

Pós-graduação em Matemática em Rede Nacional - IBILCE

Função afim e suas propriedades através da resolução de problemas

Pós-graduação em Matemática em Rede Nacional - IBILCE

Determinação da solução ótima do problema de fluxo de potência ótimo via análise de sensibilidade

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

Modelo operacional do estudo de caso como estratégia de ensino na disciplina de enfermagem médico-cirúrgica: avaliação dos alunos

O estudo trata-se de uma pesquisa descritiva, com o objetivo de avaliar as contribuições e dificuldades sentidas pelos alunos, na utilização do Modelo Operacional do Estudo de Caso, proposto pelas autoras como uma das estratégias de ensino utilizada pela disciplina de Enfermagem Médico-Cirúrgica. Para instrumentalizar e operacionalizar a análise de conteúdo das respostas concedidas pelos alunos, utilizamos da análise temática, segundo Bardin. Com a realização desta investigação concluímos que os alunos reconhecem o modelo como estratégia de ensino na formação dos mesmos, principalmente, quanto ao conhecimento teórico-prático da assistência (70%) que este oferece, estimulando-os à autonomia na tomada de decisões e solução de problemas na área, além de incentivá-los na utilização do acervo da biblioteca. A outra contribuição está relacionada ao conhecimento referente à metodologia científica (30%), onde o modelo emerge a eles como uma estratégia de iniciação a esta atividade. As dificuldades sentidas pelos alunos na elaboração do estudo de caso ocorreram nas seguintes etapas: - no levantamento bibliográfico (58%), principalmente, quanto a falta de bibliografia específica e recente na área de enfermagem e ao não acesso dos alunos da graduação aos índices informatizados: - na redação do trabalho(27%), porém ao mesmo tempo revelando que o estudo de caso propiciou conhecimentos básicos de como elaborar e escrever um trabalho científico; dentre outras (15%).

Fourth-order method for solving the Navier-Stokes equations in a constricting channel

A fourth-order numerical method for solving the Navier-Stokes equations in streamfunction/vorticity formulation on a two-dimensional non-uniform orthogonal grid has been tested on the fluid flow in a constricted symmetric channel. The family of grids is generated algebraically using a conformal transformation followed by a non-uniform stretching of the mesh cells in which the shape of the channel boundary can vary from a smooth constriction to one which one possesses a very sharp but smooth corner. The generality of the grids allows the use of long channels upstream and downstream as well as having a refined grid near the sharp corner. Derivatives in the governing equations are replaced by fourth-order central differences and the vorticity is eliminated, either before or after the discretization, to form a wide difference molecule for the streamfunction. Extra boundary conditions, necessary for wide-molecule methods, are supplied by a procedure proposed by Henshaw et al. The ensuing set of non-linear equations is solved using Newton iteration. Results have been obtained for Reynolds numbers up to 250 for three constrictions, the first being smooth, the second having a moderately sharp corner and the third with a very sharp corner. Estimates of the error incurred show that the results are very accurate and substantially better than those of the corresponding second-order method. The observed order of the method has been shown to be close to four, demonstrating that the method is genuinely fourth-order. © 1977 John Wiley & Sons, Ltd.

Concept of Matching Parallelepiped and its use in the correspondence problem

In this paper, the concept of Matching Parallelepiped (MP) is presented. It is shown that the volume of the MP can be used as an additional measure of `distance' between a pair of candidate points in a matching algorithm by Relaxation Labeling (RL). The volume of the MP is related with the Epipolar Geometry and the use of this measure works as an epipolar constraint in a RL process, decreasing the efforts in the matching algorithm since it is not necessary to explicitly determine the equations of the epipolar lines and to compute the distance of a candidate point to each epipolar line. As at the beginning of the process the Relative Orientation (RO) parameters are unknown, a initial matching based on gradient, intensities and correlation is obtained. Based on this set of labeled points the RO is determined and the epipolar constraint included in the algorithm. The obtained results shown that the proposed approach is suitable to determine feature-point matching with simultaneous estimation of camera orientation parameters even for the cases where the pair of optical axes are not parallel.

On the regular-geometric-figure solution to the N-body problem

The regular-geometric-figure solution to the N-body problem is presented in a very simple way. The Newtonian formalism is used without resorting to a more involved rotating coordinate system. Those configurations occur for other kinds of interactions beyond the gravitational ones for some special values of the parameters of the forces. For the harmonic oscillator, in particular, it is shown that the N-body problem is reduced to N one-body problems.