O uso de elementos da criptografia como estímulo matemático na sala de aula

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

O Raciocínio lógico-matemático: classificação e uso em concursos públicos

This study offers an analysis of classification of the main issues of logic and logical thinking found in competitive tendering and math tests, according to their concepts and characteristics, whether involving mathematics, or not. Moreover, a research on the evolutionary historic processes of logic according to three major crises of the foundations of mathematics was conducted. This research helped to define Logic as a science that is quite distinctive from Mathematics. In order to relate the logical and the mathematical thinking, three types of knowledge, according to Piaget, were presented, with the logical-mathematical one being among them. The study also includes an insight on the basic concepts of propositional and predicative logic, which aids in the classification of issues of logical thinking, formal logic or related to algebraic, and geometric or arithmetic knowledge, according to the Venn diagrams. Furthermore, the key problems - that are most frequently found in tests are resolved and classified, as it was previously described. As a result, the classification in question was created and exemplified with eighteen logic problems, duly solved and explained

A Aplicação de um modelo matemático na resolução de um problema de carregamento de paletes

Global competitiveness has been increased significantly in the last decade and, as consequence, companies are always looking for developing better processes in supply chain operations in order to maintain their competitive costs and keep themselves in the business. Logistics operations represent a large part of the product's final cost. Transportation can represent more than fifty percent of final cost sometimes. The solutions for cutting and packing problems consist in simple and low investment actions, as enhancing the arrangement of the transported load in order to decrease both material and room wastes. As per the presented reasons, the objective of this paper is to show and analyze a real application of a mathematical model to solve a manufacturer pallet-loading problem, comparing results from the model execution and the solution proposed by the company studied. This study will not only find the best arrangement to load pallets (which will optimize storage and transportation process), but also to check the effectiveness of existing modeling in the literature. For this study a computational package was used, which consists of a modeling language GAMS with the CPLEX optimization solver and two other existing software in the market, all of them indicating that an accurate mathematical model for solving this kind of problem in a two-dimensional approach is difficult to be found, in addition to a long execution time. However, the study and the software utilization indicate that the problem would be easily solved by heuristics in a shorter execution time

Cálculo mental e a produção do conhecimento matemático

This text presents the research developed with students of the 5th year of elementary school at a public school in the city of Taubaté-SP, involved in solving problems involving the Mental Calculation. The read authors show that the Mental Calculation is relevant for the production of mathematical knowledge as it favors the autonomy of students, making it the most critical. Official documents that guide educational practices, such as the Parâmetros Curriculares Nacionais also emphasize that working with mental arithmetic should be encouraged as it has the potential to encourage the production of mathematical knowledge by the student. In this research work Completion of course the tasks proposed to students, who constituted the fieldwork to production data, were designed, developed and analyzed in a phenomenological approach. The intention, the research was to understand the perception of students in the face of situations that encourage them to implement appropriate technical and mental calculation procedures. We analyze how students express and realize the strategies for mental calculation in the search for solution to problem situations

Modelagem fuzzy de dados climáticos estimados por modelo matemático - CCATT-BRAMS

Pós-graduação em Engenharia Mecânica - FEG

A relação entre a álgebra acadêmica e a álgebra escolar em um curso de licenciatura em matemática: concepções de alunos e professores

Pós-graduação em Educação - FCT