Browsing Matemática Licenciatura - ML by Title
Now showing items 7-26 of 30
-
A construção dos números reais desenvolvida por Richard Dedekind
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/04/2021)In this work, we will study the emergence of incommensurability during classical antiquity and understand how this discovery was important for the development of real number theory during the arithmetic movement of analysis. ... -
Construção dos números reais: embasamento teórico e experiências na escola
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/02/2024)The presented research will focus on the construction of real numbers (R) through Dedekind cuts its use in education, with experiences in high school classes at a public school in São Carlos. The overall objective of the ... -
Criptografia RSA: aspectos históricos e matemáticos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/06/2021)This work studies aspects of RSA public key cryptography and its relationship with number theory, in particular with the properties of prime numbers. The methodology is based on bibliographical research. The study is based ... -
O ensino de sistemas lineares baseado na teoria de resolução de problemas de Polya
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)he aim of this work is to analyze the teaching materials of Dante e Viana (2008) and Iezzi e Hazzan (2019), indicated for Basic Education by the National Textbook Program (PNLD), with the help of the filing methodology. ... -
Estudo das envolventes de curvas com aplicações no Geogebra
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 29/04/2022)In this work we will study several families of plane curves and their envelopes. We present the methods that make it possible to obtain the envelopes for parameterized curves and for equations involving parameters. Two ... -
Estudo de ferramentas estatísticas para a análise de itens em relatórios pedagógicos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/04/2022)This degree final monograph the analysis of math items in pedagogical reports of external evaluations. In this direction, it is pointed out in the literature that math teachers have difficulties in interpreting and in ... -
Um estudo investigativo sobre as dificuldades dos professores de Matemática iniciantes do ensino remoto
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)Many researchs bring reports of difficulties that beginning teachers faces in the classroom with face-to-face teaching, such as lonelyness, lack of preparation to deal with students, with educational management, among ... -
O homem que calculava: uma abordagem recreativa para o ensino de matemática e suas dramatizações em sala de aula
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 30/09/2022)The motivation and unfolding of this monograph is to address 4 problems from the book The Man Who Counted, analyzing and characterizing the conceptions that the author had in his time and that persist until today, for ... -
Uma introdução aos espaços métricos e aos espaços vetoriais normados
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/02/2024)In this work, we present an introduction to Metric Spaces, starting with the definition and examples, defining and understanding the primary concepts of this context, such as open and closed balls, open and closed sets as ... -
Uma introdução aos inteiros gaussianos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/11/2021)This monograph presents the principles of number theory, formally establishing important arithmetic facts that characterize the systems in question. It sought to develop theory in an axiomatic way, from the principles of ... -
Matemática financeira no cotidiano dos brasileiros
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 08/01/2021)This monograph is a study of topics on Financial Education – its history, the nowadays brazilian panorama on this subject, the National Strategy on Financial Education (ENEF) and the DICTs (Digital Information and Communication ... -
Matemática financeira: o Modelo de Markowitz
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)The aim of this work is to present a mathematical introduction to the main concepts involved in Markowitz Theory. The portfolio selection developed by Markowitz shows the importance of asset portfolio diversification, ... -
Métodos numéricos aplicados a dinâmica orbital
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 24/11/2021)In this dissertation we aim to study the applications of numerical methods to orbital dynamics, among which the main ones are the 4th order Runge-Kutta and debugging via manufactured solution. A brief introduction to the ... -
Modelagem matemática e a BNCC do Ensino Médio
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/11/2021)This Course Conclusion Work aims to build relationships between the work with mathematical modeling according to the concepts of Bassanezi (2002) and Burak (1992), and the learning objectives proposed by the High School's ... -
Números irracionais e suas particularidades
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 27/09/2022)In this work we present the main numerical sets: natural, integers, rational, irrational and real, focusing on the set of irrational numbers. We approach its historical part, the most famous examples and the proof of their ... -
A OBMEP e a perspectiva da resolução de problemas
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 26/04/2022)This work is a study on the use of questions from the Brazilian Mathematics Olympiad in Public Schools (OBMEP) in the Problem Solving Perspective and its transposition to the classroom with the use of manipulative material. ... -
Problema de dois corpos na mecânica celeste
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 07/01/2021)The objective of this work is to study celestial mechanics by retracing the mathematical foundations of Kepler's three laws, in connection with Newton's law of gravity, as to describe the planetary orbits as conic sections, ... -
Proposta de atividades para o ensino da matemática financeira
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 30/09/2022)This work presents some activities on financial mathematics. The activities were developed with three groups of students of high school in a public school and it were based on real data, which help students to have a ... -
Uma proposta didática para o ensino de áreas e volumes
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 03/04/2023)This monograph discusses plane and spatial geometry in order to investigate the approach of the topics of areas and volumes in selected textbooks, as well as to study the theoretical prerequisites and the Cavalieri's ... -
A representação decimal fracionária de números reais: aspectos teóricos e históricos
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 21/06/2021)In this work we carry out a study on the history and concepts of development of the decimal representation of real numbers, which probably started with works by Simon Stevin in La Theinde (The tenth) in 1585 (STEVIN, 1997), ...