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    • Problema de dois corpos na mecânica celeste 

      Antunes, Lucas Vinicius (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, ...

    • Matemática financeira no cotidiano dos brasileiros 

      Silva, Conrado Valdovando da (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 ...

    • A construção dos números reais desenvolvida por Richard Dedekind 

      Zanni, Rafaela Aparecida Camarinho (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. ...

    • A representação decimal fracionária de números reais: aspectos teóricos e históricos 

      Abreu, Lia Oliveira de (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), ...

    • Criptografia RSA: aspectos históricos e matemáticos 

      Camargo, Raphael Vinícius Gonçalves (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 ...

    • Teorema de Green e suas aplicações 

      Gonçalves, Stephanie Raira (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/06/2021)
      This monograph addresses as its main theme Green’s Theorem, a sophisticated result that shows an equality relation between a double integral of a region and a line integral around it. With a more didactic explanation, we ...

    • Métodos numéricos aplicados a dinâmica orbital 

      Antunes, Lucas Vinicius (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 ...

    • Uma introdução aos inteiros gaussianos 

      Ferreira, Raphael Elias Toledo (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 ...

    • Utilização do modelo pictórico da Matemática de Singapura em resoluções de problemas para os 5o e 6o anos do ensino fundamental, dentro da proposta curricular do estado de São Paulo 

      Sprovieri, Luis Henrique (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/11/2021)
      Teaching mathematics is a challenge for both educators and students. It is usual to notice the lack of interest of students in Mathematics, especially when it is associated with letters and symbols, missing its real meaning. ...

    • O ensino de sistemas lineares baseado na teoria de resolução de problemas de Polya 

      Garcia, Rafaela Fernandes (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. ...

    • Modelagem matemática e a BNCC do Ensino Médio 

      Dameto, Christian Roberto (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 ...

    • Um estudo investigativo sobre as dificuldades dos professores de Matemática iniciantes do ensino remoto 

      Simonato, Letícia (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 ...

    • Uma análise de elementos matemáticos presentes na gravura Melancolia I de Albrecht Dürer: poliedro, esfera e quadrado mágico 

      Paulo, Luís Guilherme Oliveira (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 23/12/2021)
      This monograph addresses as its main theme Albrecht Dürer's Melancholia I, an engraving that is full of philosophical and mathematical meanings. With a didactic and mathematical approach, we aim to contextualize the ...

    • Estudo de ferramentas estatísticas para a análise de itens em relatórios pedagógicos 

      Baptista, Isabela Maria Melle (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 ...

    • A OBMEP e a perspectiva da resolução de problemas 

      Didone, Larissa Maria Aquino (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. ...

    • Estudo das envolventes de curvas com aplicações no Geogebra 

      Lemos, Guilherme Mendes (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 ...

    • Análise de itens de matemática do ENEM Digital via taxonomia de Bloom 

      Tamborlin, Julia Ribeiro (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 27/09/2022)
      The Revised Bloom Taxonomy (RBT) allows classifying the actions necessary for the examinee to obtain a satisfactory performance in solving items through their cognitive aspects. In the scenario of Computerized Tests, ENEM ...

    • Números irracionais e suas particularidades 

      Garcia, Hévila Maria Gabriel (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 ...

    • Retratos de fase de sistemas de equações diferenciais lineares com coeficientes constantes de até terceira ordem 

      Ventura, Gabriel Lacerda (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 28/09/2022)
      This study was developed with the intention of investigating the phase portraits of all linear systems with constant coefficients up to third order. For this purpose, we will determine the systems solutions, perform an ...

    • O homem que calculava: uma abordagem recreativa para o ensino de matemática e suas dramatizações em sala de aula 

      Manzini, Tatiana Agenor (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 ...