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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2023.tde-05042023-151209
Document
Author
Full name
Carlos Elizandro Correa
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2023
Supervisor
Committee
Dias, Ires (President)
Barbosa, Grazielle Feliciani
Bonotto, Everaldo de Mello
Nascimento, Érica Regina Filletti
Title in Portuguese
Aplicações de congruência, possibilidades para o ensino de Matemática no Ensino Fudamental II
Keywords in Portuguese
: Divisibilidade
Aritmética modular
Dígitos verificadores, Calendário.
Teoria dos números
Abstract in Portuguese
Apesar de o estudo de congruências estar voltado ao Ensino Superior, nosso objetivo neste trabalho é defender que é possível articular a Teoria dos Números com a prática de professores da Educação Básica, mais especificamente, nos anos finais do Ensino Fundamental II. O trabalho aborda a fundamentação teórica dos números, divisibilidade, congruências e apresentamos aplicações em sistemas de identificação com seus dígitos verificadores, código de barras, CPF, ISBN-13 e calendário. Por fim, são apresentadas possibilidades de atividades a serem aplicadas sobre os conceitos mencionados, com problemas relacionados ao cotidiano do aluno.
Title in English
Applications of congruence, possibilities for teaching Mathematics in Elementary School II
Keywords in English
Calendar.
Check digits
Divisibility
Modular arithmetic
Number theory
Abstract in English
Although the study of congruences is focused on Higher Education, our objective in this work is to defend that it is possible to articulate the Theory of Numbers with the practice of Basic Education teachers, more specifically, in the final years of Elementary School II. The work addresses the theoretical foundation of numbers, divisibility, congruences and we present applications in identification systems with their verification digits, bar code, CPF, ISBN-13 and calendar. Finally, possibilities of activities to be applied on the mentioned concepts are presented, with problems related to the students daily life.
 
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Publishing Date
2023-05-11
 
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