Banca de DEFESA: JOÃO VICTOR LIMA FERNANDES

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
DISCENTE : JOÃO VICTOR LIMA FERNANDES
DATA : 31/10/2018
HORA: 16:00
LOCAL: 70
TÍTULO:

MODULAR ARITHMETICS TEACHING IN BASIC EDUCATION AND POSSIBLE APPLICATIONS

PALAVRAS-CHAVES:

Modular Arithmetic. Basic education. Teaching.

PÁGINAS: 44
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

The main purpose of this work is to present modular arithmetic, a content commonly seen in higher education, and show through examples of applications that this topic could be taught in basic education. We will show a little of the history of modular arithmetic, the theory needed to understand the basic ideas of the subject, and see some basic textbooks that address divisibility criteria beyond MMC and MDC. The presence of such subjects in books of this level could be used as a motivation for the introduction of more general concepts of modular arithmetic. We will also show some problems of admission exams and olympics that can be solved using modular arithmetic. In addition, we have listed a number of applications of the theory developed in the work and the study of how to apply them to understand the creation of ISBN and CPF numbers and why the traditional `` ninth proof '' has fallen into disuse. Further examples of division of polynomials using modular arithmetic will be seen. In the end, we hope that this paper has shown some of the benefits that teaching modular arithmetic in basic education can bring to students.

MEMBROS DA BANCA:
Presidente - 1241552 - FRANCISCO DE ASSIS BENJAMIM FILHO
Interno - 2103207 - FRANCISCO PEREIRA CHAVES
Interno - 1549923 - MARIA SILVANA ALCANTARA COSTA