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Master's Dissertation
DOI
Document
Author
Full name
Liliane Soares de Siqueira Feola
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2016
Supervisor
Committee
Milies, Francisco Cesar Polcino (President)
Ferraz, Raul Antonio
Pietropaolo, Ruy César
Title in Portuguese
Tópicos elementares de teoria de códigos como motivação para o ensino da divisibilidade
Keywords in Portuguese
Código de barras
Código de identificação
Divisibilidade
Abstract in Portuguese
Este trabalho tem como objetivo oferecer ao professor de matemática subsídios que permitam desenvolver atividades pedagógicas relacionadas aos conceitos básicos de divisibilidade de números inteiros. Para tanto, optou-se por desenvolvê-las de modo a possibilitar ao aluno a compreensão das ideias matemáticas envolvidas na detecção de erros de digitação em códigos numéricos utilizados nos códigos de barras e também no RG, CPF e ISBN. Vale ressaltar que tais atividades foram inspiradas nas metodologias de Resolução de Problemas e Atividades Investigativas embora, em alguns momentos, fizeram-se necessárias determinadas adaptações de acordo com o conteúdo. Assim, munidos desses elementos, os professores poderão dar aos alunos a oportunidade de desenvolver habilidades e competências da teoria elementar de números, aprimorar seus conhecimentos relacionados a situações do cotidiano e explicitar relações entre matemática e tecnologia. Este trabalho busca, também, despertar o interesse do aluno, que fica motivado ao perceber a aplicabilidade, no cotidiano, dos conceitos matemáticos aqui tratados.
Title in English
Elementary topics of coding theory as a motivation for teaching divisibility
Keywords in English
Bar code
Divisibility
Identification code
Abstract in English
The main objective of the work is to develop educational activities related to the basic concepts of divisibility of integral numbers, providing tools to math school teachers. The way those concepts were presented, creates the proper environment for the student to understand the mathematic logic behind the detection of typing errors in numerical codes, like for example: barcodes, RG, CPF and ISBN. It is noteworthy that the methodology used was inspired by problem solving and investigative activities although, adjustments were made in order to comply with the content. Thus, it is expected that teachers will be able to provide opportunities to their students to develop skills and competences on the domain of elementary number theory, improve their knowledge on daily situations and explain the relationship between mathematics and technology. This work also seeks to arouse the interest of the students, who get motivated when they realize the applicability in daily life of the mathematical concepts covered here.
 
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Publishing Date
2019-09-26
 
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