O uso da lógica booleana matemática no ensino básico

The main objective of this dissertation is to explore and insert the use of Logic Boolean in Basic Education Mathematics classes and its contribution to development of logical reasoning and problem-solving skills in students in this range age. To this end, it brings a theoretical approach to the sub...

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Detalhes bibliográficos
Autor: SANTOS, Mauro Roberto Rosa dos
Tipo de documento: dissertação
Estado:Versão publicada
Data de publicação:2024
País:Brasil
Recursos:Universidade Federal do Maranhão (UFMA)
Repositório:Biblioteca Digital de Teses e Dissertações da UFMA
Idioma:português
OAI Identifier:oai:tede2:tede/5674
Acesso em linha:https://tedebc.ufma.br/jspui/handle/tede/5674
Access Level:Acceso aberto
Palavra-chave:educação matemática;
lógica booleana matemática;
ensino básico;
mathematics education;
boolean logic mathematics;
elementary school.
Matemática
Descrição
Resumo:The main objective of this dissertation is to explore and insert the use of Logic Boolean in Basic Education Mathematics classes and its contribution to development of logical reasoning and problem-solving skills in students in this range age. To this end, it brings a theoretical approach to the subject and the implementation of a set of simply formulated tasks to help students develop communication skills critical thinking, problem solving and logical reasoning. It was initially presented a brief history of the emergence of mathematical Boolean algebra, then we discussed mathematical sentential logic exploring important definitions such as arguments, propositions, the basic principles of logic, construction of truth tables, connectives logic, logical equivalences, logical diagrams and argument validations. Right away Mathematical Boolean Logic was presented, its properties, identities, theorems and logical expressions. We conclude our study by presenting applications aimed at for Basic Secondary and Elementary Education.