The Padovan Sequence Hybridization Process: An Experience In The Undergraduate Mathematics Course At The IFCE

Hybrid numbers, linear and recurring sequences are generating a hybridization process in the sequence area. In this paper, an application of the Padovan sequence hybridization process is presented in an initial Mathematics teacher training course, based on Didactic Engineering with a focus on Didact...

ver descrição completa

Detalhes bibliográficos
Autores: Vieira, Renata Passos Machado, Mangueira, Milena Carolina dos Santos, Sousa, Rosalide Carvalho de, Silva, José Gleison Alves da, Alves, Francisco Regis Vieira
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Brasil
Recursos:Universidade Federal de Santa Catarina (UFSC)
Repositorio:Revemat - Revista Eletrônica de Educação Matemática
Idioma:portugués
OAI Identifier:oai:periodicos.ufsc.br:article/88164
Acesso em linha:https://periodicos.ufsc.br/index.php/revemat/article/view/88164
Access Level:acceso abierto
Palavra-chave:Campo epistêmico-matemático
Contrato didático
Didática Matemática
Transposição didática
Epistemic-Mathematical Field
Didactic Contract
Mathematical Didactics
Didactic Transposition
Descrição
Resumo:Hybrid numbers, linear and recurring sequences are generating a hybridization process in the sequence area. In this paper, an application of the Padovan sequence hybridization process is presented in an initial Mathematics teacher training course, based on Didactic Engineering with a focus on Didactic Situations Theory. In view of this, one of the theorems addressed in this research is selected and a problem situation is elaborated involving the concept of Binet's variant formula. With this application, it aims to stimulate the understanding and intuitive side of students in formation, without losing the mathematical and historical rigor, thus presenting as an evolution of this object of study.