Modelagem matemática e tecnologias digitais na aprendizagem da teoria dos conjuntos Fuzzy no ensino médio

Resumo

The aim of the work is to propose a didactic sequence to introduce the teaching of fuzzy sets theory in high school, having as a motivation the rupture of a tailings dam. The methodology uses communications technologies that utilize digital information and interactivity. Fuzzy logic is introduced and the main differences with classical mathematical logic are highlighted. Students build, with the help of an expert in hydraulics and sanitation, a Fuzzy Rule-Based System, using the free software FisPro, which controls the risk of rupture or risk of leakage of the tailings from the dam. An acrylic model was built of a dam prototype, with the aid of a 3D printer. Thus, students interact, using a smartphone, with a sensor placed on the dam, entering data from the input variables of the Fuzzy Rule-Based System. The input variables of this system are: age, height and volume of tailings from the dam. Depending on the output value of this system, the dam will break a number of colored gel balls, which represent the tailings. This didactic sequence was applied in a short course for high school students. The evaluation of the content learning was carried out through a game created in the free software RPG Maker. The results of the quantitative assessment were significant. It is noteworthy that the most important thing is to introduce a theory that mathematically considers uncertainty using digital technologies and a current issue.

Dados da obra

Tipo

Dissertação (mestrado)

Instituição

UFU

Ano

2022 (2022-03-10)

Idioma

pt

Palavras-chave

Conjuntos Fuzzy; Barragem de rejeitos; Internet das coisas; Ensino; fuzzy sets; tailings dam; internet of things; teaching; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA; CNPQ::CIENCIAS HUMANAS::EDUCACAO; CNPQ::CIENCIAS HUMANAS::TEOLOGIA; Ciência - Estudo e ensino; Conjuntos difusos; Barragens de rejeitos - Tecnologia industrial; fuzzy set theory; mathematical modeling; digital technologies; mathematics education; high school mathematics

Temas

Avaliação, Modelagem Matemática, Tecnologias Digitais

DOI

10.14393/ufu.di.2022.207

Handle

https://repositorio.ufu.br/handle/123456789/35012

Acesso

Download disponível

Fontes

BDTD/IBICT; OpenAlex

Na Biblioteca desde

01/10/2026 · verificada em 03/10/2026