A importância do ensino de algumas desigualdades clássicas no ensino médio

• Ano de defesa: 2021
• Autor(a) principal: Maia Filho, José Fabrício
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Palavras-chave em Português: Desigualdades entre médias; Álgebra - Problemas, questões, exercícios; Cauchy-Schwarz; Bernoulli; Ensino médio; Inequalities between averages; Algebra - Problems, exercises etc.; High school
• Link de acesso: http://www.repositorio.ufc.br/handle/riufc/57766

In this work, I propose problem solving techniques involving mathematical inequalities, which I incorporated into my classes as the professional maturation was consolidated. As these are accessible and efficient techniques that facilitate the resolution of many extreme value problems, making math classes dynamic and attractive, I decided to materialize these techniques in this work. I think the teacher is destined to study continuously, since in order to qualify its actions, break barriers and leverage lives, it is necessary that you have a broad knowledge of what is teaches. All knowledge of this work is derived from some properties of numbers real, where I demonstrate some theorems and consequences. Then, to better establish knowledge, I show the validity of some inequalities and apply to some numerical, algebraic, geometric and trigonometric. Finally, I conclude the research, addressing some applications seen in entrance exams in our country. Due to the absence of the chosen theme in high school textbooks, I think that, this monograph will be a tool that will promote moments of reflection, action and transformation. Therefore, I emphasize, the importance of the aforementioned ideas, being explored in high schools in our country.