https://tede.unioeste.br/handle/tede/3947 2026-06-16T17:07:05Z 2026-06-16T17:07:05Z PARAIZO, Ricardo Medeiros de Andrade https://tede.unioeste.br/handle/tede/8381 2026-04-24T12:38:18Z 2025-11-25T00:00:00Z

Title: Áreas e perímetros do círculo utilizando aproximações: uma aplicação do método da exaustão Autor: PARAIZO, Ricardo Medeiros de Andrade Primeiro orientador: Papani, Fabiana Magda Garcia Abstract: This work aims to present the Exhaustion Method as the transition between classical geometry and the modern concept of limit. It develops a historical and mathe matical analysis, highlighting the contributions of Eudoxus of Cnidus and Archimedes of Syracuse, who used this method to determine the areas and perimeters of curved figures, approximating the value of the number π. By constructing regular polygons inscribed and circumscribed within a circle, it is demonstrated that, as the number of sides increases, their areas and perimeters tend, respectively, to the values of π and 2π. This approach demonstrates the idea of successive approximation and the in tuitive origin of the concept of limit. It is concluded that the Method of Exhaustion represents an important link between antique geometric thought and the development of infinitesimal calculus, in addition to constituting a relevant teaching tool for understan ding the fundamentals of geometry and mathematical analysis. Publisher: Universidade Estadual do Oeste do Paraná Tipo do documento: Dissertação

2025-11-25T00:00:00Z Bontempo, Luana https://tede.unioeste.br/handle/tede/8251 2026-02-24T12:21:05Z 2025-11-17T00:00:00Z

Title: O Ensino de geometria na educacâo Básica: abordagens históricas, conceituais e tecnológicas Autor: Bontempo, Luana Primeiro orientador: Vicente, Amarildo de Abstract: Geometry plays a central role in the history of mathematics and in intellectual formation, contributing to the development of spatial reasoning, abstraction, and logical argumentation. However, its teaching in Brazil faces challenges, especially due to the predominance of traditional methodologies, which often hinder understanding and discourage students. This study aims to investigate and propose didactic strategies for the teaching of geometry in Basic Education, articulating three complementary dimensions: historical, conceptual, and pedagogical. Initially, a historical review of the evolution of geometry is carried out, from ancient civilizations to Greek systematization and its influences on modern science. Next, fundamental concepts of plane geometry are discussed, such as point, line, angle, polygons, and triangles, approached from a didactic perspective that values conceptual understanding and problem solving. Finally, active methodologies supported by digital technologies are presented, with emphasis on the GeoGebra software and its interaction with problems designed by the author, which contributes to classroom teaching as a way to make learning more investigative, interactive, and meaningful. Thus, the dissertation shows that the combination of historical, conceptual, and pedagogical foundations, mediated by digital resources, can help overcome recurring difficulties in the teaching of geometry, promoting greater engagement, autonomy, and the development of critical thinking among students. Publisher: Universidade Estadual do Oeste do Paraná Tipo do documento: Dissertação

2025-11-17T00:00:00Z Gonçalves, Bruno https://tede.unioeste.br/handle/tede/7764 2025-04-10T22:35:38Z 2025-02-14T00:00:00Z

Title: Estudo teórico da Programação Linear e Modelagem Matemática como estratégia de ensino Autor: Gonçalves, Bruno Primeiro orientador: Conejo, Paulo Domingos Abstract: n this study, we explore the use of Linear Programming Problems (LPPs), a topic traditionally covered only in Higher Education, as a teaching tool for students in High School. This approach is supported by the Base Nacional Comum Curricular, focusing on Mathematical Modeling as a teaching strategy. We present the main LPP theorems and their respective proofs. Additionally, we implemented the Simplex Method in the Python programming language to solve problems aimed at maximizing the objective function with inequality constraints of the type less or equal. Finally, we propose LPPs that can be applied in High School, along with their modeling, graphical solutions, and computational support. Our goal is to highlight the educational relevance and potential of LPPs in Mathematics teaching, as they can motivate students addressing aspects of Mathematics related to practical situations. Publisher: Universidade Estadual do Oeste do Paraná Tipo do documento: Dissertação

2025-02-14T00:00:00Z Gehlen, Jardel Jose https://tede.unioeste.br/handle/tede/7714 2025-03-13T16:54:05Z 2024-12-06T00:00:00Z

Title: Proposta de um banco de questões de matemática contextualizado para a educação do campo em linha ao novo ensino médio do Paraná Autor: Gehlen, Jardel Jose Primeiro orientador: Lazo, Pablo Durand Abstract: The dissertation consists of proposing a question bank for teaching mathematics in rural high schools in Paraná. Initially, the historical moment experienced by rural education was contextualized. Subsequently, the guiding documents for the implementation of the New High School, at the national and state levels, were investigated in order to reveal the gap existing in the materials available for rural education in Paraná, and that the material proposed here attempts to fill. Later, based on official documents and the literature, the choice of contextualization as the principle that guided the development of the exercises present in the educational product was supported, and the process of creating it was discussed. Finally, the question bank is presented composed of 192 new exercises developed from the field context. Publisher: Universidade Estadual do Oeste do Paraná Tipo do documento: Dissertação

2024-12-06T00:00:00Z