2026-05-122026-05-122026-08-19PEREIRA, Rosângela da Silva. Proporção áurea para o ensino básico: uma proposta de apostila para o ensino. Orientador: Renato Germano Reis Nunes. 2025. 44 f. Trabalho de Curso (Licenciatura em Matemática) – Faculdade de Matemática, Campus Universitário de Castanhal, Universidade Federal do Pará, Castanhal, 2025. Disponível em: https://bdm.ufpa.br/handle/prefix/9542. Acesso em:.https://bdm.ufpa.br/handle/prefix/9542This paper discusses the origin, evolution, and applications of the Fibonacci sequence as well as the golden ratio, highlighting the historical, natural, mathematical, and artistic contexts. It also presents suggestions for didactic activities that explore the theme in a practical and interdisciplinary manner. Based on the perspective of Mario Livio in his book The Golden Ratio, the objective of this work is the development of a scientific booklet on the subject. The first chapter addresses the origin of the Fibonacci sequence, from the Sanskrit poetry of Acharya Pingala in ancient India to the rabbit problem discussed by Leonardo of Pisa (Fibonacci), contextualizing its discovery and providing practical examples involving the sequence, thus connecting mathematics to everyday situations. The second chapter explores the golden ratio starting from Euclid’s definition in The Elements and its connection to the Fibonacci sequence. The chapter discusses its properties, geometry, manifestations in nature, and curiosities. The third chapter delves into the presence of the golden ratio in various forms of art, including music, painting, architecture, photography, and even literature. Finally, the fourth chapter presents playful activities that can be used both in the classroom and in interdisciplinary projects, showing that mathematics, beyond numbers, can reveal universal patterns of beauty and organization.Acesso AbertoFibonacciRazão áureaNúmero de ouroGolden ratioGolden numberCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICATrabalho de Curso - Graduação - Monografia