Licenciatura em Matemática (Sede)
URI permanente desta comunidadehttps://arandu.ufrpe.br/handle/123456789/24
Siglas das Coleções:
APP - Artigo Publicado em Periódico
TAE - Trabalho Apresentado em Evento
TCC - Trabalho de Conclusão de Curso
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Resultados da Pesquisa
Item Cálculo de área dos triângulos e quadriláteros: um estudo sobre as fórmulas de Heron e Brahmagupta(2023-12-18) Santos, Ricardo Araújo dos; Souza, Cícero Monteiro de; http://lattes.cnpq.br/7540654793551489; http://lattes.cnpq.br/7957290918342325The present work aims to make a historical analysis of the calculation of areas of triangles and quadrilaterals. Initially, a brief history of mathematics was necessary, more specifically of Geometry in ancient civilizations such as: Mesopotamia, Egypt, India and Greece from Thales of Miletus (c. 624 – 546 B.C.) and Pythagoras (c. 585 – 500 B.C.). In Greece, the areas of plane figures were systematized and recorded in the 13 books of Euclid's Elements. In the 1st century, the mathematician Heron of Alexandria (c.10 – 70 A.D.) came up with a formula to calculate the area of any triangle, requiring only knowledge of its perimeter. In the 7th century, using as a basis the knowledge left by Heron, Brahmagupta (598 – 668) created a formula to determine the area of any quadrilateral when its sides were known. Later, with the advancement of trigonometry, it was found that Brahmagupta's formula was valid only for cyclic or inscribable quadrilaterals.Item Ensino e aprendizagem dos polígonos regulares: uma abordagem lúdica sobre os movimentos de simetria no ensino fundamental(2022-10-19) Amorim, Welisson de Almeida; Silva, Thiago Dias Oliveira; http://lattes.cnpq.br/7439995985621562; http://lattes.cnpq.br/3297151195837218The teaching of geometry in elementary school is linked to the visualization of the geometric object and essential mathematical notions. When possible, one should co-relate physical objects with the theory in order to establish a better understanding for the students. Thus, this work uses this argument for its construction and addresses an intimate relationship with the use of physical objects and theory. This work focuses on presenting the teaching and learning process of regular polygons about their symmetry movements. Given in a systematic way, this process is given through the relationship with the theory of dihedral groups and the use of playful materials that permeate children’s daily lives. In particular, such materials are related to the character “Patrick Estrela" from the children’s series “SpongeBob” and a children’s board game called “Gometric board”. Regular polygons but also their characteristics. Speaking of which, a very important characteristic of regular polygons is their invariant form when rotation and reflection movements are applied. Hence, this work uses this property and the physical/playful objects already mentioned to establish a better assimilation in the teaching and learning about regular polygons When formulated, such relationships will be applied in a 6th grade elementary school class, explaining at the end all the results of the intervention.