SQUARING THE CIRCLE AND CUBATE THE SPHERE WITH GEOGEBRA IN HIGH SCHOOL

• Autor(a) principal: Bortoli, Adriana de
• Data de Publicação: 2023
• Outros Autores: Silva, Ricardo Scucuglia Rodrigues da, Yassunaga, Edwin Jun Iassanori, Sato, Nadya Sofia Kuriyama
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Revista Reamec
• Texto Completo: https://periodicoscientificos.ufmt.br/ojs/index.php/reamec/article/view/16747
• topic: História da Matemática; Tecnologias Digitais; Estética; Ensino Médio; GeoGebra; History of Mathematics; Digital Technologies; Aesthetics; High school; GeoGebra; Historia de las Matemáticas; Tecnologías digitales; Estética; Escuela secundaria; GeoGebra

In this paper we present the results of a research developed from a knowledge mobilization course offered to high school students in a public school in a city in the interior of the State of São Paulo, Brazil. The investigation aimed to explore possible articulations between the history of mathematics and the use of digital technologies in the application of tasks aimed at teaching and learning mathematics. Specifically, considering a problem present in the Rhind Papyrus, the squaring of a circle was explored, and consequently the cubature of a sphere, using the GeoGebra software. The procedures involving data production and analysis involved the following aspects: qualitative case study, recording and analysis of videos, analysis of written and digital records of the participants, field notes and data triangulation. We verified emerging exploratory resolutions/strategies in previous studies, pointing out a reflection on the construction differences in a 2D and 3D environment. In exploring the squaring of the circle, we discuss aspects related to the participants' preferences in developing simulations/experiments using the computer or cell phone. In the exploration of the cubature of the sphere, we highlight the mobilization of algebraic thinking to solve geometric problems. This study contributes to research on questions about the history of mathematics interface and the use of digital technologies, pointing out possibilities for the development of aesthetic experiences.