Building the circle in taxicab Geometry: a creative insubordination proposal

• Autor(a) principal: Cavalcante, Raimundo Nonato Barbosa
• Data de Publicação: 2020
• Outros Autores: Oliveira, Jobson de Queiroz
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Revista de Ensino de Ciências e Matemática - REnCiMa
• Texto Completo: https://revistapos.cruzeirodosul.edu.br/rencima/article/view/2692
• topic: Círculo; Geometria do Taxi; Insubordinação Criativa; Circle; Taxicab Geometry; Creative Insubordination

The Geometry is a branch of Mathematics whose concepts work the shape, size and position of figures related to space, presented different types. In this branch, some concepts differentiate the characteristics of the object, such as the circle, depending on what type of geometry it is intended to work with. The objective of this study was to present the circle shape in taxicab geometry, developed by Hermann Minkowski, as well based in cartesian plane which the cartesian coordinate system is used but with its own characteristics. The content was not part of the school curriculum, so the researcher used Creative Insubordination in the quest to break curricular paradigms and introduced the taxicab geometry concept. For to conduct this exploration was used workshops how teaching methodology where it was shown, through contextualized activities, the differences between distance in Euclidean geometry and taxicab geometry, concluding with obtaining the figure of the circle from the definition already known.  Through the activities, relevant topics from this study were presented, awakening the student to reflect on mathematical content already established as a possibility for new discoveries and a better understanding of reality.