HAND IN HAND WITH UNDERSTANDING: construction of regular polyhedrons with triangular faces

• DOI: 10.22533/at.ed.5582222219074

• Palavras-chave: Initial and continuing teacher education; Physical manipulative materials; Origami; schemes.

• Keywords: Initial and continuing teacher education; Physical manipulative materials; Origami; schemes.

• Abstract:

  The main objective of this work is to present a teaching proposal to approach Plato's polyhedra through structured didactic sequences, based on exploratory situations as a teaching methodology and a reflection on the procedures used during the manufacture of solids involving different techniques as a tool. education. The tasks were designed using different materials present in everyday life (paper, straws, toothpicks and string) to assemble and explore Plato's polyhedra that have triangular faces - tetrahedron, octahedron and icosahedron from the plans, from the reading of schemes to the assembly of the skeletons of the respective solids, and the folding in paper (origami). They were presented, in classrooms, to students of different levels of education, from Basic (6th and 9th grades, 2nd grade of High School) to Higher (mathematics and pedagogy students). The work developed with high school students aimed to differentiate between faces and sides, edges and sides, angles, polygons and the identification of Euler's formula, and with the undergraduates, to study and reflect on the different ways of approaching the solid in order to realize that different resources promote different approaches and mathematical meanings. The work was organized aiming to provide experiences and prioritizing reflections on the construction of spatial geometry concepts, approaching both the construction of solids and the analysis of their properties evidenced according to the material used. Although the presentation of different alternatives for the classroom may generate some concern with the objectives of mathematics, its appropriation, and with didactic-pedagogical aspects that cover the teacher's work, the experience of tasks of this type offers an opportunity for students to learn and question specific vocabulary in addition to developing spatial perception, visualization and observation and representation of mathematical relationships. 

• Número de páginas: 29