Plane and Space figurate numbers: visualization with the GeoGebra´s help

Abstract

The study and interest of figurate numbers can be observed even in ancient Greece. On the other hand, it becomes very important the historical understanding about an evolutionary process and the particular generalization of such 2D, 3D and m-D figurate numbers and they remain the interest of current scientific investigations. On the other hand, in Brazil, when we talk about Mathematics Education, the component of visualization acquires more and more relevance for the teaching. In this way, in the present work, we present a proposal of discussion of the figure numbers, with idea that the understanding of arithmetic, algebraic and geometric properties can be facilitated with the use of GeoGebra software and it´s use by the mathematical teacher.

Didactic tool for experimental demonstration with ‘Gigante’ forage cactus pear

“…For Alves and Barros (2019), organizing the knowledge as a model allows closely representing the investigated object. A three-dimensional model on a smaller scale, either virtual or physical, serves as support for all areas of knowledge, providing the student with a holistic and isometric vision about the object while giving the teacher insight into students' understanding of the subject being taught.…”

“…From a pedagogical standpoint, to make the scientific knowledge easier to assimilate, interpret and effectively understand, the researcher must make an effort through didactic resources and innovating tools to meet the purposes of a study. The art of representing the scientific knowledge as an alternative to the traditional model renders the pedagogical process more efficient (Alves and Barros, 2019).…”