The educational object is a review of an academic master's dissertation in science and mathematics education of the Federal Institute of Education, Science and Technology of the State of Ceara, bringing the application of two methodologies, being: Didactics, and other teaching - Theory of Didactic Situations. This review is divided into 3 topics: Methodology and the Fibonacci Model, Epistemic-Mathematical Field and Data Collection and Analysis. However, the process of Fibonacci sequence complexification, applied in the initial teacher training course, is carried out through didactic transposition.

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.

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