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The article reports on numerical sense, which refers to the ability to use numbers and operations in a flexible and consistent way, profiles in high school students. Students with numerical sense understand the relationships between numbers, perform mental calculations and use numbers effectively in real-world situations.

The article presents a brief professional note on Goro Shimura, who was a Japanese mathematician and Michael Henry Strater Professor Emeritus of Mathematics at Princeton University who worked in number theory, automorphic forms, and arithmetic geometry. He is also the father of one of the most transcendental conjectures of the modern Theory of Numbers.

In this work, some recreational aspects related to the Fibonacci sequence, as well as other recursive sequences, are shown. Moreover, in order to provide an educational application, some games and tricks based in the properties of that sequence are proposed. [ABSTRACT FROM AUTHOR]