¿Cuál fue el aporte de la sucesión de Fibonacci en la teoría de números y en la solución de problemas creativos y sencillos en las áreas STEM? : Proyecto de Grado

Abstract

The Fibonacci sequence is a very simple series that was stated by Leonardo of Pisa, a Greek mathematician of the 12th century that made great contributions in the number theory, consisting of the branch of mathematics that studies whole numbers and their properties, as he introduced the numbers that we currently use and the basic operations with these. Despite being a very simple progression, it has many properties and applications in our daily lives because it can be seen not only in mathematics, such as in the Pascal’s Triangle, but also in nature, in the human body, and in human creations, including the organization of the seeds of some plants (like sunflowers), the outline of galaxies and hurricanes, the measure of our hands’ phalanges, the beauty of human beings, the Greek Parthenon, and the Mona Lisa. However, many people don’t have any knowledge about this sequence or its importance when explaining many of the phenomena that we witness daily. Moreover, this project pretends that a greater variety of individuals acquire knowledge of it. Because of this, the present work exhibits the basic concepts of the Fibonacci Sequence and the number theory with the objective of revealing the contributions of this progression in this division of mathematics. On the other hand, it will also be established if this succession can help in the solution of creative and simple problems in the STEM areas by using questionnaires applied to ninth and tenth grade students of Marymount School, where they will need to use the knowledge they gained on this sequence (explained through a video) and their basic knowledge of mathematics.