Fibonacci Numbers and Golden Ratio- Teaching through the History of Mathematics

Abstract

The Fibonacci sequence is named after Italian mathematician Leonardo Bonacci, commonly known as Fibonacci from Republic of Pisa. Fibonacci numbers are widely used in computer algorithms such as the Fibonacci search techniques and graphs termed as Fibonacci cubes used for interconnecting parallel and distributed systems. Mostly, the Fibonacci numbers are used in biological settings. The main aim of the present study is to explore the Fibonacci numbers through its historical view as it will not only be inspiring but more significant to a large group of students as they are concerned in knowing who, how and why about certain theorems and definitions that they use daily in Fibonacci sequences.