Arthur Benjamin : The magic of Fibonacci numbers

Arthur Benjamin at TEDGlobal 2013
The magic of Fibonacci numbers  (transcript)
Summary
What a beautiful number line it is!
I didn't know about Fibonacci numbers, but I  could answer a question why we should learn difficult mathematics. My friends often said that they wouldn't need it for their everyday life, my answer was that it must affect our ways of thinking, though.
l didn't have better scores of mathematics in school, however, l liked mathematics.
l love thinking about solving quizzes ingeniously, and l think that it teaches me that using my brain create new things.

The speaker also tells us why we learn mathematics. The reasons are calculations, application, and inspiration. He wants us to have the opportunity to know that mathematics is very fun. It must make us excited.

Fibonacci number: when some squares are gathered and one rectangle is created, it appears beautiful patterns about the side lengths and the areas.