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A Short Biography of Fibonacci

Fibonacci Sketch by Kristin Palm

Also referred to as Leonard of Pisa, Fibonacci was an Itallian number theorist. It is

believed that Fibonacci was born in 1170 (approximately) and that he died in 1250.Fibonacci was born in Italy but obtained his education in North Africa.

However, Fibonacci is considered to be one of the most talented mathematicians for theMiddle Ages. Few people realize that it was Fibonacci that gave us our decimal numbersystem (Hindu-Arabic numbering system) which replaced the Roman Numeral system.When he was studying mathematics, he used the Hindu-Arabic (0-9) symbols instead ofRoman symbols which didn't have 0's .

The Fibonacci Sequence which is what he remains famous for to this day. The

sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55... This sequence, shows that each number isthe sum of the two preceding numbers. It is a sequence that is seen and used in manydifferent areas of mathematics and science.

ContributionsFibonacci is famous for his contributions to number theory.

In his book, Liber abaci he introduced the Hindu-Arabic place-valued decimalsystem and the use of Arabic numerals into Europe.

He introduced us to the bar we use in fractions, previous to this, the numerator

has quotations around it.The square root notation is also a Fibonacci method.

It has been said that the Fibonacci numbers are Nature's numbering system and apply tothe growth of living things, including cells, petals on a flower, wheat, honeycomb, pinecones and much more.

His Books:Liber Abbaci (The Book of Calculation), 1202 (1228)Practica Geometriae (The Practice of Geometry), 1220Liber Quadratorum (The Book of Square Numbers), 1225

Flos (The Flower), 1225

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CUESTIONES

Cul era el verdadero nombre de Fibonacci: _____________________________

Dnde naci? ____________________________________________________

Dnde estudi?___________________________________________________

En qu siglos vivi, qu poca era?___________________________________

Cuntos aos vivi?_______________________________________________

Escribe los doce primeros trminos de la sucesin de Fibonacci

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Cmo se obtiene cada trmino de la sucesin de Fibonacci?________________

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Seala tres contribuciones importantes de Fibonacci a la teora de los nmeros:

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Por qu se dice que los nmeros de Fibonacci son el sistema de numeracin de

la Naturaleza?_____________________________________________________

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Cita el ttulo de tres libros escritos por Fibonacci. ________________________

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1.-Traza un rectngulo cuyos lados midan 8 y 21. Recrtalo por las marcas que semuestran en la figura.Con las piezas que queden construye un cuadrado cuyo lado mida 13

. Calcula el rea del rectngulo. Calcula el rea del cuadrado

Son iguales las reas?Qu est sucediendo? es correcto el resultado que obtuviste?Tendr algo que ver que 8, 13 y 21 sean nmeros consecutivos de la sucesin deFibonacci?

2.-Toma una hoja de papel cuadriculado. Recorta cuadrados de lado 1,1,2,3,5,8,13 Traza un cuarto de circunferencia en cada cuadrado, como se indica en la figura.

Recorta los cuadrados y colocalos en espiral. Tendrs la espiral de Fibonacci o espiralde oro.

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Una vez hemos visto la pelcula, ve a Unidad de red genrica, carpetaAA_MAT3ESOA-> Fibonacci. Lee los documentos de la carpeta DOCUMENTOS.Abre la carpeta PGINAS WEB. Lee los documentos de las pginas: El ubicuoFibonacci, fibonacci y los trucos de Fibonacci. Despus abr e Maths experiencings.Elige EXPERIMENTALS EN CASTELLANO. Ve a la pestaa Leer La Naturaleza

Abre la pestaa Espirales en la NaturalezaCon toda la informacin haz dos pequeas redacciones:REDACCIN 1. FIBONACCI Y SU SUCESIN______________________________________________________________________

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REDACCIN 2. EL NMERO DE ORO Y LARAZN AREA

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