# Algebraic Advancements Through Time

### Originating from "al-jabr" (Fink)

## al-Khwarizmi and Fibonacci al-Khwarizmi (0780) - Author of "The Compendious Book on Calculation by Completion and Balancing"; also giving us the term algebra. Fibonacci (1170) - Translated it and brought it to Europe. | ## Descartes and Fermat along with Euler Descartes and Fermat (1637) - Developers of Analytic Geometry Euler (1770) - "Elements of Algebra" | ## Woods and Gauss, Boole, and Gibbs Woods and Gauss (1798) - Proofs for the Fundamental Theorem of Algebra Boole (1847) - Boolean Algebra Gibbs (1901) - Vector Calculus (Fink) |

## al-Khwarizmi and Fibonacci

Fibonacci (1170) - Translated it and brought it to Europe.

## Descartes and Fermat along with Euler

Euler (1770) - "Elements of Algebra"

## Using the History of Algebra in the Classroom

- Al-jabr, meaning “completion”, is the process of removing the negative terms.
- Al-muqabala, meaning “balancing”, is the process of reducing the equation by getting like terms on the same side of the equation and then combining the like terms.

Algebra Tiles is a great way to let the students be introduced to these terms.

## The Process of Using the Algebra Tiles

## How Algebra Relates to Other Math Strands

## Works Cited

Fink, O. (2012, March 20). Timeline of Algebra. Retrieved December 8, 2015, from http://www.hackingtheuniverse.com/science/history-of-science-and-technology/genarticles/timeline-of-algebra

O'Connor, J., & Robertson, E. (1999, July 1). Abu Ja'far Muhammad ibn Musa Al-Khwarizmi. Retrieved December 8, 2015, from http://www-history.mcs.st-and.ac.uk/Biographies/Al-Khwarizmi.html

Smoller, L. (2001, May 1). Al-Khwarizmi and algebra. Retrieved December 8, 2015, from http://ualr.edu/lasmoller/aljabr.html