WELCOME
TO CLASS!
For five weeks
this past summer, a group of nine people, consisting of undergraduate students,
graduate students, and a teacher, or facilitator sat around a table discussing a
variety of topics in the amazing science of mathematics. From number
theory to non-Euclidean geometry, we talked, debated, and discussed some major
events and highlights throughout the history of mathematics that enlightened
others to imagine and design new branches of mathematics, complete with new
theories, concepts, and applications for years to come.
Finding a Connection
During the duration of the class, we realized our discussions
centralized around a common notion, or idea. Every area of mathematics we
looked at involved some of the properties and characteristics of algebra.
Algebra is the study of solving for unknown quantities. Even though
algebraic concepts were invented after the time of Euclid and Ptolemy, the major
founders of geometry and trigonometry, respectively, we can now use algebra to
derive the same formulas and conclusions that Euclid, Ptolemy, and other earlier
mathematicians documented centuries before.
In this web site, we try to present algebra as a problem solving
strategy that resembles a "reverse-engineering" approach. In
other words, algebra is a process of working backwards from assumed answers to
known starting points. Hence, the essence of algebra is not notation--it
is problem solving. History helps bridge the mathematics of yesterday to the mathematics of today.
Using the Site
The links at the left contain some of our groups
findings. We hope you enjoy looking at mathematics from this different
perspective with algebra as the central theme. Teachers may find some of
the information on the site useful in their classroom, such as some of the
background behind some of our most common math practices and formulas students learn
in classrooms today. Each area is different from the others and focuses on
a major area of mathematics. Clicking on the UP button will always
take you to the main page of each area of the site. The search link takes you to a page where you
can find resources by searching our site. The last link contains
information about our class and college. We hope you enjoy learning about
mathematics through Algebra - the math bridge!
ENJOY THE SITE AND KEEP LEARNING!
VISITORS: