Friday, April 29, 2011

Math / Presentations

It has been a while since we have posted! In the intervening weeks--which encompassed the ten day hiatus of Easter vacation--we have done the Mathematics unit and again begun to work on presentations. In the Mathematics unit we examined the axiom-theorem structure which the Greeks invented and how logic operates in this system. We also made connections between math and the arts. For example, we looked at fractals and watched a brief video of Benoit Mandelbrot, their creator/discoverer. Students in groups also presented different math/art topics including the Golden Section, the art of M.C. Escher, Linear Perspective, and the relationship of math to music that in the West began with Pythagoras.
We looked at how math can be creative. Finally we spoke of how Kurt Goedel (a friend of Einstein) proved that not all mathematical truth can be proven, that is, that there are true theorems that cannot be proven from the given axioms, a curious situation for a discipline that is so rigorous and precise.
With all this done, it is time to turn our attention to presentations. Could someone from each group record the real-life situation and the knowledge issue that have been selected. What problems have you encountered? Sign with the initials of the people in the group.