Monday, July 14, 2008

Problem Solving and Math Magic

Today, Group 1 started the class with some interesting tidbits about the Fibonacci Numbers and the Golden Ratio in real life. Fibonacci sequences are found in nature: in the arrangement of leaves and branches or the sections of a pineapple. The Golden Ratio can be found in art and architecture. Da Vinchi, in particular, is known for applying the ratio, also known as the divine proportion, to his masterpieces, dividing the canvas into golden sections. It can even be found in music composition! The Golden Ratio is also claimed to be the parameters for a perfect face.

For further reading on the Fibonacci Numbers and the Golden Ratio: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/

The rest of the lesson included learning about Polya's problem solving model, an efficient alternate to the "brute force" method. They also learned about the Gauss method for calculating sums when dealing with sequences. Finally, the class learned some math, birthday, and card magic!

The second group covered exponents, simplifying expressions, and mixture problems, before learning math magic as well.

No comments: