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So the prof is perpetuating the myth that math is boring and to be hated? At least useful math? Useful is boring? Understanding Ohm's law is boring? Excuse me? I like knowing Ohm's law. It keeps me from getting killed with fixing something electrical. I also find it really fun and interesting to play with electrical sets. Understanding the mathematic/physics behind it makes it interesting because I can plan more effectively.
Sorry, I dislike what's being taught. Math is a language. It is an efficient way to communicated complicated information, and draw logical conclusions. What kind of math have you covered in this class? There are lots of examples of Fibonacci series in art. My version: http://geofizzgirl.livejournal.com/2006/01/18/ Patterns, and symmetry: Anything from Escher, and there are many examples out there of ways it's used in nature: you could talk about why some crystals/gemstones appear cubic (4 sided) or hexagonal (6 sided), but never 5 sided. You can't tesselate a pentagon, and neither can nature. On a larger scale, there's things like Devil's postpile also making nearly perfect hexagons. Oragami  fractions, topology, symmetry I like Dawningmama's suggest: "~driving math (charting a road trip! milage/time/figuring for traffic/cost of gas)" Talk about the traveling salesman problem. You could talk about how you can *know* you can never lose at tictactoe. 
are you using "heart of mathematics" by any chance?
has anything sparked your interest? i would either pick something you've done in class that you thought was cool and look at some of the harder problems in that section and explore those. or pick something in the news that has math, or pick something you love and find the math that is in there. What do YOU enjoy? 
there is also a theorem in Algebraic topology that says you cannot make a globe/sphere with a 2 dimensional piece of fabric. Anotherwords, no 2D map is a perfect to scale representation of the earth.

Katie  Married to Mike 06/02/01, Mom to Sydney Anne born 11/21/09 and Alice Maeryn & Oliver Thomas born 04/24/13
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