If anyone is interested in learning more about how transformations like those described in our Transforming Polar Functions post can dramatically simplify existing secondary mathematics while opening doors to other, richer ideas and connections, consider attending our 3-day PreCalculus Transformed summer institute (July 9-11, 2012) in Atlanta, GA.
By its title, the ideas are obviously primarily pre-calculus, but they easily extend before and after that point in the mathematics curriculum along with a solid look at how technology can be used to enhance student learning and exploration.
PreCalculus Transformed 