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I love how simple this video makes concepts of Moebius Transformations. I feel like I learned a lot while watching something engaging. How ingenious to to use a sphere to solve the third dimension Moebius!

Quoted: A short film depicting the beauty of Moebius Transformations in mathematics. The movie shows how moving to a higher dimension can make the transformations easier ...

Stare at it long enough and you may be able to find the pattern in pi. I'm colorblind so it's a little bit difficult for me...

Anyways, it's a cool image of pi represented in a 10-color plot left to right, top to bottom...

Alternate visualizations of heavier duty multiplication.

An absolutely wonderful article from the September 2006 issue of "Seed" on "How We Know." The basic concept is that people elarn from doing - always. Extrapolating from there and showing concret examples from education, business, and the arts - there is something useful in here for everyone.

Quoted: According to Ericsson, this is how elite performers always practice. It is the secret trick of their talent, the way they become the best. Instead of treating practice as separate from the learning process--doing is what you do when you are done learning--they constantly find ways to integrate learning into their doing process, and the payoff is immense. The brain is designed to learn in a very particular way, consistently favoring the concrete over the abstract, the practical over the theoretical. If something can't be done, then we probably aren't interested in learning about it. The individuals and organizations that take advantage of this psychological principle are the ones that excel, getting the most out of themselves and their charges. If people can learn the right way--algebra on the subway, practice sessions and factory floors transformed into experiences that broaden the mind--neuroscience indicates there is little the mind can't accomplish. But if we remain ignorant of Dewey and the Labor-atory School, of Rizzolatti and his monkeys, of Bob Moses and newly-accelerated math students, of the winners of musical competitions and major golf championships, we will plod along in mediocrity, and fail algebra.