Hyperreal numbers: infinities and infinitesimals - "In 1976, Jerome Keisler, a student of the famous logician Tarski, published this elementary textbook that teaches calculus using hyperreal numbers. Now it's free, with a Creative Commons copyright!" (pdf—25mb :) [more inside]
Sudbury Valley School - "It upends your views about what school is for, why it has to cost as much as it does, and whether our current model makes any sense at all. But what's most amazing about the school, a claim the founders make which was backed up by my brief observations, my conversations with students, and the written recollections of alumni, is that the school has taken the angst out of education. Students like going there, and they like their teachers. Because they are never made to take a class they don't like, they don't rue learning. They don't hate homework because they don't have homework. School causes no fights with their parents." (previously-er) [more inside]
Is Psychometric g a Myth? - "As an online discussion about IQ or general intelligence grows longer, the probability of someone linking to statistician Cosma Shalizi's essay g, a Statistical Myth approaches 1. Usually the link is accompanied by an assertion to the effect that Shalizi offers a definitive refutation of the concept of general mental ability, or psychometric g." [more inside]
The simulated brain - "First computer model to produce complex behaviour performs almost as well as humans at simple number tasks." [1,2,3,4,5,etc.]
"so you can imagine, here I was, an analyst at a hedge fund; it was very strange for me do to something of social value"
Salman Khan: The Messiah of Math - "His free website, dubbed the Khan Academy, may well be the most popular educational site in the world. Last month about 2 million students visited. MIT's OpenCourseWare site, by comparison, has been around since 2001 and averages 1 million visits each month... [more inside]