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]
In February 2011, every teacher in Providence, Rhode Island was pink slipped. Not all 1,926 of them got fired, of course, but with the district facing a $40 million deficit, anything is possible. The district says it needs flexibility, just in case. Every school district in the United States faces its own version of what’s happening in Providence. However, “IMAGINATION: Creating the Future of Education and Work” is focused not on how we got here but rather how we can move forward from here immediately even as the education system continues to struggle. [more inside]
144 sites for online education. Categories include science and health, business and money, history and culture, law, computer science, mathematics, and languages. [more inside]
So you're me and you're in math class and you're learning about graph theory, a subject too interesting to be included in most grade school's curricula so maybe you're in some special program or maybe you're in college and were somehow not scarred for life by your grade school math teachers. [more inside]
The Calculus Lifesaver lectures -- videos available here in streaming (Real Player), mp4 and wmv formats -- were originally given as "review sessions for the Princeton introductory calculus courses MAT103 and MAT104 during the 2006/7 academic year". Each lecture is about 2 hours.
World of Science contains budding encyclopedias of astronomy, scientific biography, chemistry, and physics. This resource has been assembled over more than a decade by internet encyclopedist Eric Weisstein with assistance from the internet community. MeFi visited Weisstein's Mathworld a couple years ago.
On Truth and Reality. Despite several thousand years of failure to correctly understand physical reality (hence the current postmodern view that this is impossible) it is actually very simple to work out how matter exists and moves about in Space. The rules of Science (Occam's Razor / Simplicity) and Metaphysics (Dynamic Unity of Reality) require that reality be described from only one single source existing, as Leibniz wrote: "because of the interconnection of all things with one another." [more inside]
Math Education: An Inconvenient Truth. How children learn (or: don't learn) math today. [more inside]