Mathigon.org: "The Math Book of the Future"
mathigon.org
mathigon.org
Key being the ability to fiddle in real time to gain an intuition, as the brain is optimized to do. Computers give the closest tool for estimating the abstract to something tangible.
It's kind of sad that the Gates foundation will probably never support a movement like that.
What would be most useful to me is know-how: I would like to know how to produce impressive graphics and video presentations at this level.
Oops: typo in the sequences panel.
"Nowbody knows whether 3003 appears more than eight times, or whether there are any other numbers appearing eight or more times. This is known as Singmaster’s conjecture, named after the American mathematician David Singmaster (1939)."
Rewrite the last sentence, given the audience. State the corect conjecture in full--don't say 'this', especially when the preceding sentence is a disjunction, no disjunct of which is a conjecture. The conjecture isn't whether 3003 appears eight or more times. If this is intended as "3003 occurs eight or more times" then it is not Signmaster's conjecture. The reader would not know that the conjecture is the existence of a uniform bound on all the occurrences of numbers in Pascal's triangle other than 1. The statement as it stands contains misleading extraneous cognitive load and must be corrected--there is too much to learn. Give the reader good examples to build upon. The reader can supply his or her own conceptual ambiguities while attempting to manage the cognitive load of the subject.
The success of the site will largely depend on how well it manages extraneous, intrinsic and germane cognitive load.
In particular the lack of a solid left margin makes it hard to read. Really it's not a paper anymore, it's an infographic.
It seems considerably more wise to educate novices in the jargon, than to re-write every research paper in a novice-friendly over-illustrated manner. After all, how many graphs of "linear" do our novices really need to look at?
And, this makes accessibility even harder, but I'd like to see more interactive simulations and tools rather than passive animations, like at http://www.socr.ucla.edu/ and http://phet.colorado.edu/
There is a bit of frustration when every time you close an article, you land on the first page instead of the page you were currently viewing (on Firefox 15).
There's a lot of exciting and interesting stuff happening at the moment and a lot of it is coming out of Cambridge. So much to absorb - so little time.
Congratulations at treating IE as a first class citizen as well.