Art of Problem Solving
Want to get a head start on some math? Want to do some problems that will challenge you to think in new ways?
Alcumus is a free online set of problems that make you think in new ways and stretch your mind. Each problem has a clever solution that you are challenged to find. Make sure to read the solution method after you do each problem so that you can learn and improve!
Videos
Fractals: The Dragon Curve
Vi Hart's doodling produces all kinds of amazing pictures. See more on her YouTube channel!
Neil deGrasse Tyson on How to Become an Astrophysicist
You can see a whole lot more from Neil deGrasse Tyson at StarTalk Radio. This video on black holes is pretty fun! Or, watch Stephen Colbert interview Neil deGrasse Tyson!
Nature By Numbers
This video shows you all kinds of ways that the Fibonacci sequence shows up in nature, and you get a sense of just how beautiful it is!
How to add all the numbers 1 + 2 + ... + 100
This video and lots more are on Art of Problem Solving's website here.
An Amazing Card Trick (with British accents!)
Numberphile has a ton of amazing videos. Check out this video: "Is Zero Even?" You can see more on Numberphile's channel.
Math is Forever (Spanish, with English subtitles)
This video is really funny, it's worth watching even if you don't speak Spanish!
Using Statistics to Understand the World
The Most Astounding Fact About the Universe
We just couldn't resist one last Neil deGrasse Tyson video!
Number Games
And one more Vi Hart video!