Tim Chartier, an Associate Professor of Mathematics at Davidson College, has a series of ingenious and delicious methods for illustrating fundamental concepts from calculus using chocolates. I had a brilliant calculus teacher, Alvin Anson, but I think a little chocolate would have improved even his techniques:
Where’s the chocolate? Rather than shading a square, we will place a milk chocolate chip on a square we would have colored red and a white chocolate chip on a region that would have been white. To begin, the six by six grid on the left becomes the chocolate chip mosaic we see on the right, which uses 14 white chocolate of the total 36 chips. So, our estimate of π is 2.4444. We are off by about 0.697.
Next, we move to an 11 by 11 grid of chocolate chips. If you count carefully, we use 83 milk chocolate chips of the 121 total. This gives us an estimate of 2.7438 for π, which correlates to an error of about 0.378.
Finally, with the help of public school teachers in my seminar Math through Popular Culture for the Charlotte Teachers Institute, we placed chocolate chips on a 54 by 54 grid. In the end, we used 2232 milk chocolate chips giving an estimate of 3.0617 having an error of 0.0799.
John Scalzi’s on tour with his new novel, The Collapsing Empire: he’s posted a list of ten things every touring author knows, and very few other people ever get to see.
Steven Boyett writes, “Humble Bundle has released a unicorn-themed Bundle, with proceeds to benefit the World Wide Fund for Nature and Fauna & Flora International. For as little as $1.00, you can get Ariel, by Steven R. Boyett (full disclosure: that’s me); Unicorn Mountain, by Michael Bishop; Homeward Bound, by Bruce Coville; and Unicorn Triangle, […]
With less than a week to go until the debut of Walkaway, my next novel for adults, Portland’s Powell’s Bookstore has run a long Q&A with me about the book, my writing habits, my favorite reads, and many other subjects.
They probably just sleep a lot. But still, you can remotely keep an eye on them when you’re at work and missing them deeply with this HD monitor from Kodak.If you have a new puppy that destroys everything in sight, or you just want to be a little more security-conscious, this WiFi camera is a […]
Thinking of a business idea is the easy part. Doesn’t even have to be a “good” idea, you can still get people to throw money at a non-existent venture, but to do that you need to at least have something even resembling a viable business plan. Why doesn’t anyone do it then? Because building that semi-viable […]
The Twisty Glass Blunt is an intriguing product that claims to abolish the need to ever buy or use rolling papers. And, well, it does if you so choose. You can cut down on the waste this 4/20, and everyday after when you’re smoking with this clever piece.Built with a German-engineered glass tube and inner […]