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.

(*via Neatorama*)

Demonia’s Women’s Stomp 314 Boots are goth as fuck, knee-high, made of shiny polyurethane and ringed with ammo for that je ne sais quoi. (via The Everyday Goth)

Thinkgeek’s launched a trinity of Star Trek: TNG swimwear for the summer: $60 one-piece suits (sciences blue; ops gold, command red); $40 cover-up rompers; and $50 “Deanna Troi” rashies/swim shirts

Chinese engineer Song Youzhou has been trying to get traction for his straddling bus, a huge elevated bus that goes over, rather than through, traffic, since 2010.

If you want to add some real firepower to your programming repertoire, learn Java–one of the most adaptable, widely-used programming platforms around. You can easily do that with this Ultimate Java bundle, now just $69 in the Boing Boing Store.Across 14 lectures and 117 hours of content, the educators at online academy eduCBA will walk you through […]

Every company wants to harness the power of social media, but few understand how to make that happen. Be one of those select few with this Social Media Marketing Course & Certification package, now just $29 in the Boing Boing Store.Over 12 modules of course material, you’ll learn what it takes to increase a brand’s […]

If you’ve got a killer app idea, but don’t have the technical expertise to pull it off, get a crash course in all things app development with the Comprehensive Android Development Bundle, now over 90% off in the Boing Boing Store. Across 83 hours of training, you’ll learn to develop for the world’s most popular mobile OS, mastering […]

Seems more like an example of the monte carlo method to me…

it’s not monte carlo since it’s not random. the phrase you’re looking for is “discrete approximation”.

as a surly academic, i want to hate this, but i really can’t. it’s a decent demonstration of taking limits and it would probably get some attention which otherwise would have been dissipated. if you had a lot of time and chocolates of various sizes, you could even hint at fractal dimension.

Personally, I don’t like the definition that a square with ANY part of the curve is given to white chocolate. I feel that the dark chocolate should have those. Yes, I am in favor of Manifest Destiny, but ONLY for dark chocolate.

Your next assignment is to use thousands of little tablets to find the value of

e.Oh no, that chocolate would never remain on the board unmolested long enough to work out any calculus problems. ‘Where’s the chocolate?’ Indeed.

what a delicious way to teach.

Ah, the days when we used to learn the chain rule with peanut M&Ms.

Wow…

Connect Four looks much more complicated here than how I remember it as a kid.

It is cute, but it isn’t calculus. I can’t think of a good use of chocolate for teaching calculus, except as an incentive. However, this chocolate idea is great for teaching both geometry and algebra. You can derive formulas for the areas of various geometric shapes such as squares, rectangles, rhombi, trapezoids, and triangles using chocolate chips. If you are brave you could derive formulas for some 3D shapes such as pyramids. You can also derive algebraic formulas such as the sum of the first k integers equals k(k+1)/2 and x^2-1=(x+1)(x-1) by rearranging chocolate chips. There is a wonderful book called “Proofs Without Words” available from the American Math Association. Many of its proofs could be done with chocolate.

–CAT

man this trumps domino computing

I tried this method out, but I seem to encounter an error whereby my

calculations are increasingly off by about 1 every 30 seconds.

*munch*munch*

Wonder why that is?

*munch*munch*

When you think of the other definition of calculus, this is pretty damned funny.

The approximation would be much more accurate if we counted the tiles that have an apparent majority of their area inside the curve.