The Mandelbrot Set Viewed through Precalculus

I’ve given this presentation in November 2014 at AMTNYS in Syracuse, and in April 2015 at NCTM in Boston. I’ll be giving the presentation in May 2015 at the NY Master Teacher Conference, and in July 2015 at Twitter Math Camp in Claremont CA.  Drive Why use the Mandelbrot fractal to get the students to […]

Using the arctan Power Series to Calculate Pi

(Note: this post is an extension on the calculating pi with python post from a couple of years back. Also here’s another way to inefficiently calculate pi with Buffon’s Needles.) We’re currently working with Power series and Taylor series in Calculus. One particularity pretty derivation is going from the series for to the series for […]

Kaprekar’s constant

A student talked about Kaprekar’s constant (6174) during their my favorite presentation. Really cool. Steps (from wikipedia): Take any four-digit number, using at least two different digits. (Leading zeros are allowed.) Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary. Subtract the smaller number […]

Euclid GCD

Darker pixel = longer Euclidean algorithm to find GCD(x,y). Here x & y range from 1 to 500. So many questions… — Matt Enlow (@CmonMattTHINK) September 24, 2014 I saw this toot by Matt yesterday morning and I loved the visual of the color based on the number of steps of Euclid’s GCD algorithm. […]

My Favorite for the Students

Let me know if these are things that interest you as a teacher of children: You want the students to find your subject interesting. You want the students to investigate your subject in their own time, like an adult would do. You want the students to continue to develop their presentation skills. You want the […]

Lizard Grow

My son was given this lizard as a big brother gift (can’t find online link to product, but here’s a similar toy). Thoughts? Original Size Size After 2 Day Soak Before Measurements Left image Length: 905 pixels Width (between front feet): 275 pixels 1 inch: 90 pixels Right image Height: 150 pixels 1 inch: 115 […]

M&M’s Mega

"'M&M's Mega' To Have Three Times More Chocolate." Oh brother here we go again. /cc @dandersod — Dan Meyer (@ddmeyer) May 16, 2014 3x the Chocolate? What a great Calculus activity (hint: rotational volumes). Cross sections with an exacto: M&M M&M Mega What shape fits best? Click on image to get directly to the […]