Thoughts on the Intersection of Math and Programming

I’ve been interested in the intersection between Math and Programming ever since I taught my first programming course 12 years ago (call it coding, CS, whatever you’d like). I think I’m finally starting to figure it out. Maybe. I was prodded by Dan Meyer and Julia Tsygan to think more in detail about this intersection: […]

What to do post AP/IB exam?

With the IB exams coming up soon, I’ve started to put more thought into what we should do after the exams (we’ll have 8 blocks or so). For the past three years we did free-form math projects and last year they even wrote up great blog posts about their projects. But due to less time left […]

The Mango Gates – Puzzler

From Car Talk: RAY: This Puzzler came from Kevin Tobin. A maharajah owned a mango tree that had very sweet, abundant fruit. People would come from miles around to pick the fruit. So the maharajah decided to protect the tree by erecting a series of seven concentric fences around it. Each fence had a gate […]

3d Representation of Dog Chase

Not what it sounds like. The four dog problem from Steve Strogatz: N dogs start in the corners of a regular N-gon. Each runs directly toward the dog on its left. How far do they run before colliding? — Steven Strogatz (@stevenstrogatz) October 27, 2015 Here is how it was used in my class. Halfway […]

Linear Functions, Cardiods, and the Mandelbrot Set

This tweet was retweeted by Steve Strogatz: @stevenstrogatz great @Mathologer video on the cardioid and its family: — Anna Lukács (@launknaacs) November 6, 2015 What a great video, linking linear functions, cardiods, and the family of Mandelbrot sets. Rang my bell. Here’s some of my previous lessons and experiments that involved these things: The Mandelbrot […]

The Last Seat : Car Talk Puzzler

Yet another great car talk puzzler, The Last Seat: RAY: You’re one of a hundred people standing in line to get onto an airplane that has 100 seats. There’s a seat for every person who’s in line, and each of you has a boarding pass for your assigned a seat. The first person to walk […]

Visualization of a Function Through Time

(This post demonstrates the math behind the creation of some unusual math art. I got the idea from this tumblr post which I don’t even think works like this. But it was the inspiration behind the pictures.) Take this function: f(x) = x^2 + a*cos(ax). When you take values of a between 0 and 8 and […]