binary – Community of Adult Math Instructors (CAMI)

Elementary Cellular Automata

To launch our explorations we noticed and wondered about several images:

This is the first one:

What do you notice? What do you wonder?

Sophie gave us an introduction to the strange world of Exploding Dots, which can be used to represent all kinds of math. We started with place value.

In July’s evening CAMI meeting, we met an interesting machine, the “two one” machine, written like this: 1<–2 machine.

Here’s how the machine works:

We can add dots to the box on the far right – as many as we want! Whenever there are two dots in the same box…

…they EXPLODE!