Fractal Multiplication

(MathPickle, 2015)
This is a mathematical mini-universe for your students to practice the scientific method. The mathematical curriculum covered includes any of the following: 1) Permutations and Combinations 2) Polar Coordinates 3) Non-Commutative Operators 4) Fractal Geometry Download the pdf here. Special thanks to Jennifer Bailey and Dan Finkel for starting me out on this exploration. Dan has a magnificent real time presentation along similar lines that mesmerizes K-9 students. Jennifer Bailey is trying to construct a variant to help students remember multiplication tables through number patterns.

There may be aliens in our Milky Way galaxy, and there are billions of other galaxies. The probability is almost certain that there is life somewhere in space.

Buzz Aldrin

Standards for Mathematical Practice

MathPickle puzzle and game designs engage a wide spectrum of student abilities while targeting the following Standards for Mathematical Practice:

MP1 Toughen up!

This is problem solving where our students develop grit and resiliency in the face of nasty, thorny problems. It is the most sought after skill for our students.

MP3 Work together!

This is collaborative problem solving in which students discuss their strategies to solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.

MP6 Be precise!

This is where our students learn to communicate using precise terminology. MathPickle encourages students not only to use the precise terms of others, but to invent and rigorously define their own terms.

MP7 Be observant!

One of the things that the human brain does very well is identify pattern. We sometimes do this too well and identify patterns that don't really exist.


Please use MathPickle in your classrooms. If you have improvements to make, please contact us. We'll give you credit 😉

Gordon Hamilton

(MMath, PhD)


Lora Saarnio