(Frederik Schuh, 1952)


Here is the game of chomp and a very preliminary sketch of a game to do with linear inequalities. The latter would be a fun class project to perfect – it is NOT good enough to play right now. Let me know of your ideas how to make this game better and I’ll give your class credit.

In the minds of perhaps a majority of persons, education still consists in the acquiring of certain facilities for particular purposes in life. But this does not deserve the name of education. A system of instruction adapted merely to this purpose, enslaves and degrades human nature. It reduces men to machines, by bringing up workmen for a manufactory…

The mind of the child is considered a mere receptacle, which is to be stored with knowledge. Its pliability is abused into a mechanical and spiritless routine… for in receiving knowledge, the pupil is merely passive.

F. J. Grund

Introductory Discourse and Lectures, Boston, 1830

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!

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

MP2 Think abstractly!

Students take problems and reformat them mathematically. This is helpful because mathematics lets them use powerful operations like addition.

MP3 Work together!

Students discuss their strategies to collaboratively solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.

MP4 Model reality!

Students create a model that mimics the real world. Discoveries made by manipulating the model often hint at something in the real world.

MP5 Know the tools.

Students master the tools at their fingertips - whether it's a pencil or an online app. 

MP6 Be precise!

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!

Students learn to identify patterns. This is one of the things that the human brain does very well. We sometimes even identify patterns that don't really exist 😉

MP8 Be lazy!?!

Students learn to seek for shortcuts. Why would you want to add the numbers one through a hundred if you can find an easier way to do it?


Please use MathPickle in your classrooms. If you have improvements to make, please contact me. I'll give you credit and kudos 😉 For a free poster of MathPickle's ideas on elementary math education go here.

Gordon Hamilton

(MMath, PhD)