You can create:

• A silly and profound library of non-commutative relationships
• Your own math operations
• Conjectures and theories about properties of your own math operations

How?
Take any action or relation between two objects. Then switch the objects. Is it all the same? The picture above has a few examples. The book reads the boy. The underwear is above the pants. Pots grow from plants. These are all examples of non-commutative relationships, w

You can create:

• Your own classic or modern art
• Self-portraits
• Conjectures about ratios and proportions

How?
"Vitruvian man" is one of the most famous drawings in the history of humankind. It is a study of "perfect" proportions of man's body. Leonardo da Vinci took detailed notes on many body proportions in the picture, such as "the man's height is twenty-four palms." In reality, every h

You can create:

• Your own sets of cards for the game of Set!
• Ways to make sure your set is complete
• Conjectures and theories about working with the combination model of multiplication

How?
This activity is based on the game of Set! - you can read rules and play online. What's more important - you can figure out how to make a Set! deck of your very own. The cards of the original game use combinations of four features: color, shape, number and filling. E

Tyger! Tyger! Burning bright
In the forests of the night,
What immortal hand or eye
Could frame thy fearful symmetry?
        -William Blake

You can create:

• Mirror symmetrical pictures
• Improv symmetry performances
• Conjectures and theories about doubling - the basis of all computation

How?
These three short activities are meditations. They can put you in a certain relaxed, positive, artistic state of mind. I sometimes offer them to people if they get anxious or tir

You can create:

• A collection of multiplicative situations relevant to your life and your interests
• A collaborative visual times table collage
• Conjectures and theories on uses, differences, good and bad features of different multiplication models

How?
Take a notebook, a camera or just your imagination and go on an expedition to find multiplication. You can search your backyard or the web, you can draw or photograph what you find, you can do it alone or with a group. Some multiplication instances are easy to see. Som

You can create:

• Multiplication wheels
• Colorful patterns on your wheels
• Conjectures and theories about times tables patterns

How?

This activity is inspired by Robinsunne's "multiplication clock." The idea is quite simple: you create concentric circles, separate them into as many segments as you want for your tables, and fill them with multiplication resu

You can create:

• A game idea about multiplication - if it's intrinsic and interesting, it may get programmed!
• A collection of multiplicative situations for your game

How?
Whatever you do, please do not have drill exercises like 2*2=? appear in your game. Even if you write your exercise on the tummy of a monster, or offer players to shoot balloons with right answers, it's still a drill exercise. There are plenty of games with those, none of them very imaginative or interesting, in my opinion.

Youtube has many videos showing polyrhythms. I liked these two, for maracas and piano.