Sometimes in class, we invent spontaneous games, which turn out to be great learning experiences (and lots of fun.)
One week, one of our 6 year old students was playing with blocks, and I noticed he was setting up a symmetrical arrangement.
I challenged him to a game. I would place a block, and he had to put one to mirror it to keep the structure symmetrical. Then he would place a block that I had to mirror. At first, I stayed on the vertical or horizontal axis, which is easier. But then I started placing things on the diagonal and he had to figure out the radial symmetry. This offered great learning in the math and spatial realm.
We had a GREAT time playing the game. It was at the sweet spot for learning, right at the edge of his capabilities. It was hard enough to be challenging, and to feel really good about his successes. And he had a fun time challenging me with especially tricky placements.
Here’s two of our creations: