Hopscotch is a classic game. When my daughter was four years old, I put this up in the sunroom one cold winter's day.
She couldn't yet hop, but it was fun to see her try to organize herself. Beyond the kinesthetic benefits of just moving, this also provides great experience with one-to-one correspondence.
I have to say, though, that it took a couple more years before her brain really had that concept proving yet again just how much children are learning while they play.
Tape! The ultimate open-ended, the world is your oyster, creative, hands-on learning and making supply. Check out the endless ways tape can be employed in the interest of math, art,