The last couple days Lucas has been hooked on talking about opposites. It doesn't take long to cover all the obvious ones. Hot/cold; up/down; left/right; wet/dry; north/south; big/small; etc. After exhausting the easy ones, he started delving into the obscure. "What's the opposite of fire?" "What's the opposite of trees?" "What's the opposite of air?" "What's the opposite of metal?" "What's the opposite of a construction crane?" If I had planned a lesson on opposites for him, would I have included construction crane? Probably not. It's one of the great perks of letting him freely explore topics. He takes them in directions I never would consider on my own.
Nico was exploring halves today. "What is half of 100?" "What is half of 20?" What is half of 10?" "If 100 plus 100 is 200, than 100 is half of 200." Every day Nico is finding new ways to manipulate the numbers around him. It's such a joy to be able to watch and facilitate their education.