We're looking at a drawing of a funny man I drew (this is a game we play -- draw something funny then name what's wrong with the picture). This particular man had 6 arms.
Grace: What's funny about the man?
Me: What do you think?
Grace: I not know.
Me: How many arms does he have.
Me: Count them.
Grace: 1, 2, 3, 4, 5, 6! He have 6 arms!
Counting is of course a poem and an algorithm (point to one item at a time while reciting the poem without repeating), and I've often wondered if to Grace it was merely a poem and a gesture (point to items while repeating the poem until bored). Tonight, Grace very clearly was using the algorithm correctly. As an extra bonus, I got to see that she hadn't actually memorized the appearance of 6 items as a unit -- her immediate fuzzy-math brain answered "4!" and only after counting did she arrive at the actual number (with dice games and things I've often been convinced that she was memorizing the number-of-dots as shapes rather than as a group of objects she counted).