I was kibbutzing with a compatriot in the high school parking lot last night. He's a math person who is an administrator with a major college. Very knowledgeable.
He told me he wants kids to be taught math, not arithmetic; "arithmetic isn't math."
I've heard that before but still don't know what it means.
Speaking of arithmetic, Hung Hsi Wu's article "What's Sophisticated about Elementary Mathematics" (pdf file) is out!
And remember Ron Aharoni: What I Learned in Elementary School.