TITLE: Interesting math books for children
QUESTION [16 upvotes]: Are there any interesting books on math for children?  Let's break this into two questions: interesting books on math for children in elementary school and interesting books on math for children in middle school.  
The only book I can think of that might work for kids is The Little Schemer by Friedman and Felleisen.  To me, that seems almost as much a math book as a programming book.  
And there's also Alice’s Adventures in Wonderland and Through the Looking Glass, by Lewis Carroll, which, although they don't really have any explicit math content in them, do have the sort of contradictory, paradoxical type of humor that many math people like.  
Also Raymond Smullyan's books, but I think those might appeal mainly to older teens, but I'm not really sure.
Any ideas?

REPLY [6 votes]: And there's also Alice’s Adventures in Wonderland and Through the
  Looking Glass, by Lewis Carroll, which, although they don't really
  have any explicit math content in them, do have the sort of
  contradictory, paradoxical type of humor that many math people like (not the Pillow Problems, these are just problems, for older kids).

Actually Lewis Carroll does have more mathematically inclined children books like "A Tangled Tale" and "Pillow Problems". And they share the humor we like (not Pillow Problems, these are just problems, for older children).
Especially I liked his own symbols for trigonometric functions. Detexify doesn't seem to be able to find there LaTeX versions, so I've made an image:

As Lewis Carroll explains, this notion came from the "old trigonometry", where sines and cosines were real lines. Seems it was not only Feynman who invented his own notion for them. I've read both books in Russian, where they were accompanied with his letters to children and his textbook "Symbolic Logic". That was indeed a nice collection, I failed to find an English equivalent, but sure it should be somewhere.