One thing some parents are surprised to learn is that children's librarians advocate playing with books. They're not meant to be held captive on the shelf, primly aloof until it's time for the mandated twenty minutes, and then put hastily away in favor of the toy bucket. So what if that board book is gummed to pieces, or that copy of Dr. Seuss starts to shed pages like a collie in springtime? Regardless of what your elementary school librarian may have taught you, books are not sacred objects to be preserved for future generations. They're meant to be shared and loved now.
Infants, toddlers, and even older kids learn by playing, and everything is a possible toy. (Any mom who's pried a spatula and a pot out of their noisy four-year-old's hands before Mommy's head explodes can attest to that.) Making books part of playtime is a way of making them familiar and beloved objects.
Chronicles of an Infant Bibliophile recently posted a great list of some of the ways to play with books, arranged by age order. Have a look, and maybe try it with your own budding bibliophile.