Not A Stick by Antoinette Portis
A really simple story about a pig with a stick who uses the stick and his imagination to create a lot of fun games. Its not a stick, its a paintbrush, a fishing pole, a barbell and a sword.
The style reminds me of children's books from the 1950's and early 1960's - Harold and the Purple Crayon and It Looked Like Spilt Milk in particular.
This would be great to use with older preschoolers.