Coloring pages are a wonderful way of allowing your child to express their ideas, opinions and perception through artistic and creative methods. You will be astounded when you see what amazingly beautiful masterpieces these puny little kids can create in the form of finished coloring pages.
As already mentioned free coloring pages are a great way to teach your child all sorts of things, numbers for example. There are different ways this can be done, one way would be to simply have the number somewhere on the page, such as the number 10, and then somewhere else on the page would be an object or animal cleverly twisted into that number. There could also simply be 10 of something on the page, you can get your child to color the page in and then count out how many apples for example there are, which will obviously correspond to the number on the page.
I must admit that personally I bought into this concept hook, line and sinker. When my two older daughters were small, I colored with them, and enjoyed doing it. I never realized the calming effect it had on both the girls and me.