difference between wondering and thinking?

As nouns the difference between wonder and think  is that wonder is something that causes amazement or awe; a marvel while think is an act of thinking; consideration (of something).  As verbs the difference between wonder and think  is that wonder is to be affected with surprise or admiration; to be struck with astonishment; to be amazed; to marvel while think is (label) to ponder, to go over in one's head or think can be (label) to seem, to appear.