Wander: go about from place to place aimlessly; talk or think incoherently (The Oxford Pocket American Dictionary of Current English. New York, NY: Oxford University Press; 2000: p. 919). Example: She wandered the streets of New York with no particular destination in mind. Wonder: desire or be curious to know; to be filled with wonder or great surprise (The Oxford Pocket American Dictionary of Current English. New York, NY: Oxford University Press; 2000: p. 937). Example: I wonder who is responsible for the recent crimes committed downtown.
~Reinforcing Proper English by Reviewing Punctuation, Grammar, and Spelling Rules