I don't belive there is a core way of doing this. Consider duplicating your quizzes and calling them "QuizTitle - Attempt 1" and "QuizTitle - Attempt 2", etc. You can restrict access so they can only see Attempt 2 if they have a certain min/max score on the previous attempt. Students will not be able to have their previous attempt answers copied over if the 2nd attempt is a separate quiz, but may still be cleaner than having assignment submission boxes? Of course, depends on your unique situation.
Gradebook
Show Attempts in Gradebook
This discussion has been locked so you can no longer reply to it.