Well, I have a friend who does the same with his O/A level students in Pakistan, helping them make DISTRACTORs: questions that only 1 out of 1000 can answer. One of his student said that this is the way of real learning and growth. How does it happen that by posing questions a student may better solve a problem? the article mentions two instance:
1. ... he or she may look to break down or reduce the original problem into smaller problems, the solution of which lead to a solution of the original problem.
2. ... students engaged in the solution of a problem may generate a result that challenges or calls into question their prior goals and actions. In these situations the ways that the student acts to resolve the new question often leads to a reformulation of the original problem which may in turn lead to progress in finding a solution.* Problem posing and problem solving: a dynamic connection. mathematics education Charlene Sheets; Victor Cifarelli. Full Text: COPYRIGHT 2009 School Science and Mathematics Association, Inc.