If you think you have a problem what you really want is to find a solution. I have found over the years of working with people that in many situation a problem solving approach does not work so well. Looking for solutions achieves good results.
Here is a good example. The other day I coached Judy who had taken the huge step of leaving her secure job to go into business for herself. Now that the initial excitement had worn off and the hard work of marketing and creating a product was in front of her Judy was feeling discouraged. I explained to her that people who are embarking on making changes find that their feelings oscillate until things evolve to a new equilibrium. Instead we focused on finding solutions so she could get unstuck.
I reminded her that she knew best what the next steps needed to be. As she explored her options she came up with a clear plan on what to do next. My task was to ask questions that would lead her towards finding solutions.
Change occurs when we do something differently or look at things differently. Judy shifted her thinking to looking for solutions and as she did that she felt empowered and came up with clear steps as to what she wanted to do next.
A good therapist leads her client so the client can find his or her own answers. Change does occur when we do something differently or look at an issue in a different way, as you said. Helping someone to get the the point where they can see a solution is a very good thing.