Thanks for contacting manage my life about your refrigerator model
106.56546400, sorry you are having a problem, I will be glad to assist you.
There are many reasons the ice maker could stop making ice and certainly the water supply is very important. You stated it made less and less ice over time, did you notice a reduction in cube size. If the cubes got smaller then I would suggest changing the filter.
If the stop was sudden and cubes remained the same size and number of cubes made each cycle then there could be other issues to consider.
Temperature is the main cause for ice maker failure, there must be a maintained temperature in the freezer of about 5 degrees or less for the ice maker to cycle regularly. Any minor change of the freezer temperature (door openings, added food load, ambient temperatures, humidity) will stop the ice maker completely. Often simply changing the freezer temperature setting will reactivate the ice maker.
You can test this by limiting the door openings and setting the freezer temperature control to a colder setting.
I hope this helps, if you need additional help please reply with added details and I will be happy to respond.
If you get to the point where you need to have a service technician diagnose and repair this failure, you can schedule service through this link:
Sears Home Services.