Product review (5 stars): Go Ahead and Fix your Ice Maker - Its easy
The ice maker in my 2000 Kenmore Coldspot Ultra Fresh refrigerator (model 106.59509993) stopped working after 11 years.  I checked the internet and found that there are 2 big points of failure in icemakers.  1) The valve that lets the water in and 2) the ice maker itself.  I tested the valve(found the how-to for this on the web)and found it to be operational so I felt confident that the problem was in the icemaker.  I removed the ice maker's cover and checked the model number. The number 626636 was written on the label in the upper left hand corner.  I matched that number with the one listed in the description for this product and felt confident that it would be a 1 to 1 match.

The part arrived very quickly and I found it very easy to replace (provided you have a 1/4 inch nut driver).  After unplugging the refrigerator and removing the food and shelving, I removed the old unit and then put in the new unit in place and made sure it was level. I reused the wiring harness (being careful about polarity) and shut off arm from the old one but everything else was new.  I plugged in the refrigerator and then checked that there was power to the ice maker with a mulitmeter (see instructions).  Initially nothing happened but after a couple of hours I heard the first drop of ice.

This fix was a lot easier than I had thought it would be!