There are two types of ice makers, those in which all of the parts can be individually replaced and those in which some of the parts are clustered together into a control module. To determine which model you have remove the outer face plate. If there is knob, pull it off first, then pry off the face plate with a small screwdriver.
Before replacing the control module, unplug the freezer to avoid an electrical shock hazard.
A modular unit will have several holes in it, each marked with a letter (similar to the one pictured below). These holes are for test probes. If there are no holes then the ice maker is a component model and the components can be replaced individually. For component models, refer to the individual component's in the testing & replacement instructions.
To replace the control module, it is easier to first remove the ice maker from the freezer compartment. The unit is usually mounted to the freezer case by two or more screws. Remove the bottom screws first. While supporting the ice maker, remove the remaining top screws. Unplug the ice maker's wiring harness from the freezer cabinet.