Imagine this...
One fine day, you work a really long day, come home late, are dead tired, and so you eat a quick meal and crash in bed. Being extremely tired, you fall into a very deep slumber.
The next morning, you wake up and you notice something unusual. You find that you are wearing an red suit along with a cape and additionally you are wearing an helmet. You have no idea where your new clothing came from nor have any recollection of putting it on.
Then you notice something... inside your helmet are all sorts of lights and visual screens, like a radar or some kind of a navigational equipment.
Then you hear a loud voice. . . "Dear GNU !!! How are you??? This is God speaking to you. Last night when you were totally out, that is while you were in a deep sleep, I put this superhero suit on you." "Moreover, from now onwards you will be The Greatest American Super Hero! I will train you how to use the suit and we will fight evil (and sin) together. Let us hope that we are able to work well together so that you do not fly into walls or off of buildings."
Now - monergism is wholly a work of God. It is when God regenerates you. It precedes faith. In the above illustration, it is like God putting the super-suit on GNU while he is asleep. It has nothing to do with free-will. It is not really that the GNU did not have a choice in that matter or was determined. The issue of free-will does not figure in the matter.
On the other hand, the part where the GNU works together with God to learn how to fly and break through walls and such - that is Synergism. It involves God and it also involves the Gnu. And yet, this has to do with freedom - a form of freedom known as compatibilistic freedom. In compatibilistic freedom, you choose in accordance with your desires, and God is involved to your desires.
So in monergism, free will is a non-issue. In synergism, it is an issue and the view of free-will therein is compatibilism. They are very different and to compare the two is to compare apples to guavas. (Finally - I have not seriously looked at free-will in years... and will have to read an article or two and come back and brush up the above.)
