Wash the artichokes and take off any bad petals but leave the good ones and the stems on.
Put the artichokes into a large enough pot that when you put the water in the artichokes will be covered.
Cook for about 15-20 minutes.
Then, Pre-heat oven at 350F
In a measuring cup put in a 1/4 cup of white wine, 1/4 cup chicken broth, then ....
Put the smashed garlic, 1 tablespoon of grated cheese and sprinkle some salt and pepper.
Stir all together and let stand for about 15 mins.
Then go check and see if the artichokes are cooked. Put a knife into the bottom stems. If it feels tender they should be cooked.
Take the artichokes and drain them.
Place the artichokes in a baking pan.
Now pour all the mixture over the artichokes and let stand (wine, ck broth, grated cheese, garlic) for about 15 mins.
Every 5 mins. turn the artichokes and the mixture around.
Then place the pan with the artichokes into the oven for about 15-20 minutes or until the artichokes and garlic get some color on them.