Peel and chop the potatoes into 1-inch cubes. Put the potatoes cubes in a medium saucepan.
Peel the 3 garlic cloves and add them to the saucepan with the potatoes.
Fill the saucepan with just enough water to make sure the potatoes and garlic are completely submerged.
Set the saucepan on the stove over medium heat until the water boils.
Reduce the heat and simmer, covered, for 15 minutes until the potatoes are easily pierced with a fork.
Drain the water out of the saucepan
Return the drained potatoes and garlic to the pan and add the butter and shredded Parmesan cheese. Use a potato masher the mash the potatoes and garlic up as the cheese and butter melt.
Stir in the broth, fat free half-and-half, salt and pepper. I like to use the potato masher to keep mashing these ingredients into the potatoes, but you might choose to use an electric mixer or an immersion blender to make the potatoes even fluffier.