Wash your hands with soap and water.

Scrub potatoes. Remove any bad spots. Do not peel. Cut each in half.

In a covered saucepan, boil potatoes in just enough water to cover the pieces. When they are fork-tender (about 15 to 20 minutes), remove from heat and drain. Set aside.

Meanwhile, in a skillet sprayed with non-stick cooking spray, combine cooked meat, broccoli, onion, carrots and water.

Boil until vegetables are fork tender - about 5 minutes. Reduce heat to low.

In a jar with a tight fitting lid, combine milk, flour and pepper. Shake well.

Stir flour mixture into meat mixture until well blended.

Stir in cheese. Cook over low heat about 5 minutes longer or until sauce thickens, stirring frequently.

Place 2 potato halves on each plate and mash the middle somewhat. Spoon about one third cup of the meat mixture over each potato half.