STEP 1: Fold a roughly 12"x12" section of newspaper into 16 squares. Place a dot of school glue in the center of each square and drop a seed(s) into it. Allow to dry.
STEP 2: Remove up to a 1/2 inch of soil in plot where carrots will be going. Lay down newspaper, glue side down and cover with removed soil. Water in.
I go one step further and cover my carrots with burlap. This helps keep them moist between watering (usually twice a day) until they sprout and begin to grow up through the burlap at which time it is removed.