I once made a whole stack of these for a kids summer project, they are fairly easy to construct.

You need a block of soft wood for the body and a small drawer knob for the head. Glue the head to the body. The arms and legs can be made from lengths of hollow bamboo garden cane.two pieces about 2" long for each arm and each leg (to create the "Elbow" and "knee" flexion) The articulations can be managed by putting screw eyes into the body block at the "shoulders" and "hips" and tying stout string to them. the string is then threaded through the lengths of cane, and tied off at the end into screw eyes in smaller "hand" and "foot" blocks. finally drill a suitable hole in the back and insert a dowel handle (about 18" long. If you make them the right size you can use standard 11" dolls clothes to dress them

The "dancing floor" is just a 2 foot length of flat 1/4 inch marine plyboard

to play, sit crosslegged on a chair with the plank tucked under the bottom leg and the dowel handle between the legs so that the doll "stands" on the board. by slapping the plank in time to music the doll will dance.