On September 8, 2000, at 1645 central daylight time, a Beech B19, N1930W, piloted by commercially-rated flight instructor, with a dual student on board, sustained substantial damage on impact with terrain during a touch and go on runway 16 (4,500 feet X 75 feet, dry/concrete) at Dodge Center Airport near Dodge Center, Minnesota. The instructional flight was operating under 14 CFR Part 91. Visual meteorological conditions prevailed at the time of the accident. No flight plan was on file. The instructor and student reported no injuries. The local flight departed from Rochester International Airport near Rochester, Minnesota at 1545. The instructor said, "During the third touch and go, the student flaired too much and the aircraft began to balloon. I told him to add power. When he added power, he did not compensate for torque and the aircraft yawed to the left. He then began to panic and abruptly pulled back on the yoke. I took the controls at that time and lowered the nose with forward yoke pressure and leveled the wings with right rudder. The aircraft touched down on the runway and bounced into the air. It touched down again right of the runway about 20 feet from the runway edge. I closed the throttle and began to stop the aircraft. A drainage ditch came into view and I saw we would not be able to stop before getting to it. I added full power and applied aft yoke pressure to try to get over the ditch (about 12 feet across and 6 feet deep). The left main [and] nose gear impacted part way up the far side of the ditch and the prop struck the ground stopping the engine. The aircraft came to rest about 10 feet beyond the ditch with all three landing gear departed from the aircraft."