An inexperienced Flight Instructor was unable to recover control of the PA-28 after the student pilot bounced the landing. The aircraft exited the runway to the left; damaging the nose gear strut and right wingtip.

Narrative

After landing; aircraft departed landing surface into mud field. The resulting loads bent the nose strut and the wingtip suffered abrasions.I was providing primary instruction for a 14 hour student pilot. Student had one incident of inputting too much left rudder on touchdown (on his/her first lesson) and two instances of flaring too high (higher than about 5 FT). The first flight lesson of the day consisted of intro to ground reference maneuvers. We then flew to a nearby airport for an introduction to tower controlled operations. During the flare to landing the student flared early and allowed speed to decay until corrected by the instructor resulting in a normal landing.Upon return to our home airfield; the student pilot conducted his/her most consistent approach to date maintaining pitch attitude; speed; throttle and alignment to standard. This was the third unassisted landing for the student. Upon initial touchdown; the student was 3-4 FT left of the centerline. The aircraft bounced and drifted right at an altitude of 3-4 FT. The student pilot maintained a proper landing attitude and returned the airplane smoothly to the surface. Once all three wheels were in contact with the surface; the plane swerved left. Immediately; I attempted to provide input to the right rudder (I had no brake pedals on my side); but determined the aircraft would leave the landing surface. At that time I leaned the mixture in an attempt to kill the engine.The airplane came to rest about thirty feet to the left of the runway with what appeared to me to be a bent nose wheel strut and abraded wing tip only affecting the fiberglass end piece. There was dirt on the prop. After exiting the aircraft; I noticed about 50 FT of bilateral skid marks originating 2-3 FT right of centerline; turning left and leading to the start of the aircraft's mud tire tracks.The aircraft was taken to the FBO hangar and inspected by two mechanics. One recommended changing the damaged components of the nose wheel and the engine mounts and the second recommended simply replacing the nose wheel strut and documenting the action as 'parts replacement.'