Flight Instructor reported their student lost control of the aircraft during landing resulting in a prop strike and left wingtip striking the surface.

Narrative

During a private pilot student training event on VFR pattern practice at an uncontrolled airport; the Student Pilot (SP) was on his fourth VFR pattern of the day for training and made a normal VFR pattern and approach to complete a stop and go landing on Runway XX. SP made normal on-speed touch down in the normal landing zone but slightly right of centerline. Instructor Pilot (IP) told SP to correct to centerline as this had been a trend in the previous three landings of the day. SP use left rudder to correct to centerline and over-corrected the aircraft resulting in an aircraft skid. IP took controls of the aircraft from SP during the skid to attempt to stabilize the aircraft before exiting the runway. The aircraft skid on the runway resulted in a prop strike and a left wingtip touchdown that resulted in minor wingtip skin damage. The aircraft was shut down and towed back to the airport ramp uneventfully. The weather was VMC and winds were 130 [degrees] at 5 knots. The landing runway was Runway XX. The primary factor that contributed to this student landing incident was the over-control/over-correction of left rudder forces after SP landed on the right side of runway centerline and the over-correction resulted in an aircraft skid. The PA28-140 has nose wheel steering connected to rudder controls and the nose wheel steering becomes extremely sensitive at higher speeds; such as takeoff and landing roll. The SP was on his fifth private pilot lesson and had demonstrated above average performance in VFR airport pattern operations. The inexperience of the SP; coupled with the IP becoming overly comfortable with the SP current performance; contributed to the aircraft entering a skid that resulted in a prop strike and wing touchdown on the landing runway.