The student pilot reported that, during landing, she flared the airplane early and that it then skipped on the runway during touchdown. The airplane drifted right, and the flight instructor then took the flight controls, but the airplane continued right. The airplane then lifted off about midfield, spun, and came to rest in grass right of the runway. The flight instructor reported that he was a new instructor. He added that, while the student was landing, the approach was high and slow as the airplane crossed the threshold, that the student flared "very high," and that he attempted to instruct her on how to recover, but she unexpectedly "pitched [the airplane] up further." He took control of the airplane, applied full power, retracted the flaps, and attempted a go-around. He added that the airplane was struggling to stay airborne and that he was concerned that it might impact some construction cranes beyond the end of the runway, so he turned right, and the airplane impacted the ground right of the runway. The airplane sustained substantial damage to the left wing and engine mounts. The instructor reported that there were no preaccident mechanical failures or malfunctions with the airplane that would have precluded normal operation.