N544SP

During a full-stop landing to the 100 foot wide paved runway the airplane hit "very hard and bounced to a very high level". The student pilot did not execute a go-around and reported that on the second touchdown "he tried to hold it off again", but the operating propeller struck the runway surface and the airplane bounced a second time. On the third touchdown the nose gear collapsed, directional control was lost, and the airplane exited the left side of the runway. After digging into the grass the nose gear completely separated resulting in substantial damage to the firewall and the forward fuselage. The student pilot and the operator reported that there were no preimpact mechanical malfunctions or failures.