The flight instructor reported that this was her fifth instructional flight with the student and that they were practicing takeoffs and landings in the pattern. She recalled that the previous landing accomplished by the student was "squirrelly." She reported that she reminded the student pilot "how/why not to use the pedals during the landing roll, and to stay off of the brakes." She recalled that the student completed the next approach and landing and both were stable. However, during the landing roll the airplane made an abrupt right turn, and exited the right side of the runway about the midpoint of the 5500 foot long by 100 foot wide runway. The flight instructor reported that she did not believe that she would be able to bring the airplane back to the left and aborted the landing. However, the airplane struck rising terrain, entered a 360 degree turn and struck an embankment. The flight instructor asked the student if he had his feet on the pedals during the landing roll, and he replied "I think so." The airplane sustained substantial damage to both wings, horizontal stabilizer and elevator. The flight instructor reported that there were no mechanical malfunctions or anomalies with any portion of the airplane during the flight that would have prevented normal flight operations.