In a discectomy method one removes at least a substantial portion of a spinal disc. Thereafter one operates an ultrasonic instrument to level opposing faces of vertebrae on opposite sides of the removed spinal disc. Graft or synthetic disc material is inserted between the vertebrae so that the graft or synthetic disc material is in contact with the leveled opposing faces. In an associated nucleotomy, a cannulated probe is inserted into a spinal disc and used to remove the nucleus pulposus. A synthetic or substitute nucleus material may then be inserted into the evacuated annulus.