B767 Captain reported the flying pilot on IOE landed the aircraft but the aircraft began to bounce; with the nose hitting the runway and rising several times. During a postflight debriefing it was determined the primary cause of the bounce was due to the flying pilot operating the speed brake faster than normal.

Narrative

We were assigned to land into ZZZ on Runway XXL. We had planned on a flaps 25; and autobrakes 3. The autospeed brakes were MELed and could only be used manually. The REF speeds were 137 kt.; and with a 15-kt. bump; 152 kt.The flying pilot was on IOE; and was doing an excellent job with a gusty approach. He touched down in the proper zone with a 600 FPM descent rate. Both mains touched down and remained on the runway. The nose was a bit high.After both main gears were on the runway the flying pilot deployed the speed brakes; and reversers. At this point the nose came down faster than normal; it hit the runway and came back up. The nose went down again; hit the runway; and rose again. After this oscillation it returned to the runway and remained there. We vacated the runway and taxied to the gate.After engine shutdown; and parking checklist were completed; we discussed what had happened. During the debrief; the relief pilot pointed out that the flying pilot had maneuvered the speed brake lever at a much faster rate than was normal. He went on to say that with a quick application of spoilers; the nose was much more likely to drop quickly. We all agreed that this was the most likely cause of the event.We all agreed that a maintenance write-up was necessary. And a logbook entry was made.