RPTR ERROR ADMITTED IN FLC TECHNIQUE FLYING IN AN ALTDEV ALT OVERSHOT IN CLBING TFC.

Narrative

THIS WAS TRANSITION TRAINING FOR THE FO; WHO IS VERY EXPERIENCED AND HAS FLOWN THE 737-300 BEFORE AND BEEN A CAPT ON OTHER ACFT. THIS WAS THE SECOND DAY OF A 2-DAY TRIP. HE HAD PERFORMED FLAWLESS UP TILL THIS POINT. THIS LEG WAS ONLY ABOUT 60 NM SO WE DECIDED TO LET HIM HAND FLY THE ACFT. WE HAD HAD A LONG DAY THE FIRST DAY WITH MANY WX DELAYS FOR TSTMS AND A MINIMUM REST PERIOD THE PREVIOUS NIGHT. AFTER AN XA45 AM DEP FROM BOS TO CLT; THIS LACK OF REST COULD HAVE BEEN A FACTOR. AFTER A NORMAL TKOF; WHEN WE WERE GIVEN A CLB TO 8000 FT; THERE WERE SEVERAL BUILDUPS IN THE AREA WE WERE DODGING FOR A SMOOTH RIDE. AT ABOUT 7500 FT I NOTICED OUR RATE OF CLB WAS ABOUT 3000 FPM. CALLING THIS TO THE FO'S ATTN; HE REDUCED PWR AND REDUCED PITCH ATTITUDE. I THINK HE WAS LOOKING OUTSIDE TO AVOID THE BUILDUPS AND I HAD BEEN LOOKING AT THE TCASII BECAUSE OF AN ACFT APCHING US. AT ABOUT 8250 FT WE STARTED DSNDING IMMEDIATELY BACK TO 8000 FT; BUT WE DID GET AN RA ON THE TCASII. THE ALT ALERTER DID NOT GO OFF. SUPPLEMENTAL INFO FROM ACN 306670: DUE TO OUR LIGHT WT WE HAD A GREAT RATE OF CLB. I WAS DISTRACTED BY LOOKING FOR TFC (AN RA HAD BEGAN) AND AT THE CUMULUS IN FRONT OF US; I OVERSHOT MY ALT BY ABOUT 200-250 FT (AT WHICH POINT THE TCASII BEGAN A CLR OF CONFLICT). AFTER DISCUSSING WHAT HAD HAPPENED WITH THE CAPT; WE FELT THAT THE PROB WAS MERE EXCESSIVE CLB RATE AND THAT THE OVERSHOOT WAS NOT THE PROB BECAUSE THE 'CLR OF CONFLICT' HAD HAPPENED ALMOST IMMEDIATELY AS I HAD BEGUN A PITCH OVER AND BEGAN TO RELEVEL AT 8000 FT. THE FAULT WAS OBVIOUSLY MINE AND THAT I ALLOWED MYSELF TO BE DISTRACTED AND LOOK OUT THE ACFT AT THE CUMULUS AND FOR THE TFC INSTEAD OF MINDING THE SHOP INSIDE (WHILE OTHER CREW MEMBER WAS OUTSIDE).