EMB145 FLT CREW LOSES TRACK OF AIRSPEED WHILE CLIMBING IN VERTICAL SPEED MODE AND DISCUSSING ACFT EQUIPMENT. THE ACFT COMES CLOSE TO STALL SPEED BEFORE THE FLT CREW REACTS.

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THIS EVENT OCCURRED BY MY DISTRACTING THE FO FROM HIS TASKS AS THE PF. I ALSO DISTR MYSELF FROM MY SUPERVISORY PNF DUTIES. WE WERE CLBING THROUGH FL340 TO OUR CLRED ALT OF FL360. I; THE CAPT; WAS THE PNF. I WAS INSTRUCTING MY FO ON WX RADAR TILT MGMNT TECHNIQUES. THROUGH MY DISTRS WE BOTH FAILED TO NOTICE THAT OUR AIRSPD WAS DECREASING TO A VERY LOW VALUE. I CAUGHT THE ERROR AS THE PITCH-LIMIT INDICATOR CAME INTO THE ATTITUDE INDICATOR. I CALLED OUT THAT OUR AIRSPD WAS VERY LOW. AFTER A MOMENT OF FURTHER EVALUATION; I TOOK CTL OF THE ACFT BY DISCONNECTING THE AUTOPLT AND REDUCING THE PITCH ATTITUDE WITH THE YOKE. WHILE MAINTAINING LEVEL FLT; SO AS TO RECOVER ENERGY; THE STALL WARNING SYS WAS TRIGGERED IN 2 VERY SHORT WARNINGS. ALT WAS MAINTAINED AND A CLB QUICKLY RESUMED. THE ACFT WAS CONTINUALLY UNDER CTL AND THERE WAS NO STICK PUSHER ACTIVATION. I DETERMINED THAT WE WERE OPERATING AT A VERY SLOW AIRSPD THROUGH AN INST SCAN. THE SUBSEQUENT ACTIVATION OF THE STALL WARNING SYS WAS A CONFIRMATION OF THE EVENT. UPON COMPLETION OF THE LOW SPD RECOVERY WE CONTINUED OUR CLB TO OUR ASSIGNED ALT OF FL360. I REASSIGNED TO MY FO THE PF DUTIES. THROUGH SELF EVALUATION AND CHASTISEMENT; I AM RESOLVED TO EXERCISE TIGHTER COCKPIT DISCIPLINE AND THUS MINIMIZE DISTRS.