Earlier, Engines were reciprocating piston engines which were connected through crankshafts to the propellers which produced the power required for Forward movement. They moved LARGE amount of airmass with comaparatively LOW velocity giving momentum.......... Mv
Then they developed pure Jet engines, which rotating at high RPM, moved small amount of air at high velocity out of the jet exhaust (no propellers)producing Thrust with the momentum....... mV...These were Turbojet engines.
Propellers were more efficient at lower altitudes and pure jets were more efficient at High Altitudes.
Then for Medium altitudes , they made a happy compromise. They connected Jet engines to Propellers through reduction gears and resulting combination was found to be what the doctor ordered for medium altitudes. This combination is called TurboProps. So aircraft like ATR72 etc use Turbo prop which is a jet engine connected to the propellers.