We will show recent results from the SIGMA survey of internal galaxy kinematics over 1.3 < z < 3.0 with the Keck/MOSFIRE spectrograph. We find intriguingly smooth average trends of galaxy kinematics with both stellar mass and redshift. The trends are such that at higher redshifts and lower stellar masses, galaxies are less disc-like. When combined with lower redshift data on galaxy kinematics, we find that these smooth trends continue to the present day. We will discuss how this kinematic transition gives important clues to the physical processes behind the formation of the Hubble Sequence for disc galaxies.