  Morphological classifications are reported for Hubble Space Telescope (HST)
images of 241 galaxies in the Hubble Deep Field (HDF) and its Flanking Fields
(FF) with measured redshifts in the interval 0.25 < z < 1.2, drawn from a
magnitude-limited redshift survey to R = 24.0. The galaxies are divided into
three groups with redshifts in the intervals [0.25,0.6], [0.6,0.8], [0.8,1.2].
R606 images from the first group and I814 images from the second and third
groups are compared with B-band images of nearby galaxies. All classifications
were therefore made at approximately the same rest wavelength. Selection biases
are discussed. We corroborate and extend the results of earlier investigations
by observing that: Most intermediate and late-type galaxies with $z\gtrsim0.5$
have morphologies that are dramatically different from those of local galaxies
and cannot be shoehorned into the Hubble ``tuning fork'' classification scheme.
Grand-design spirals appear to be rare or absent for $z\gtrsim0.3$. Many Sa and
Sb spirals with $z\gtrsim0.6$ do not exhibit well-defined spiral arms. The arms
of distant Sc galaxies appear more chaotic than those of their nearby
counterparts. (abridged) On the basis of these and similar observations, it is
inferred that the development of pronounced spiral structure was delayed until
\~5 Gyr and that most bulges are probably not formed by disintegrating bars.
Major morphological changes were still taking place only ~5 Gyr ago even though
changes in the integrated light of most galaxies were then much slower than
they were ~10 Gyr ago.
