We review the status of current observations of the fundamental parameters of intermediate redshift (0.2 < z < 1.3) galaxies. Advances in instrumentation of 8-10m class telescopes have made possible detailed measurements of galaxy kinematics and mass, in both the optical and the infrared passbands. By studying such well known star formation indicators as [OII]3727A (in the optical) and Halpha (redshifted to the infrared), the internal velocity structure of galaxies can be traced through this entire redshift regime. The combination of throughput and optimum seeing conditions yields spectra which can be combined with high resolution multiband imaging to explore the evolution of galaxies of various morphologies, and to place constraints on current models of galaxy formation.