Our work on white dwarf asteroseismology is aimed at the larger goal of understanding white dwarf constitutive physics, determining their basic parameters to help us understand stellar evolution and to use the white dwarf stars as chronometers to interpret the history and evolution of our Galaxy and thereby the Universe itself. Since the last workshop, we have made rapid progress in our understanding of the pulsating white dwarfs and pre-white dwarf stars with the Whole Earth Telescope since the last workshop. Much of this progress, summarized elsewhere in these proceedings, extends our understanding of individual objects. We have also opened two new avenues for progress by demonstrating that the cool DAV and PNNV stars are normal mode pulsators with rich multi-mode power spectra. Most of our information has come from the analysis of frequencies assumed to be time independent. Other roads to understanding have remained less travelled. These include amplitude and phase information, as well as time dependence of all the observables. In the spirit of the workshop, I speculate on where these roads may take us.