We review a generic structure of conventional (Nambu-Goto and
Dirac-Born-Infeld-like) worldvolume actions for the superbranes and show how it
is connected through a generalized action construction with a doubly
supersymmetric geometrical approach to the description of super-p-brane
dynamics as embedding world supersurfaces into target superspaces.Comment: Based on talks given by the authors at the Volkov Memorial Seminar
"Supersymmetry and Quantum field Theory" (Kharkov, January 5-7, 1997), LaTeX
file, 11 pages Misprints corrected, references adde