  We calculate the spin stiffness of the S=1/2 frustrated Heisenberg
antiferromagnet directly from a general formula which is evaluated in the
Schwinger boson mean-field approximation. Both N\'eel and collinear ordering
are considered. For collinear ordering, we take the anisotropy of this phase
into account, unlike previous approaches. For N\'eel ordering, a detailed study
is made of the finite-size scaling behavior of the two terms that make up the
spin stiffness. The exponents of the scaling with the system size of the two
terms comprising the spin stiffness turn out to be identical to those of the
unfrustrated case.
