  The Schur functions in superspace $s_\Lambda$ and $\bar s_\Lambda$ are the
limits $q=t=0$ and $q=t=\infty$ respectively of the Macdonald polynomials in
superspace. We prove Pieri rules for the bases $s_\Lambda$ and $\bar
s_{\Lambda}$ (which happen to be essentially dual). As a consequence, we derive
the basic properties of these bases such as dualities, monomial expansions, and
tableaux generating functions.
