  Following a strictly geometric approach we construct globally supersymmetric
scalar field theories on the supersphere, defined as the quotient space
$S^{2|2} = UOSp(1|2)/\mathcal{U}(1)$. We analyze the superspace geometry of the
supersphere, in particular deriving the invariant vielbein and spin connection
from a generalization of the left-invariant Maurer-Cartan form for Lie groups.
Using this information we proceed to construct a superscalar field action on
$S^{2|2}$, which can be decomposed in terms of the component fields, yielding a
supersymmetric action on the ordinary two-sphere. We are able to derive
Lagrange equations and Noether's theorem for the superscalar field itself.
