In this paper, we introduce cell-forms on $\mathcal{M}_{0,n}$, which are
top-dimensional differential forms diverging along the boundary of exactly one
cell (connected component) of the real moduli space
$\mathcal{M}_{0,n}(\mathbb{R})$. We show that the cell-forms generate the
top-dimensional cohomology group of $\mathcal{M}_{0,n}$, so that there is a
natural duality between cells and cell-forms. In the heart of the paper, we
determine an explicit basis for the subspace of differential forms which
converge along a given cell $X$.