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The mapping class group   $\Gamma ^k(N_g)$   of a non-orientable surface with punctures is studied via classical homotopy theory of configuration spaces. In particular, we obtain a non-orientable version of the Birman exact sequence. In the case of   ${\mathbb{R}} \textrm{P}^2$  , we analyze the Serre spectral sequence of a fiber bundle   $F_k({\mathbb{R}}{\textrm{P}}^{2}) / \Sigma _k \to X_k \to BSO(3)$   where   $X_k$   is a   $K(\Gamma ^k({\mathbb{R}} \textrm{P}^2),1)$   and   $F_k({\mathbb{R}}{\textrm{P}}^{2}) / \Sigma _k$   denotes the configuration space of unordered   $k$  -tuples of distinct points in   ${\mathbb{R}} \textrm{P}^2$  . As a consequence, we express the mod-2 cohomology of   $\Gamma ^k({\mathbb{R}} \textrm{P}^2)$   in terms of that of   $F_k({\mathbb{R}}{\textrm{P}}^{2}) / \Sigma _k$  .

On the Cohomology of the Mapping Class Group of the Punctured Projective Plane