I will talk about the construction of the generalization of PennerA's coordinates on the decorated super-Teichmueller space of a surface with s >= 1 punctures. In particular, we will consider super-analogue of Ptolemy transformations, combinatorial description of spin structures on surfaces with punctures and the appropriate generalization of the Weil-Petersson 2-form. If time allows, I will discuss coordinates on higher Super-Teichmueller spaces.