  The article highlights the promising ways of providing access to the
mathematical software in higher educational institutions. It is emphasized that
the cloud computing services implementation is the actual trend of modern ICT
pedagogical systems development. The analysis and evaluation of existing
ex-perience and educational research of different types of mathematical
software packages use are proposed. The methodological guidance on the
organization of the cloud-based learning environment in higher educational
institutions using the systems of computer mathematics (SCM) is outlined. The
advantages and disadvantages of different cloud service models of access to SCM
are de-scribed. The cloud-based learning component with the use of Maxima
system is described and evaluated.
