  The quality of mathematics education depends largely on the quality of
education in general. The main idea may be summarized as follows: in order to
educate the younger generation of people to be able to meet adequately the
demands of the time, it is necessary to create conditions for the high-quality
mathematics education. Improving the quality of mathematics education of pupils
in secondary school is one of the most pressing problems. Contents of the
school course of mathematics and its teaching method has always been the
subject of undammed and sometimes stormy scientific debates. There are
especially true methods of teaching algebra and the analisis in the high
secondary school. Still in the study process the algebraic concepts and
principles of analysis are given in such an abstract and generalized form that
the student may has considerable difficulties to map these general abstract
concepts to the certain concrete images, they are generalizations of. Improving
education quality indicators can be achieved by using the appropriate computer
technology. The article deals with the use of the cloud-oriented systems of
computer mathematics (SCM). The prospects of development of the Web-SCM in
terms of cloud-based learning environment are considered. The pedagogical
features of the SageMath Cloud use as a tool for mathematics learning are
revealed. The methodological aspects of algebra and elementary analysis
teaching in a high profile school using the cloud-oriented the SCM SageMath
Cloud are revealed.
