The aim of this study is to carry out the theoretical analysis and provide guidelines for the use of the SageMathCloud in the learning of mathematics disciplines. Objectives of the study is to consider the prospects of the SageMathCloud use in the contexts of cloud-based environment; to reveal the features and the most advisable way of the SageMathCloud use as a learning tool. The object of research is the forming of the cloud-based learning environment for learning mathematics disciplines and it’s using in the pedagogical university. The subject of research is the methodical aspects of the SageMathCloud use as a component of the cloud-based environment for learning mathematics disciplines. The article is devoted to the problems of the cloud-based systems use in the educational process of pedagogical universities. The types of the cloud-based services for mathematics disciplines learning in the structure of the cloud-based learning environment are revealed; the use of the SaaS model in the aspect of the cloudy based learning environment formation is considered. The pedagogical features of the SageMathCloud use, as a tool for mathematics disciplines learning are revealed. The results of the study are the theoretical framework and guidelines for the SageMathCloud use as a tool for learning mathematics disciplines.