The article discusses methods of teaching computer science at school based on the use of mobile devices (smartphones, tablets and other portable computers) and cloud technologies that provide information exchange between students and teachers. Based on the didactic tasks that arise in the learning process, appropriate teaching methods are proposed, focused on the work of students with different types of information and the development of software products using mobile devices. Considering the subject specifics of the discipline "Informatics and ICT" at the school, offers teaching methods aimed at developing algorithmic thinking and developing basic skills in developing software products using mobile devices. In terms of learning and developing skills in working with software products, it is suggested to use a mobile device as a second screen for easy access to electronic instructions, for example, in the form of a screencast. In the considered teaching methods, such components as the purpose and conditions of using the method, the activity of the teacher and student, the method of controlling the result and the criterion for achieving it are detailed. To organize joint activities of students both in the classroom and in extracurricular work, it is proposed to use cloud technologies, which in addition allow you to use cloud storage to place electronic course materials and support it. Based on the variety of teaching methods and didactic tasks, it is concluded that it is advisable to systematize them, develop principles for building a system of teaching methods and test them in the real educational process. Keywords: mobile learning; mobile technologies; mobile devices; methods of teaching computer science at school,