The article considers the problem of the development of soft skills of teachers of Physics and Mathematics in higher educational institutions in the process of certification training in the system of postgraduate pedagogical education of Ukraine. The experience of foreign countries on the relevant teachers’ course training has been analyzed, the essence and significance of such soft skills as sociability, creativity, empathy for the professional development of teachers of Physics and Mathematics in higher educational institutions in the process of certification training has been characterized. The state of these skills development in teachers of Physics and Mathematics was studied, the average level of the development these skills has been stated. The possibilities of the soft skills development were determined, the four-stage process of their transition from unconscious incompetence to unconscious competence in the system of postgraduate education was substantiated. The principles, forms, methods, technologies of the development of soft skills in the system of certification training of teachers of Physics and Mathematics were discussed with the emphasis placed on the role of heuristic methods and forms, creative technologies of the soft skills development.

In this paper, the possibilities of using augmented reality technology are analyzed and the software model of the solar system model is created. The analysis of the available software products modeling the solar system is carried out. The developed software application demonstrates the behavior of solar system objects in detail with augmented reality technology. In addition to the interactive 3D model, you can explore each planet visually as well as informatively – by reading the description of each object, its main characteristics, and interesting facts. The model has two main views: Augmented Reality and 3D. Real-world object parameters were used to create the 3D models, using the basic ones – the correct proportions in the size and velocity of the objects and the shapes and distances between the orbits of the celestial bodies.