The research provides a review of applying the virtual reality (VR) and augmented reality (AR) technology to education. There are analysed VR and AR tools applied to the course "Development of VR and AR software" for STEM-teachers and specified efficiency of mutual application of the environment Unity to visual design, the programming environment (e.g. Visual Studio) and the VR and AR platforms (e.g. Vurforia). JavaScript and the libraries A-Frame, AR.js, Three.js, ARToolKit and 8th Wall are selected as programming languages. The designed course includes the following modules: development of VR tools (VR and Game Engines; physical interactions and camera; 3D interface and positioning; 3D user interaction; VR navigation and introduction) and development of AR tools (set up AR tools in Unity 3D; development of a project for a photograph; development of training materials with Vuforia; development for promising devices). The course lasts 16 weeks and contains the task content and patterns of performance. It is ascertained that the course enhances development of competences of designing and using innovative learning tools. There are provided the survey of the course participants concerning their expectations and the course results. Reduced amounts of independent work, increased classroom hours, detailed methodological recommendations and increased number of practical problems associated with STEM-subjects are mentioned as the course potentials to be implemented.