Special features in creation and application of computer animated images in teaching mathematics

Statement of the problem. The analysis of publications, dedicated to the application of information technologies in teaching mathematics, shows a relatively low level of use of animated possibilities in computer media for teaching high school algebra and introduction to mathematical analysis. In connection with this, the article focuses on the problem of compiling an educational content in the form of animated images, capable of ensuring effective computer support in teaching high school mathematics. The purpose of the articleis to show the role and value of computer animation in teaching arithmetic, algebra and introduction to mathematical analysis on specific examples, realized in GeoGebra. The research methodology implies the study and analysis of literature related with the use of information technologies for teaching mathematics, the synthesis of authors, work experience on approval of the technique for teaching mathematics using computer animation. Research results.For creating animated images applicable in teaching arithmetic, algebra and introduction to mathematical analysis, the GeoGebra is recommended. The basic forms of animation are enumerated, specific examples demonstrate the use of animated images during training, for experimentation, conducting training studies, for organizing experimental research style teaching instructions. Conclusion. The proposed on GeoGebra basis digital educational content, which consists of a series of animated images, will increase the technological equipment and facilities of contemporary teachers of mathematics, and will make it possible to achieve higher educational results in mathematics, namely in arithmetic, algebra and introduction to mathematical analysis.