Implementation of feedback in digital learning environment with a focus on system Geogebra

Modern digital technologies bring various means for didactic adaptation of educational content and for new forms of dialogue and interaction between students and learning environment. Different data representations can be easily used and combined in digital learning environment. Forming of the correct ideas and better understanding of the educational content is enabled mainly by graphic representation in the form of inspectional dynamic models. As an illustration the article presents examples of the models created with dynamic geometric system Geogebra, that are usable in teaching probability and planimetry in high schools. Interactive digital learning materials including active components with a feedback can stimulate students' activity and interest in learning. The feedback can have multiple didactic functions. Besides the main purpose of checking the answers' correctness it can provide contextual learning aid for the student and perhaps even can guide the stages of the learning process. While creating the digital content it is possible to differentiate between local and global feedback. In our research we focus on the application of inquiry approaches to teaching of mathematics. An important part of the preparation of innovative methodical and educational materials is the development of interactive learning activities. The article describes multiple interactive mathematical learning activities which illustrate various types of local feedback.