I give online one-to-one lessons via Zoom, Skype or any other suitable for my student platform. My lessons are personalized and the sequence of material I teach is based on the knowledge and abilities as well as personal aims of the student (e.i. preparation for exams, help with homework, general understanding of areas of the subject etc.). It is very important for me to establish an interactive form of teaching-learning relationship so that I don’t just lecture my student and load him/her with dry theoretical explanations but help the student to understand the concepts via step-by-step investigation. Usually, my lessons consist of three parts - discussion of the homework from the last lesson; explanation of the new material (or refreshing the knowledge that the student already has) as well as answering the questions of the student; solving various problems relevant to the topic of the lesson, as well as helping to solve problems proposed by the student (him)herself (eg. problem from school homework). When it gets to solving problems, I use a digital white board and tend to ask the student a series of relevant yet simple and logical questions to discover the solution together, this type of strategy was very efficient with my previous tutees, it made them realize that the more complex the problem is, the more fun it is to solve it.
Previously, I studied with and taught students from Spain, Russia and UK and, it made me gain an enormous set of skills to find a special way of explaining the material to each of my students.