I have been giving private math lessons for 30 years. But I don't just explain the lessons and show how to solve the exercises. Besides, I never give the solutions to the exercises: it is the student who finds them by himself and of course, I put him on the right track, when it is necessary. My lessons are always very concrete: I explain each vocabulary word, I place each lesson in its historical context (in a few words) and I always give exercises related to the student's interests, so that he understands the usefulness of using the lesson in everyday life or in his future professional life. I also provide a coaching service in parallel, to motivate students to work and organize themselves as best they can, so that they quickly become independent and work more efficiently, which allows them to have to work less, to obtain even better results. To give you an idea of what I manage to do with my students thanks to my methods, when a student in the final year of high school has an average of between 02/20 & 06/20 6 months before the baccalaureate, he gets between 14/20 & 18/20 on the day of the exam. Most of my students get a mention thanks to their results in mathematics, which allows them to integrate more easily into the grandes écoles, beyond the feeling of pride in the work accomplished. I take the example of the Baccalaureate, but I don't only give lessons to final year students: I give lessons up to Bac+2 level (BTS/DUT).