For exam level teaching I mainly use past paper questions with a sort of "learn by doing" method. I think it makes sense to learn to do that subject with similar style questions to the exam you will be sitting. Usually I will start with a few questions on that weeks topic to asses where we are at the moment. Then from then on we'll work through examples together and I'll try to continue to help less as the lesson gets further on.
For non-exam level tutoring I try to work with the parent/guardian and adapt my method of teaching depending on what they hope to get out of it.
For either type of student, usually I'll ask what areas they want to focus on for the next week and have something prepared for then (often a brief description and then a selection of questions).
I always try to honestly communicate the levels of progress with a parent/guardian so they know what to expect.
I am a third year Mathematical Physics student at Heriot-Watt university. I have been tutoring for two years first as a member of Edinburgh tutors and then privately. I am able to tutor all school levels in Maths and Physics. I'm very familiar with SQA exams having sat them myself and achieved As at advanced higher in my chosen subjects.
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