Im a third year university student, doing Electrical and Electronic engineering. My lessons would be aimed at students who are GCSE or below. I can also teach A-level maths and physics, it would just require me to brush up on those subjects.
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I don't have any professional teaching experience, but I have taught my relatives on subjects like maths and physics. The results were very positive.
I feel like students will trust you if you show that you know what you are teaching and that you can communicate it effectively.
I would do this by first going over the required syllabus and trying my best to summarise it so that I would be able to maximise what I can teach in the limited time.
A plan would then be created and homework would be made. This gives structure and a framework I can use in my lessons.
I would regularly get feedback from the students to see how I can improve and what subjects they struggle on more so I can spend more time on that.