I identify with the students and their parents specific skills they want to develop or improve, then find resources around the topic to work through with the students. I start the lesson with the basics of the theory or problem, then show them examples and give them lots of practice so they can complete the tasks with confidence.
I generally like to go over the topics that they are required to know and firstly look at how much they know through a few basic questions. I then change my teaching based on how much the student already knows and how quickly they seem to be picking up the topics. I will generally explain things with real life situations so that students can understand the topics properly.
I believe in teaching the basics, as a student who has struggled with maths and biochemistry in the past myself, I think my experience trying to understand various subjects will help a lot.
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