I base my classes on working through problems together from past papers, or from material the student would like to look at specifically. If there are any areas the student finds particularly challenging, it is often useful to take some time to talk about the topic to strengthen the students understanding, before tackling some real problems.
I am a postgraduate student who recently graduated from Oxford with First class honours in Biological Sciences, and I have been giving lessons in various subjects (Maths, Biology and Spanish) for several years and am familiar with the Further Maths/Maths A-level, and GCSE courses.
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