The contents of my lessons will include going slowly over the theory of whatever aspect of maths we are covering for that student, which I hope to be more engaging for the student than a normal school lesson would provide. I find that a visual approach with lots of diagrams and examples leads to a better learning experience. Anytime the student feels lost, I am happy to go over that concept again or try a different method to help the student understand, which will lead to a very back and forth approach to learning. When I was in school, I found that the method for how to solve problems was explored without me really understanding why it worked. Therefore I will try my best to break down the concepts back to the basics, where necessary, to show the student where the ideas come from in the first place, instead of just memorising the methods.
I find that practicing problems is the best way to fully understand a new concept, so I will also go over a few problems myself and then ask the student to attempt some on their own, asking for my assistance if they need.
As someone who has always found it takes a while to process and understand new information, I feel this gives me an advantage in showing people how I came to eventually understand a topic.
I have experience working in classrooms in a secondary school as a teaching assistant for the past year, so I know the GCSE maths curriculum well and know effective ways to teach it.