Having tutored for 5 years, I have had a large amount of experience dealing with a wide range of students. I do have certain aspects on lessons which I keep as a basic structure: an introductor 5/10 minutes recapping the lesson before, demonstrations of the relevant topic, and ensuring that students are taking notes so that they can easily return to the topic when they may later forget it. However, I try my best to keep all other elements dynamic and based on wat the student requires in the moment. Having covered topics on the maths curriculum many times over for 5 years, I am easily able to give a lesson on any point based on very short notice. This is not normally necessary as I make sure to ask every lesson whether the student has a topic they know they need help with and I then keep a list, meaning I can normally have plenty of time to prepare but I do not necessarily always need that.

Within each lesson, we will really think about how to solve the problem so that they can apply the knowledge to any question that might get thrown at them. The abstract skill of problem solving and critical thinking is always central to my lesson as I see it as vital to elevating your maths ability as well as improving skills in numerous other areas, like essay writing. To make sure the student starts to think about this, I will go through an example whilst voicing my methods and then have the student, if they are ready, walk me through all of their thinking, whether or not they know the answer but just so I can understand how they think and start to give them pointers.