Learning maths:

At the beginning of every lesson, I like to review past topics and necessary skills for the upcoming lesson. This is about 10 minutes.

In the next part, we go through the topic at hand. I will start off by teaching the basic concept and then work through a few questions, then the next level of that topic and more questions and so on. This leads to a mixed exercise activity to embed understanding of the topic further. I encourage students to ask as many questions as possible during their sessions.

The session ends with some skills put into practice with problem solving or exam questions. This depends on the year the student is at and how close to I/GCSEs or A Levels/IB etc the student is at.

I like to add some ad hoc logic puzzles that the student can engage with outside of the lesson, using some of the skills that they have learnt recently. This leads to depth of understanding and engagement.

Finally, I like to use fantastic web-based free apps to help students learn interactively and visualise the concepts that students are learning like GeoGebra and Desmos.

Independent learning is essential. This is a commitment that you need to make to ensure that you can recall and use all the concepts that you are learning. This means different time commitments to different students.

Topics are chosen by the initial conversation and any school material (in the form of question level analysis sheets) that we have.