My target students are motivated GCSE and A-Level students aiming to excel in Mathematics, Further Mathematics, or Economics

I start by pinpointing each student’s current level and goals through a short diagnostic quiz and a chat about what they find hardest or most interesting. From there I build a personalised roadmap that balances three strands 1. Core understanding – I break new topics into clear, bite-sized steps, use visual aids or real-world analogies, and check comprehension through quick “teach-back” moments where the student explains the idea in their own words. 2. Active problem-solving – each session mixes worked examples with guided practice: I model one problem, we solve one together, then the student tackles a similar question independently while I give real-time hints. For exam classes we rely heavily on past papers and timed drills; for Olympiad coaching we focus on proofs and multiple solution paths. 3. Reflection and feedback – every lesson ends with a mini-recap, an error-analysis of any slips, and a short homework set chosen to stretch but not overwhelm. Progress is reviewed weekly; we adapt pacing and depth as needed. Throughout, I emphasise reasoning over memorisation, encourage questions, and weave in tech tools (Desmos, Python notebooks) so students see how mathematics powers economics, AI, and finance—linking classroom skills to real-world applications.