Understanding before memorisation
Mathematics is the subject most often taught badly. Too many pupils arrive having memorised procedures they do not understand, which collapses the moment a question is phrased differently. My teaching begins with understanding. I ensure a pupil knows why a method works before expecting them to apply it, because genuine comprehension produces flexible problem-solvers, not fragile ones.
I was appointed Head of the Mathematics Department early in my teaching career, a role that gave me responsibility for curriculum design, assessment strategy, and the progress of pupils across all ability levels. That experience informs every lesson I teach privately. I know the common misconceptions, the points where pupils typically lose confidence, and the most efficient routes through the syllabus.
At KS2 and KS3, I focus on arithmetic fluency, number sense, and the foundational skills in algebra and geometry that everything else depends on. These are the building blocks, and gaps at this stage cause compounding difficulties later. I identify and address those gaps early.
At GCSE, my teaching is structured around the exam specification but goes beyond it. I teach pupils to decode unfamiliar problems, to check their own work systematically, and to manage their time under exam conditions. For higher-tier pupils, I ensure that the more demanding topics, including algebraic proof, trigonometric identities, and iterative methods, are fully secure.
At A-Level, the step up in abstraction and rigour is significant. I support pupils through pure mathematics, statistics, and mechanics, with a focus on developing the algebraic fluency and logical reasoning that the examinations demand. I also use my background in scientific research to show how mathematics operates as a practical tool in real disciplines, which helps pupils see the subject as more than an academic exercise.
