for students 16-19 ready to think differently about mathematics
Studying mathematics at school ?Think like a mathematician
university — a new world
University mathematics isn't more of the same with harder topics — it demands a completely different kind of thinking: reasoning independently, understanding deeply, and tackling problems creatively.
You can build these powers right now, at school, with the mathematics you are already studying.
I've spent over two decades teaching students to think mathematically alongside preparing them for exams. They leave my classroom as independent mathematical thinkers. That same transformation is within your reach.
more about my approach →
insight journeys
Insight journeys are the fundamental building blocks behind my teaching and my vision for Mathematics Insight. An insight journey is a sequence of questions as text or video that gradually guide you toward a deeper understanding of the topic at hand. Think of it as a map for you to follow on your own, not a product for you to consume. Each journey takes you repeatedly through the cycle question—consider—appreciate so that you are fully engaged with the process at every stage.
the three stages of every step
01
question
Every step on the journey starts with a question to get you thinking.
02
consider
It's not the answer to the question that's important — it's taking the opportunity to hone your own powers of reasoning.
03
appreciate
You've taken a step forward! Compare your idea with mine and get ready for the next question.
01
question
Every step on the journey starts with a question to get you thinking.
02
consider
It's not the answer to the question that's important — it's taking the opportunity to hone your own powers of reasoning.
03
appreciate
You've taken a step forward! Compare your idea with mine and get ready for the next question.
"I was both intrigued and learnt lots in a little over an hour — the links between visible and numerical proofs fascinated me. Wonderful!"
"Your gentle prompting . . . encouraged a whole class collaboration where the sheer joy of unpicking and journeying to a solution was palpable."
"Brian's training for our department has been superbly clear, inspiring, and backed by outstanding subject knowledge."