A lot of maths notes feel like they start on page two. You see a theorem, then a proof, then an example. But mathematics didn’t descend from the heavens in perfect notation. It was made slowly, and often painfully, by people who couldn’t leave a problem alone. So here’s a post on why I think every maths topic should begin with four things: the problem it was invented to solve, the person behind it, the core intuition, and only then, the formal theorem.
Exams
On the Value of Mathematics in the Age of GenAI
As I slowly but surely work through catching up on lectures and revision, one of the questions I’ve found myself sitting with is this: What’s the value of studying mathematics in a world where GenAI can already solve so many of the problems we’re asked to work through? And what does this mean for exams? … Continue reading On the Value of Mathematics in the Age of GenAI
‘I don’t know. It’s a mystery.’
I’ve recently started playing video games again. That might sound trivial, but for a long time it wasn’t something I felt “allowed” to do. Somewhere along the way, games got under the category of being “unproductive”, and with that came the kind of guilt that lingers even when you’re supposedly relaxing. I’m very grateful to … Continue reading ‘I don’t know. It’s a mystery.’
Exams, Burnout, and Finding Balance
You can love a subject deeply and still feel like exams are destroying you. You can work hard, care a lot, and still walk out of an exam room feeling like you’ve failed. With A-Level Results Day just around the corner, I’ve been thinking a lot about how the pressure, the grades, and the system … Continue reading Exams, Burnout, and Finding Balance