A collection of posts that go beneath the surface of school maths. Uncovering the deep structures, hidden simplicity, and powerful patterns often missed in traditional classrooms. For parents, educators, and curious learners who want clarity, not just performance. From foundational operations to the field axioms, this is where real mathematical understanding begins.
Anyone who has spent time in a maths classroom will have heard the instruction: “Show your working.” For many students, this feels unnecessary. If they believe they can do the calculation in their head, writing it down seems like extra effort. But writing is one of the most powerful thinking tools humans have ever developed….
In the bizarre stillness of May 2020 when the streets were silent, schools were closed, and ‘zooming’ was all the rage, I put my thinking cap on and cooked up something I thought could help. I combined my livestreaming chops from music with deep experience in online tutoring, alongside a community of teachers I’d met…
BIDMAS is a lie. And pupils deserves better.It’s not real mathematics, it is a trick masquerading as understanding.Most children are taught to follow it blindly, without ever learning what an operation truly is.Unary. Binary. This is the hidden architecture of calculation — in primary, secondary, and beyond.And it changes everything once seen. But first, an…