Curiosity first
Maths should invite questions, not just demand answers.
About WillTeachMaths
Explore mathematics, do not just complete it.
WillTeachMaths is a free, growing space for exploring mathematics. It brings together mathematical explorations, interactive tools, GCSE worksheet generators, starters, games and classroom resources with one aim: to help people engage with maths more deeply.
Some parts of the site are designed to save teachers time. Others are designed to invite curiosity, encourage questions and show that mathematics is much more than a list of procedures to complete.
Why I built it
Knowledge is still worth pursuing.
I started building the site because I wanted to create something useful, thoughtful and genuinely worth returning to. Good mathematical resources can be hard to find, and too often learning can become either shallow practice or material that feels too hard to enter.
I wanted to build something in the middle: accessible enough to begin with, but deep enough to lead somewhere. Even when technology can produce answers quickly, understanding still changes how you think. Answers are easier to get; understanding is still hard-earned.
Mathematics as exploration
The heart of the site is connected mathematical ideas.
Mathematics is often taught topic by topic: algebra here, geometry there, statistics somewhere else. That structure is useful, especially in school, but it can hide one of the most exciting parts of the subject: ideas connect.
A graph can become a map. An algorithm can describe a route. A pattern in number can lead into music, cryptography, topology or computer science. The Graph Portal is my attempt to make those connections visible: a place to follow curiosity rather than simply complete a syllabus.
What you will find here
Mathematical explorations
Interactive pages and connected ideas designed to encourage curiosity beyond the curriculum.
Explore the Graph PortalGCSE worksheet generators
Customisable worksheets with prior knowledge, key vocabulary, worked examples, fluency, problem solving, exam-style questions and challenge tasks.
Generate a worksheetActivities, games and puzzle prompts
Short activities for discussion, retrieval, curiosity and mathematical play.
Browse activitiesHow I think about learning
The aim is not to make mathematics effortless.
I believe people learn best when they are actively involved in the process. A good explanation matters, but it is not enough on its own. Learners need to predict, test, notice, practise, make mistakes, reflect and try again.
That is why the site is built around thinking tools, not just answer tools. Hints, worked examples and answers can be useful, especially when students are building early confidence, but they should support thought rather than replace it.
The aim is to make the effort feel worthwhile.
About me
I am William Botterill, the teacher building WillTeachMaths.
I teach mathematics and have taught GCSE Maths, A level Maths and BTEC Computing. I trained through a PGCE in Secondary Mathematics at the University of Cambridge and studied Mathematics and Computer Science at the University of Manchester.
WillTeachMaths brings together the things I care about most in education: saving teachers time, helping students take ownership of their learning, and showing that mathematics is full of connections worth exploring.
Principles behind the site
Depth over volume
Fewer better resources are more valuable than endless shallow ones.
Tools should support thinking
A good tool gives structure without taking ownership away from the learner.
Understanding cannot be outsourced
At some point, you have to think, struggle and make sense of the idea for yourself.
Everything connects
The most interesting learning often happens when one idea leads unexpectedly into another.
Progress matters more than completion
Mathematics is not something you finish; it is something you keep returning to.
Where the site is going
WillTeachMaths is still growing.
I am adding to it steadily, improving what is already here and building new tools, explorations and resources over time. The long-term aim is for the site to become a free, carefully curated place to explore mathematics: useful for teachers, accessible to learners and deep enough to reward curiosity.