Nine Principles
For Great Mathematics Content

1. Learning Should Inspire

Mathematics should inspire and empower students, not scare or confuse them. We should show the surprising beauty and great power of mathematics – and that everyone can “do maths”.

2. Tell a Story

Storytelling can motivate students, make the content more memorable, and justify why what you’re learning is important – including real-life applications, curious puzzles, or historical background. More…

3. Exploration and Creativity

Allow students to explore, be creative, make mistakes, practise critical thinking, and discover new ideas – rather than just telling them the final results and procedures to memorise. More…

4. Mathematics is Everywhere

We are always surrounded by mathematical patterns and relationships. Students should be able to recognise these, and harness the power of maths to solve problems in everyday life.

5. Not Useful, but Meaningful

Not all topics in the curriculum have to be useful in everyday life (neither are Mozart or Shakespeare), but every topic should be meaningful – because of its applications or mathematical significance. More…

6. Mathematics is Visual

Equations are useful, but there are often much better representations of mathematical concepts and relationships. The content should be as visual and colourful as possible.

7. Intuition over Rigor or Fluency

Rigor is an important part of mathematics, and there is also a place for practising fluency – but the main goal should be to develop intuition, deep understanding, and general numeracy. More…

8. Discussion and Teamwork

Mathematics is rarely a solitary pursuit, and many real problems don’t just have a single, correct answer. Discussions, collaboration and teamwork should be a key part of every curriculum.

9. Mathematics is Alive

To make mathematics more relevant, it is important to portray its history, recent discoveries, and current research – as well as the diverse groups of mathematicians and scientists doing this work.