Middle school

Proofs are of central importance for understanding mathematics, any deeper understanding of mathematics require that you know how to read proofs and how to construct proofs yourself. But writing proofs is seen as difficult in high school math today, and is usually avoided. The few proofs that are given are intuitive and informal, and varying in style and rigour. We show how structured derivations makes proofs easier to construct and analyse, by requiring that each proof step comes with an explicit justification.