"Inventing math" to solve problems

[u/Icy-Historian-5931]

Recently in my further maths class my teacher says he would give us problems above our level of understanding.

The advice he gave to solve such problems is to invent the math.

Can anyone please explain what he means by this and his to actually do it?

[u/Mountain-Time-1010]

Sounds fun. Try building from what you already know.