As a mathametician, I’ve learned to show a strong proof with a model.
For example, sometimes I didn’t show my strong proof and then when people look at my notebook, they will get confused.
Another example, like when you just write numbers and stuff, and you have no strong proof, then people won’t get what you did and they will get confused, they need to see a strong proof. It happened to me once, I forgot to show my strong proof and I showed it to the teacher without knowing.
After reflecting on my work in math, I realize that again need to practice on my mathematical practice by using tools in a smart way to explore and understand math.