I am teaching mathematical proof to kids (10th grade) and am of the opinion that proofs of theorems are a good place to start, where almost all of mathematics' important players come together.
On one side, we have logical structures like propositions, consequence, rules of inferences, propositional logic/calculus, etc.
Then we have formal system, axiomatic system of natural numbers say, on the other side, which has structures of math like axioms, primitive notions/functions, theorems, lemmas etc.
And then we have proof itself where there are various techniques like direct proof/ indirect proof, reasoning (deductive reasoning), using various axioms, theorems etc.
Kids usually struggle with every one of these concepts, let alone all of them together. It is difficult to get the whole picture and all the moving parts. So this place (proof) seems like a good place to show all of this in action. I could make infographics myself, but it would take some time. So I wanted to know whether someone already has done such and is willing to share?
Also, if I were to create such an infographic, how do you suggest I begin, and what, in your opinion, must it include?
[Edit]: I uploaded an initial version of infographic to github, please click here to see. I VERY EAGERLY wait for your INVALUABLE feedback/suggestions to improve this infographic...