I’m not exactly a grammar novice, having studied several languages and taught English as a foreign language, but must say I’ve been bemused by the likes of ‘fronted adverbials’. I would definitely have to ask Mr Google!
I think I was very well taught at the primary stage, but it was limited to verb, noun, adjective, adverb, preposition, conjunction, phrase and clause, etc.
IIRC anything like past or present participles, came later, with foreign language study, inc. Latin.
One thing I’d never even heard of until I had to teach it someone else’s class of Arabic speakers, was the 3rd conditional. Nor had I realised that there were also 1st and 2nd conditionals - as a native speaker you’re not usually aware that structures you use every day have such names.
We taught it (students were mostly young males) like this:
If I win the lottery, I’ll buy a car. (1st)
If I won the lottery, I’d buy a car. (2nd)
If I’d won the lottery, I’d have bought a car. (3rd)
All so complicated for our poor learners!