I started riding in the 50's.
Then much of the teaching methods were based on the army way. We were first taught to do a good sitting trot, often cantering before we were allowed to rise. Most of out rides were on trails, the instructor would be behind and see everything and yell at you to correct it.
As we progressed to more advanced rides so things got far more fun and tougher.
We were sent up the jumping lane without reins or stirrups, often having to take our jackets off and hang them on the post at the end and then next time pick the jacket up and put it on whilst cantering around the arena. Most of the lesson was without stirrups and on flat saddles.
We also learned to remove the saddle and hold it in the oar whilst cantering around the arena.
What was the point of all this?
It taught you the most important thing, balance with your horse, an independent seat, confidence in your ability, how to fall and get back on. To laugh at your falls, to ride any type of pony or horse because we were frequently swapped from one to another.
We were corrected on faults but never forced into a position. Those that wanted to compete had to prove their ability before Boeing allowed to.
All the horses and ponies in that riding school competed at shows and at one point there were seven ponies all top grade show jumpers (that also evened) capable of holding their own against the best junior jumpers in the UK, yet all worked giving lessons.
I find instructing hard nowadays because it is the softly softly approach. There are those that will take the tougher teaching but generally most newer riders are only up to the soft touch.
Heck! Of I were to take a bunch of children, who were serious about competing, as we were taught they would need a laundry change!