In fact, most modern definitions of dressage state that the goal is to have the horse perform under saddle with the degree of athleticism and grace that it naturally shows when free.
They achieve this by lifting the forehand, raising the neck and making it bigger by flexing the poll, while at the same time transforming their gaits to emphasize more upwards movement.
This natural ability to collect is visible in every horse of any breed, and probably inspired early trainers to reproduce that kind of behavior in more controlled circumstances.
The training scale (as set for in the German riding instruction) is to physically develop the horse in a consistent manner with longevity in mind.
The horses were trained to perform a number of airs above the ground (or "sauts d'école") movements, which could enable their riders to escape if surrounded, or to fight more easily.
However, there has been criticism by some riders for the trend at all levels for "quick fixes" and incorrect training that makes the horse appear correct, but that is in fact neglecting the fundamentals.
Classical riders criticize such training methods on the grounds that they are biomechanically incompatible with correct movement, are painful to the horse, and cause long-term physical damage.
While these modern methods, such as the highly controversial rollkur technique, can produce winning animals, classical dressage riders argue that such training is incorrect and even abusive [citation needed].
Independent classical dressage trainers also endeavor to keep this branch of the art alive, including the Portuguese riding master Nuno Oliveira and his students, Bent Branderup, and the American clinician, Paul Belasik.