As you work from your center, you must also control the movement.
The genius behind the Reformer is that it gets you moving in an anatomically correct manner, under the full support of the apparatus.
But then, bit-by-bit, you remove elements of machine support, so that you must rely increasingly more on your own core strength to supply control.
Take Footwork, for example. With feet on the secure foot-bar, there is simply no way you will lose your alignment during the exercise.
You do, though, exercise control by smoothly pressing the carriage in and out, without banging it.
But when you proceed to Leg Circles and Frog, you replace the stability of the footbar with the instability of the straps.
You must consciously control exactly where your legs and feet are. Your body experiences additional challenges as you progress from supine (on the back) exercises, to sitting, standing, and kneeling, all of which create unique demands upon the body.
In every new position, focus on maintaining stability and alignment while working through the correct range of motion.