In Pilates, you will always aim for smooth movements at a controlled pace. The breath helps to create the rhythm of the movements, which gives a natural flow to the movement and calms the mind. When you have mastered some of the exercises, we might string some of them together in sequences and transition smoothly from one exercise to the other.
You can also think of the flow within each exercise. For example if you think of the Chest-lift (sometimes called curl up, like a half sit-up): you intiate with your breath, then engage your abdominals, find length through the spine and engage your lats (draw your shoulder blades down) and then lift your head and chest. So lots of muscle activation happening with only milliseconds between each one, it becomes one continuous flowing movement.
So next time you are doing your Pilates, think of every part of every movement you do during your session as being important. When you finish the last rep of an exercise, think about where your body needs to be in preparation for the next one, and make the change of position part of your Pilates session.
This will help you build stamina, as you are working continually without rest. Movement without a tea-break 😀