"Slow is Smooth and Smooth is Fast."
This quote, with a background in the US Army, is often cited in the training world as well as in the execution of tactical operations. The gist of the quote is, if you rush a movement, task or operation, then you will likely take a longer route to the desired outcome. Rushing results in fumbling and imprecise actions which will delay the success of your mission. Taking the time to be precise, make more economical movements, and make wise evaluations about how to proceed will result in a more effective and quick outcome. Simply put - Don't rush!
I think the application for of this concept as a training method can be more profound. It can really be the difference between mastery and amateur efforts. I have applied this axiom to both my own training as well as that of my students for years with great success.
When coordinating motor skills for martial application, firearms, or sport, or anything else, the recipe is the same. By practicing slowly, you will train yourself more precisely. You will have the time to see and correct any tiny fault. Every time you repeat the movement it will be better. With this analytical approach, you will become very intimate with the movement. Every aspect of it will become very familiar.
Photo: Brett practices his targeting strikes with Tom.
With the increasing familiarity that you develop in practice, you will become more fluid in the execution of the movement. As this smoothness develops, you will naturally become faster. Your body will be able to reference a very clear and specific request when you ask it to reproduce the movement.
Photo: Carlos and Ven practice individual movements of the olympic clean step by step.
Eventually the movement will shift from something you must consciously control into something autonomic. At this point, your body knows exactly how to execute the movement properly, because you have taken the time to program it precisely and without omitting any detail. That's the right path.