Breathing properly and consciously assumes an attitude of openness and attentiveness. Our breath has a connection with the deeper emotional layers of consciousness. This is evident when we are emotional, angry, or anxious. At the same time, however, our breath remains open to those dimensions of our consciousness where we unfold and become receptive to God.... We need to discipline ourselves to attain an inner stillness and receptive attention toward God, who is our beginning.
Mindfulness is an ancient form of meditation in which one pays attention to the present moment and all that's unfolding in that moment, both within and around one. It's known also as conscious living because the person practicing it is forming an aware and intimate relationship with each moment.
When practicing mindful meditation we aren't striving to do anything, we aren't grasping, struggling, thinking, expecting, or wanting but simply letting whatever is there be there and paying attention to it in a non-judgmental way. We come to terms with reality as it is, bringing all our awareness to it, breathing with it, attending it.