Centering prayer is a method of prayer that leads a person into deep contemplation, and can be practiced once or twice a day, for maybe 15-20 minutes. It is a useful spiritual tool, to be used along with all the other spiritual disciplines.
Anyone interested in centering prayer would find a place where there is little or no distraction, and would sit quietly, eyes closed, as they approach the Divine in prayer, in meditation. Having chosen a 'sacred word' they would use this when any distracting thoughts arose. Is the idea to let your mind go blank? Some will have so many fleeting thoughts they may think this an impossibility, but gently saying, when needed, that sacred word will take our attention off that thought. And that's part of the essence of centering prayer - to pay no attention to those thoughts. The 'sacred word' is our consent to the Divine that we're serious about our approach and can be used when a thought materialises..
As time goes by, you will be ushered into that 'gap' where God is. That 'gap' is a liminal place - a threshold and there's a 'door' there, the portal between here and there. Interestingly, our role is to come to that 'gap' and surrender all thought. It is the Divine's work to open the door, as it opens from the other side.
Ofcourse, afterwards you will realise that God is everywhere and not just in that prayerful 'gap', and so centering prayer should have a positive effect on your daily life.
One of the challenges of this type of prayer is that when one thinks in that gap, 'Am I in that 'gap' with God?' or 'Oh, was that God?' or even 'I am so enjoying this', or when mundane thoughts like, 'Did I leave the iron on?, these are thoughts and such thoughts propel us instantly out of that 'gap', like a 'kick' that 'wakes us up', and so we, our true self, are then not in that gap. Saying the 'sacred word' once or twice, may bring us back to that place of quiet, of solitude. Any questions or reflections are best left until after the prayer session, and even then are best minimised.
The abovementioned is very simplified, and you may have noticed it is apophatic prayer, akin to St John of the Cross' 'cloud of unknowing'. It's a beneficial, little used form of prayer, practiced for over 1500 years before the 'enlightenment', and those who use it find it a profound encounter with the Divine.
Tadhg Jonathan organises events on this theme. For more information see: http://www.caolait.org/cloudofunknowing
