I believe the confusion is in the terms.
Prayer in the Christian life consists of the following:
Vocal prayer (Our Father, liturgical prayers, personal prayer, group prayer, etc.)
Meditation (Rosary, Chaplets, etc.)
Contemplative prayer (a union with the prayer of Christ)
While it’s true that Christian prayer is always centered on Christ, the term ‘centering prayer’ can also refer to the eastern/new age style prayer techniques as taught by Fr. Father Basil Pennington and Fr. Thomas Keating, founders of the Centering Prayer Movement.
For more information on the Centering Prayer Movement and on Christian prayer:
A Closer Look at Centering Prayer
The Danger of Centering Prayer and
More articles on centering prayer.
Dangers of fusing Christian spirituality with eastern mysticism
Vatican and New Age
God bless you!