Memorizing prayers, by definition, means that the prayers become inscribed on your soul in a new way. You become mindful of the words, and they come to rest in the “fields and vast palaces of memory” (see Augustine, Confessions X.12-26), engraved on the walls of those palaces for your perusal at will.
The Daily Office requires each Christian to begin the day by reciting Psalm 95, meditating on the profound similarity between Israel's rebellion and the rebellion that lurks deep in every heart.