Prayer means many things to many people. Some people say their prayers, some people read their prayers, while other people pray there prayers from their hearts. There are also varied intensities in prayers. There is just the causual prayer, where yes we mean them, and we are sincere, but there is no intensity that goes into that prayer. The Bible says that "The effectual, fervent prayer of a righteous man availeth much. I believe that God hears everyone when we prayer, I think the person who lives to please God has a more effective prayer when he/she prays. So, the person praying makes a difference as well as the intensity of the prayer. There are times that we cry out to God, almost in desperation. There are prayers that are prayed with groanings. Sometimes we pray in the Spirit, and then the Holy Spirit helps us pray, because there are times that we don't even know how to pray. There are times that we pray in a language that God gives us.
We had a friend that when we first knew him, when it was time to pray over the meal, he would get a little pocket book out and read a prayer. I think he was sincere, but just didn't know how to pray, and he lacked the maturity to pray from his heart. He has been married to a lady who I think had more spiritual insight than he did, and from living with her, he is now praying his prayers, instead of saying them, or reading them. If you have to read your prayers, then by all means read them, or if you have to say a prayer from memory, then do that, but I think it is great when you can pray your prayers from your heart.
Do you remember prayers that you prayed when you were a little boy or a little girl? I was young enough that I don't remember how I came to know this prayer, but I think my older brother taught it to me. The prayer was, as I remember it anyway:
"Now, I lay me down to sleep. I pray the Lord my soul to keep. If I should die before another day, I pray the Lord my soul to take."
Very short, very simple, and almost poetic, and that is it.