Purpose: We are part of everything. Everything is connected and at the most basic level of existence, that which comprises everything, intelligence exists. Even hardened scientists grudgingly acknowledge this truth, though of course, for them, there must be a secular reason to explain it, if they could only find it. In focused meditation, we invite the Universal Mind to address our difficulty, without outlining the solution. In short order you will intuitively know what to do, the answers just come. We begin to rely on the infinite, all knowledgeable Source instead of our finite vision and fear-tinged solutions.
Chanting Meditation: Begin with cleansing breaths. You probably want to find an undisturbed quiet spot that is additionally out of the earshot of others. You will not be shouting, though you can if you like, but you will be speaking aloud. The chant can be anything really, however it is suggested that it have some spiritual significance for you. Keep it short and simple: God is great or There is only one God or Divine love drives me or be still and know that I am God you get the idea. Close your eyes and begin chanting until the transition. What is the transition? Trying to explain it is akin to standing blindfolded before Michelangelo’s David while a friend tries to describe it. The first time you experience this transition it will frighten you. This is natural, for the transition is dipping down into the subconscious where we touch the infinite.
Purpose: By staying focused on the chanting, the conscious mind loses its grip and the sub-conscious floats to the surface. We transition into a waking dream. With consistent effort and practice you will find yourself actually leaving the conscious realm entirely and walking the hidden world of the sub-conscious. Your body will continue to chant but you will lose awareness of it as you travel the astral planes (yep, there are more than one). If you walk this path, make sure your body is left in a safe place for in a deep meditation, though connected to your body you will not feel it in any real sense.
I have outlined some simple methods of meditation, there are many others. In closing hold this truth evident: the purpose of meditation is not to become better at meditation, that will happen naturally in time, the purpose is simply to meditate. Be consistent, don't struggle and in short order this quiet time with the miraculous will become as natural as breathing.