In order to move beyond Manomayakosha, we must practice the eight limbs of Yoga. The final four: withdrawing inward, concentration, meditation and divine consciousness are the paths which move us beyond our mind body.
Pratyahara is the practice of moving inward. Our skills of asana and pranayama lead us toward a more quiet body and mind thus preparing us to release from the bondage of the physical.
Dharana is that one-pointed concentration developed through consistent practice and dedication. When we release the physical, we are better able to look within in our own Self and focus.
Dhyana is meditation; the practice of being in stillness on every level. Meditation can occur while seated or moving. The key aspect of this practice is that you are one-pointed and still within.
Samadhi is the ultimate state we work to reach. It is similar to dhyana with the exception that you are not effected by emotions, attachments, etc. You are still and peaceful on all levels and move through life in this way at all times.
Our Self is made up of many levels. The koshas are considered the layers of the Self. Manomaya is the layer within which the mind or manas and the emotions are prominent.
Our mind is constantly chattering away. It tells us our desires, needs, dislikes, etc. All of these things are directed by the ego. The ego places labels upon everything we experience. Our emotions are attached to these experiences and, through them, we develop samskaras or impressions.
Manomaya is the layer within that we must work the hardest to move beyond. If we can let go of our ego then our mind can quiet. If we can move beyond our emotions, we can view the world with less bias and judgement. Our practice is to let go of these things and become less attached to our self and that which lies outside of us.