I guess there are various types of meditations and thus various kinds of goals associated. I will only focus on Buddhist meditation and the associated objective (as per my understanding).
To me, meditation is about the mind’s intent. Why doesn’t the mind stay or do as we wish? We might think that there is nothing complicated about knowing our own intentions. Afterall, what's so difficult about knowing our own mind? The truth is the mind had been habituated since time forgotten into obfuscating, hiding and deceiving itself about its true intentions (desires, aversions and delusions).
The mind is like a layered cake. It usually reveals only the intentions of the outermost layer. We frequently see it as the intent to gallop with the world, chasing after whims and fancies at the slightest provocation. It takes a lot of patience, focus and letting go of existing preoccupations to quieten the mind till it is willing to reveal its inner intentions.
Have you ever encountered a meditation session where you consciously let go of a particular thought to focus on your meditation object, only to find the thought keep coming back in one disguise or another despite repeated/deliberate dismissals? If we instead “stare intently” in our mind at this thought and tried to understand its allure or attraction, occasionally, something strange happened. We get to peek into the motivation that makes the mind pick up the same theme or fabricate the same mental formations time and again. Once, we see the true allure, usually we’ll immediately see how the mind creates a story around this attraction. We’ll see the fakeness of the whole exercise and its accompanying drawbacks and problems. Then just as quick, the mind suddenly let go of this incessant preoccupation.
The question is how intense must we “stare intently” before the mind is finally willing to let go, once and for all? I think this is where the importance of concentration comes into play. If concentration is weak, the resulting insight penetration will be weak and the peace and wisdom that arises will also be transient and fleeting and the same theme will be revisited sooner or later.
The practice for a beginner is difficult because it requires juggling a whole bunch of things. Trying to deepen concentration, letting go of immediate preoccupations, plying open incessant repetitive thoughts to penetrate the true intent and allure behind them in order to weaken their grip. At the same time, eliciting sufficient inner peace in order to encourage the mind to want to stay with itself here in the present moment.
I usually start by making the mind intent on a meditation object (usually the breath for me or in your case, perhaps, bodily sensation) to help give rise to a sense of physical comfort and ease. As the physical comfort spreads, the mind naturally quietens down further. The more we genuinely try to stay with the meditation object here and now, the more we are rewarded with stillness, ease and a wonderful peace. This deepening of concentration also helps to increase the awareness and sensitivity of the mind to its own intentions. This process continues till the need for the meditation object is relinquished as described in stage six of the book Happiness Through Meditation by Ajahn Brahm.
I believe this virtuous cycle of using intention (with a meditation object) to deepen concentration to induce deeper insight that results in deeper peace and stillness that in turn deepens concentration is a part of the noble eightfold path of right effort, right mindfulness, right concentration, right intention (resolve) and right view. The ultimate goal is naturally liberation such that no further work needs to be done.
The above would seems a lot so personally, I will just focus on deepening concentration correctly and reaping the reward of ease, comfort, stillness and peace in each meditation session.