Sabbath keeping, like everything else theological, becomes real to us only when we start to try and do it. It's a little like higher mathematics.
I remember how well I understood the teacher's explanation in class, only to find I understood nothing when alone in my dorm room with a particular problem. Comprehension and appreciation came slowly as I gradually solved the equation. I changed while engaged in the task, becoming less an observer of mathematicians at work and more nearly a mathematician. In the interest of truth, I must confess I never became much of a mathematician!
We become mathematicians by doing math. We become Sabbath keepers by keeping Sabbath.
How might we get started?
For many of us, setting aside the time needed to participate in community worship might be the best way to start. Rami's earlier point is well taken. Community worship is too noisy, filled with words and actions. It usually is short on silence. Still, it breaks the typical rhythm of life. Its odd vocabulary, readings from ancient texts, hymns of varied quality, prayers and the like at least cut us loose from what we do most of the time. Perhaps the only way to begin to break our addiction to "the noise of life" is to substitute a different kind of "noise."
Beyond community worship, being still and silent before God helps. Some of us may be able to do this for an entire day. I suspect most of us need to start with something less ambitious. I find it useful to carve our some Sabbath day each day. If possible, I find a place where I can be alone. I sit with my eyes closed and my hands resting comfortably on my legs. If someone were to see me, he or she might think I was napping. I slow my breathing and wait quietly before God. This daily (well, almost daily)mini-Sabbath helps ground me in God.
Rami probably has additional suggestions. Certainly, numerous books and articles have been published in recent years on the subject. My fear is that many of us are daunted, afraid to try because we know we do not know how to do Sabbath. Getting started is the main thing.