If you have just read through the words, without attaching your mind and imagination, you have not davened. The words, though sacred, are but an opportunity for real prayer. Don't neglect them, but don't get stuck in them either. Find your own rhythm. Sometimes you might linger on one or two words, and sometimes you'll want to fly.
Jewish prayer is musical.
Even when we daven quietly, we chant the words rather than just recite them. When readers chant the Torah or Prophetic sections, they do so according to ancient musical modes called nusach. Different modes apply to each section. There is also a lot of congregational singing. We often add niggunim, melodies without words, to our service.