Here is my attempt to answer this question in an article posted at Christianity.com. I wrote this about eight years ago—so it’s not as nuanced as something I might write today (i.e., I’m so much smarter now, blah blah blah)—but it’s a good representation of where I’m at on the question. In addition, here is a response to my article by non-dispensationalist Nathan Pitchford. The editor of Christianity.com invited me to write a rejoinder to Pitchford’s response, but my schedule would not allow. If you’re looking for the best available explanation of the core elements of dispensationalism, see Dispensationalism: Essential Beliefs and Common Myths by Dr. Michael J. Vlach (Theological Studies Press, 2008), which I reviewed here. It will help you answer the question of whether you yourself are a dispensationalist.
Are You a Dispensationalist?