I'll have to make a whole post about it later, but I'll leave you somethings that I've figured out about his dialetics that you might find interesting.
Now why dialetical naturalism?
Well, Bookchin considered dialetics to be the logic that can be used to understand how interconnected systems change.
He rejected formal logic because it only views things as they reside in voids. Which is fine when trying to understand a triangle, but for human society it will fail, due to it's complexity and interconnectedness.
Why naturalism as opposed to materialism? Well the dialetics of Marx views society in isolation. As a whole system in itself.
Which, according to Bookchin, is too narrow in it's scope. We must not view human society as a isolated system, but rather consider it as a part of the interconnectedness of the bioregion. Consider it as a part of the eco-system. Consider it as a natural phenomenon in the evolution of life on our planet. We can't consider it as some weird phenomenon happening next to nature, but as one part of the natural interconnected system of nature. Not different from nature, but as one aspect of it's system. You can't understand a beehive without understanding what a beehive does in relation to the flowers. Right? You can't view it in isolation.
Which he wrote entire books doing this.
One more thing I'll leave you with here(I'll make a long winded post for you probably at the end of the month, I have trade school and Microsoft is in town next week so I'm going to be a busy prole for a while)
So why reject an end of history? Either in the marxist sense or in hegels sense? Because it is a vulgar conclusion.
Why do I say this?
Well, because everything is always in motion. It's always changing. This is what dialetics wishes to understand, and to purpose an point where dialetical evolution ceases, in my mind, is to reject the very premise dialetics rests upon.
We may reach full communism on Earth one day, but what happens when human society leaves the earth? What happens when our planet is threatened by a cosmological event? What happens when aliens invade or something?
To consider an end of history and a perfect system is bad dialetics and an internal contradiction in Marxist theory.