The meaning of the "times of the Gentiles" is unknown because the Bible doesn't say. So people speculate. And all speculations are based upon assumptions that fit a person's preferred eschatological position so they are useless for discerning between competing eschatological systems like Futurism and Preterism. The first task for anyone who wants to know what the Bible really teaches is to AVOID ALL SPECULATION and first establish the "Big Picture" that can be confirmed by many witnesses (mutually confirming verses). When this is done, you can then speculate about the things that are not clearly established by many clear and unambiguous verses.
If you follow this simple rule, you will see that the Futurist eschatology crumbles to dust before your very eyes.
Take a look at my review of the three synoptic versions of the Olivet Discourse called The Synoptic Apocalypse (because it speaks of the same events as Revelation) and let me know what you think. A good place to leave comments would be on the thread I started on this topic back in April 2008 of the same name. Here is my opinion about the "times of the Gentiles" that I wrote for that article:
Originally Posted by The Synoptic Apocalypse