Whenever we hear about the "end-times" or the "last days," it conjures up all kinds of images in our minds. We may think of the universe blowing up with the largest flame imaginable, ushering in a new heaven and a new earth. We have presupposed in the body of Christ that the righteous will be raptured away before all of this occurs, leaving the world to face a massive fire of destruction.
Upon hearing Christians mention the last days, many just assume they're referring to the end of time, and the end of the world. But the attentive Bible student will ask, "The last days of what?"
It seems obvious to me that the text is referring to the end of the Old Covenant-Temple aeon/age. When you read the New Testament through this lenses, all I can say is, "Wow!" It makes a significant difference when you read the Scriptures with the realization that the Bible was written for you, not to you.
We need to also understand that "time of the end" and the "end of time" are not one and the same. The Bible teaches about the "time of the end," but nothing is taught about an "end of time."