What was the second temple in Israel's history?
That second temple, rebuilt by Ezra after the Babylonian captivity, was initially a modest, makeshift structure unlike Solomon's glorious temple. Herod the Great later remodeled and enlarged it, making it the temple that stood at Christ's first coming and that the disciples referenced in Matthew 24.
Les teaches that in Israel's history there have really been two temples in the past, and a third is about to come. The first was Solomon's, built around 960 B.C. The second was the one rebuilt first by Ezra as the Jews returned from the Babylonian captivity, but it was pretty makeshift—not anything like the beauty of Solomon's temple, because they lacked the numbers of Jewish people and the accumulated wealth. Then Herod the Great came along 50 or 60 years before Christ; he was pompous and loved to build beautiful things. He was embarrassed that Israel's temple was nothing like Solomon's, so he began remodeling, extending, and enlarging the second temple, which was a remodeled one of Ezra plus Herod. That was the temple built at Christ's first coming, and the one the disciples were talking about in Matthew 24. Every Jew was rather proud of their temple.