One thing I learned at the Fiqh of Salah class I took a few months ago was the importance of Qiyyam ul-Layl. Shaykh Yaser Birjas described it as an institution for the Sahabah, that they had to become like students of Qiyyam ul-Layl to develop themselves as Muslims.
I think Ramadan is also a kind of school, teaching us to be better Muslims. So we spend a month engaged in worship--fasting, prayer, charity, and general good deeds--but it's not supposed to stop there. In fact, it should be training us to engage in worship throughout the rest of the year. It's a "boot camp" of sorts to prepare us for the rest of our lives. But it's just the training, and we shouldn't leave everything off when Ramadan is over.
One thing that I started doing a lot more of this Ramadan is Qiyyam ul-Layl. And even though I felt like I didn't get as much from Ramadan as I had really hoped to (in terms of reading and memorizing Qur'an especially), I can at least say that Qiyyam became an easier and regular habit for me. I'm not talking about taraweeh exactly, but praying Qiyyam (specifically Tahajjud) before fajr time. Alhamdulillah that I was able to do it. Over the last few months I've really struggled in trying to make Qiyyam a regular habit, but Ramadan definitely helped me get to that point.
So I like to think now that I am going from the school of Ramadan to the school of Qiyyam ul-Layl, to another level of training and disciplining myself. I pray that Allah accepts my siyam (fasting) and also my qiyam (standing in prayer), and makes me one of those who regularly pray Qiyyam ul-Layl.