What, exactly, do they do?

Recently, Kip's real-life persona was at a meeting held by the Joint Center for International Security Force Assistance (JCISFA). The meeting sought to gain lessons-learned from military transition teams (MiTT) going to or returning from Afghanistan and Iraq. The JCISFA representative related how a recent MiTT trainee told him that tactical training, which takes place at Fort Riley, was fine, but subsequently asked why they weren't learning anything about advising.

The JCISFA representative could have talked to any MiTT a year ago and received the same comment about the training. So, what exactly is it that JCISFA does? Where do these lessons go? And why, more than a year after Fort Riley took the combat advisor mission doesn't it train soldiers to be combat advisors?