Introducing a new subject
This is a place where I sometimes get stuck for a bit; usually, not that long, but I recognize the need to "think on my feet." Sometimes I will introduce a new subject, but bring back the one I was lecturing on in a subtle way but try to create teachable moments. Sometimes, in fact a lot of the time, it does work, and works itself out. The students will reflect and connect the dots, and it's such an amazing feeling!
I agree and I feel that in many cases, the new subject will help enforce the orginal subject. This is very true in longer classes when students need something else to stimulate their thinking.