The horizontal alignment vs. vertical alignment gave me some ideas about how to cover more ground in my introducgtory classes. There is quite a bit of similar content in two courses. I have been locked into this idea that I had to cover the same material in both, but I think this gave me "permission" to think more about how to lighten up in the overlapping material so we can explore the dissimilar content in more depth.
Also, I have been trying more this year to think about where we want to end - the objectives - than where we want to start. It is like a roadmap (if you remember those) when you are planning a vacation. You need to figure out where you want to end and then figure out how to get there.
