I always review my lecture notes the day before I cover the material. Besides simply re-familiarizing myself with the topic, I get to sleep on it. When I wake up the next morning or possibly in the middle of the night, new ideas are often floating around in my head, thus to be bluntly direct about it, leveraging my sleeping hours.
I have only one lecture to give today and no significant other tasks to complete so my last night’s sleeping mind was free to “concentrate,” if that is the right word, on my upcoming class. Specifically my idea, which I have used previously, was to prime my students by simplifying algebra expressions with single letter variables before simplifying expressions with sines and cosines, not the entire simplification just the difficult parts. I know which parts from experience. Nothing earth shattering but I think this technique will be telling.
The mental process of rehearsal and the anticipation I feel (I can’t wait to get to class) resulted this morning in a pleasant twinge of joy – the joy of explaining.