Thoreau Knew it in the 19th Century!
Get Moving!How vain it is to sit down to write when you have not stood up to live! Methinks that the moment my legs begin to move my thoughts begin to flow--as if I had given vent to the stream at the lower end and consequently new fountains flowed into it at the upper. A thousand rills which have their rise in the sources of thought--burst forth and fertilize my brain. . . . Only while we are in action is the circulation perfect. The writing which consists with habitual sitting is mechanical wooden dull to read.
Take stock of your students when you go back to school and see which ones need to move around to get their thoughts to flow. The dividends may be huge.