My guess on what Joseph meant is something like they do around here where each year they burn down thousands of acres with some nasty chemical and plant corn. Next year they burn it down and plant soy, see, rotated.
I also have a small garden, my idea of rotation is I generally don't plant the same crop in the same spot as the year before, plus something is about always growing. Right now I have short season pole beans growing on spent corn stalks. The corn was harvested, leaves stripped and beans planted a couple weeks ago.
Any empty spot gets planted with something about any time there is season enough to grow it. Also plant stuff for winter cover, mostly turnips and radish. I have pounds of seed so in a few days I will just throw it pretty much everywhere to come up as it wants as things like tomatoes are harvested.
I don't
compost I just pick out spots where I throw everything and later rake off the big stuff, pitch it in another spot and plant something. Noting except what is eaten ever leaves my garden. Even diseased tomato plants are composted in place, I just plant something else where the tomatoes were the year before so I guess that also is rotation. I don't have time or inclination to worry to much over what specific thing should follow what other specific thing.
I don't till or hardly even dig, just rake if necessary and hoe a little to plant. If a bed is badly weedy I scrape it all off with a sharp hoe into the paths. Later when the crop is up I scrape it back up and toss between the rows.
I am still in awe of how much easier it is and how much better my stuff grows than back when I did use a tiller.