Teach a man to fish, and he'll be not hungry for a lifetime. Give thousands a fish, it's charity. Teach thousands how to fish, and suddenly we're in the realm of economic theories of scarcity.
Give a man a rod and teach him fish, and watch what he does afterwards. If he makes a monopoly, good, but if he teaches further, it's even better. You don't have to do anything to keep your ideas around.
Give a man a fish, and he'll be fed for a day. Teach a man to fish, and he'll use the fish catching skills to catch hares using the fish bones leftover from the last meal. Such is the life, when you have fish, you eventually want eat hares too.
Give a man a fish, and he'll be fed for a day. Sell a man a cooked fish, and he'll be fed and satisfied at least for a day. Teach man to fish and teach his friend how to cook it, suddenly you have a business of satisfying others.
Give a man a fish, and he'll be fed for a day. Teach a man how to fish, and suddenly he calls you a master and expects everything coming from your mouth to be profound.
Give a man a fish, and he'll be fed for a day. Teach a man how to fish, and suddenly he's complaining about labor market, fish being thin, and no baits to you, who taught him to fish.
Give a man a fish, and he'll be fed for a day. Teach a man to fish, and he will fish as a hobby. Not every man has enough potential to be a fishmaster extraordinaire.