If this were true, then you could stimulate the economy by giving everyone a $10 tax break on the condition that they give that money to someone else.
The only way it works, is if rather than giving the money, they use it to purchase some good or service-- that is, value added to the economy. Simply moving money around doesnt cut it, there has to be something that you're exchanging the money for.
Otherwise, we would have our ditch diggers use spoons, and have workmen build highrises without the assistance of cranes. Sure, it would take them forever to put a building up, but think of the employment opportunities! Except that the actual goods produced by our economy would drastically fall if we approached industry in this way and we would cease to be economically competitive with other countries.