"Distributive justice is not only a central issue of moral and political philosophy, but also an object of common-sense moral reasoning. Everyone is sensitive to the question of his/her share of the common good. Even those who get the best piece of the social pie are in need to justify the actual model of distribution. It has become a truism that most people (especially in the transition countries) experience their own social position as "unjust", relying on certain intuitive principles of distributive justice." from the Distributive Justice Web site
This is an incredible site, online since 2001, that engages you in the theory of distributive justice, via a game (depicted below), forum, newsletter, mailing list, interviews and a solid discussion of the various theories of the field. The site hasn't been updated in a while but it is an excellent introduction to an important topic. Be sure to read about the theory and play the game.
lesson 3 of the Class of Nonviolence, when we discuss Dorothy Day and poverty, especially with the essay "Poverty and Precarity."