Despite a resurgence of interest in character education, just what 'character' means is contested. Two strands, while overlapping, diverge on several questions: Is character centrally about moral qualities or more inclusive? Does it consist of one or multiple traits? Does it regard virtue as independently or instrumentally good? Is character a set of dispositions or behaviors? Is it a matter of reflection and reason or habits and skills? Those aligned with the first part of each dichotomy I label purists, the second reformists. In Parts I and II the two perspectives are detailed. While some advocate merging the two camps, as reviewed in Part III, I objection to this proposal. Such a marriage blurs key distinctions and obscures the centrality of morality to character. It also questionably enlarges the role of schools. The conclusion reached is that the role of schools in teaching character is limited.