This paper has aimed to remedy a neglect of multi-party disputes by addressing how those involved in a two-party argument may collaborate with others who are co-present. Collaboration is a complex phenomenon. In the first place, we have seen that disputes, although initially produced by two parties, do not consist simply of two sides. Rather, given one party's displayed position, stance, or claim, another party can produce opposition by simply aligning against that position or by aligning with a counterposition. This means that parties can dispute a particular position for different reasons and by different means. It is therefore possible for several parties to serially oppose another's claim without achieving collaboration. A second complexity, then, is just that collaboration is a negotiated phenomenon. For example, while it is possible for an outside party to produce an uninvited alignment display that is sympathetic to an already-stated position in a two-party dispute, the party whose position it supports can agree or disagree with that display. Thus, outsiders' uninvited alignment displays that occur subsequent to those of the insiders or principals in a two-party dispute must be considered as collaboration offers, which can be accepted or rejected. But that is not the end of it, for an outside party can offer alignments that now align with a principal party's position and then, addressing a different aspect of the principal's talk, align against it. Finally, in addition to being offered, collaboration can also be solicited. A principal in a two-party dispute solicits collaboration by inviting an outsider to display an alignment favorable to inviter's own position or to participate in a joint activity that supports that stance. Such solicits can be accepted, rejected, or, again, handled in such a way as to exhibit neutrality. Argumentative collaboration, in short, is a specific, momentary, and delicate state of affairs that is also an organized, technical achievement.The fact that the subjects for this study were children has become submerged in the formal analysis of alignment structures and collaboration. Thus, following this research, two directions can be pursued. One would be to ask how children's arguments differ from those occurring among adults. A reasoned answer would be that matters of substance or content may distinguish disputes among youthful persons from those occurring among older ones, while the forms of disputing remain relatively invariant (Maynard, 1985a, 1985b). In other words, by studying multi-party disputes among first-grade children, we learn about the structure of collaboration as a generic phenomenon among at least practitioners of standard English no matter what their age. This claim can be sustained in part because the analysis presented here depends upon deriving a priori conventional relations between utterances, rather than statistical relations between variables (Coulter, 1983). We have not examined exogenous influences — which would include the age characteristics of participants — on disputes, but rather the endogenously-produced structure of argumentative discourse. Still, the claim that patterns of collaboration are generic to children and adults can be examined with further research on multi-party disputes among different age groups.Another, more radical, research orientation, would be to consider, in any social arena where the members are identified as children, how it is that such a "membership category' (Sacks, 1972) is relevant. If that query is made, then research on "children's arguments' would involve investigating formal practices for exhibiting the accountable category "children' as much as it would mean describing the ways that disputing is done. Those who have studied children's arguments, in Pollner's (1979) terms, have treated "children' as a social fact, a "thing,' rather than as a socially organized meaning, or "ing.'To attend to the -ing of things involves a radical modification of the attitude of daily life, for it requires attending to the processes of constitution in lieu of the product thus constituted (Pollner, 1979: 253, fn. 11).In short, we have treated arguments as the important event without also seeing how it is that the category "children' is constituted as a recognizable feature of and within the research setting.