The purpose of this article is to describe findings from a study of teachers' social interaction during discussions about students' thinking. The goal of the discussions was for the teachers to interpret their students' thinking as revealed from work on non-routine, thought-revealing mathematical tasks, known as "model-eliciting activities". The research reported in this article focuses on instances during the discussions when the teachers engaged in what the researcher termed "mini-inquiries", occasions during which the teachers inquired into why their students thought about the associated model-eliciting activities as they did or when the teachers inquired into the underlying mathematical complexities associated with the model-eliciting activities. During these mini-inquiries, the teachers typically engaged in one of four types of interaction patterns that enabled them to meet some of the challenges of attending to students' thinking that are described in United States reform documents.