DISCUS-IS Research Blog · Post 2 of 4 · Series: What Students Tell Us
How discourse in small groups supports conceptual understanding in the introductory statistics classroom
DISCUS-IS Project Team · NSF IUSE #2314358 · Tags: Discourse · Meaning-making · UDLThere is a version of statistics instruction in which students are receivers: the instructor explains, the student records, the test confirms whether the transfer happened. Most of the students we spoke with had experienced that version. The SBI classrooms we studied in the DISCUS-IS project offered them something different — a class in which their own thinking was the starting point, not the endpoint.
Across our interviews and focus groups with 36 students, discourse in small groups emerged as a central mechanism for learning. Students didn’t just describe liking groupwork. They described how talking through ideas — with peers, not just with an instructor — helped them understand things they couldn’t quite hold onto alone.
Heidi made a case that any learning scientist would recognize:
I feel like it’s a lot easier to get other people’s voices in the conversation to actually bring your conclusion together. It makes it easier because you’ll remember it more if you actually can talk about it instead of just like watching someone be like, “Yeah, this is what’s going to happen. This is why.”
— Heidi, student participant
This is the difference between encoding and retrieving on one hand and generative processing on the other. When students articulate a statistical idea — explain to a group why they think the p-value suggests what it suggests, or push back on a peer’s interpretation of a distribution — they’re doing something cognitively different from watching an explanation. They’re constructing the idea, not receiving it.
Madison described what she found valuable about group discussion in language that captures something important about diverse classrooms:
It’s kind of like group thinking. We discuss how we perceive it and how to do the problem and then we group share it. It has definitely helped me see how someone else does it. And then you can kind of take bits and pieces from your own stuff and their stuff to put it together.
— Madison, student participant
Avery put it more briefly: “I think it’s very beneficial to bounce ideas off of each other because then you’re talking about it and it’s not just an idea in your head, like it’s actually coming to fruition.” Nathan added that hearing explanations from peers — not just instructors — can “really clear up a lot of the issues you can have with the subject.”
This points to something the neurodiversity tradition understands well: heterogeneous classrooms are not a challenge to be managed. They’re a resource. When students with different cognitive profiles, different prior experiences with mathematics, and different ways of approaching uncertainty discuss a problem together, the group has access to more approaches than any individual — including the instructor — could offer.
Students were clear that not all talk is equally useful. Discourse worked best when it was structured around a specific question or concept, when it was followed by whole-class synthesis, and when the instructor was present enough to redirect without dominating. Selena described a moment when her instructor held back from giving the answer and let the group work toward it: “She wouldn’t tell us the direct answers. So we would have to work together and be like, oh, what is the answer? Like is one of us right? Is one of us wrong?”
That productive uncertainty — where the group is genuinely reasoning rather than waiting for confirmation — is exactly what the simulation-based inference approach is designed to create. The curriculum invites it. The instructor’s role is to protect it.
Several students connected discourse-based groupwork not just to understanding but to engagement. Ophelia described it plainly: “I feel like I learned better when it’s more hands on and I stay more engaged than if it’s just him reading off a PowerPoint.” Felicia found that group discussion “keeps me from sitting and just staring at my paper.”
This matters instructionally because engagement is often treated as something students bring to the classroom — a prerequisite for learning. What students in these classrooms describe suggests something different: that the structure of the classroom creates the conditions for engagement, not the other way around.
The full DISCUS-IS resource library is available to credentialed educators and researchers.
Video artifacts from real classrooms, interview transcripts, instructor protocols, and student concept inventories — all housed in our protected SharePoint site to honor participant rights. Credentials are granted on a rolling basis to educators and researchers working in postsecondary mathematics and statistics.
← Post 1: What makes groupwork actually feel like groupwork Next: Who’s more likely to ask for help →
Part of the “What Students Tell Us” series · DISCUS-IS Project · NSF IUSE #2314358