This article uses a cultural-developmental framework to illuminate the interplay between collective and individual activity in the mathematical reasoning displayed in a university Masters level lesson on fractals. During whole class and small group discussions, eleven students, guided by an instructor, engage in inductive reasoning about the area…

Collaboration is an aspect of engagement that focuses on learning through group work and having discussions with other learners. Active learning approaches are a way to foster collaborative engagement because they provide more opportunities for interaction among learners. Process Oriented Guided Inquiry Learning (POGIL), a socially mediated active…

Learning to facilitate whole-class mathematical discussions is a complex task. Teachers must become adept at using discourse moves to elicit and extend student thinking and move discussions towards a mathematical point. Practice-based mathematics methods courses give pre-service teachers opportunities to rehearse these moves in a controlled…

This study proposed an analytic framework for coding students' dialogic argumentation and investigated the characteristics of the small-group argumentation pattern observed in modeling-based learning. The participants were 122 second grade high school students in South Korea divided into an experimental and a comparison group. Modeling-based…

This study examines the use of narrative and paradigmatic modes of explanation in large group discussions about science in preschool classrooms. Participants comprised students and teachers in 29 preschool classrooms, 19 of which used the ScienceStart! curriculum, a hands-on, inquiry approach to teaching science with young children. Analyses of…

Is it feasible to hold concurrent, small-group, peer-managed discussions in large elementary school classes? We sought an initial answer to this question in a fifth-grade class in Hefei, China. The 52 students in the class were divided into seven small groups. The seven groups held four simultaneous discussions without immediate supervision or…

In this paper we investigate the value of collaboration scripts for promoting metacognitive knowledge in a project-based e-learning context. In an empirical study, 82 students worked individually and in groups on a project using the e-learning environment MyProject, in which the life cycle of a project is inherent. Students followed a particular…

Project-based learning engages students in problem solving through artefact design. However, previous studies of online project-based learning have focused primarily on the dynamics of online collaboration; students' knowledge construction throughout this process has not been examined thoroughly. This case study analyzed the relationship between…

Advocates of computer-mediated instruction have pointed to the potential of online teaching for facilitating students' active learning behavior. Small-group online discussion can have a role in meaningful student interaction. Yet, what is less known are the conditions under which students actually engage in interaction in online discussion groups…