Collaborative problem-solving (CPS) involves the interaction and interdependence of students' social and cognitive skills, making it a complex learning process. To delve into the complex dynamics of CPS, previous research has categorized socio-cognitive roles, providing insights into social-cognitive frameworks. However, despite the specific…

This study explores how students deal with material resources in their peer interaction when working in pairs in an open-ended problem-solving task. The productive use of material resources can be expected to support successful peer work. However, research into social phenomena in peer interaction is needed in order to identify and describe…

Understanding students' participation in collaborative classroom settings is important in a variety of educational contexts, with implications for teaching, research, and equity. Using data from a group-centered developmental mathematics class, this research brief illustrates novel quantitative representations of students' group participation and…

Collaborative problem solving (CPS) has been shown to both engage and benefit students' learning of mathematics. However, there is evidence that group work is not always easy to facilitate, in part because educators lack details about learners' engagement during group work: the processes of problem solving involved, and how these are engaged. In…

Off-task activity is ubiquitous in classrooms, yet little understood. Building on recent work that illustrates the utility of off-task activity to disrupt relations of power among students, this article explores the potential functions of off-task participation during collaborative mathematics problem-solving. We examined 56 instances of off-task…

Off-task activity is ubiquitous in classrooms, yet little understood. Building on recent work that illustrates the utility of off-task activity to disrupt relations of power among students, this article explores the potential functions of off-task participation during collaborative mathematics problem-solving. We examined 56 instances of off-task…

Organic Chemistry is considered by many to be the quintessential "weeder course", widely identified in the premed and STEM persistence literature as a gatekeeper to students interested in STEM or health fields (Barr, Gonzalez, & Wanat, 2008; Lovecchio & Dundes, 2002). There has therefore been considerable interest in determining…

Serving approximately 80% of the one million college students taking pre-college-level mathematics classes, community colleges perform an important function in providing access to advanced coursework and degrees. Low success rates in these classes has led mathematics educators to consider alternative forms of curriculum and instruction for these…

Mathematics classrooms have reflected little change over the past century, consisting of the learning of inert, disjoint procedures with few connections between mathematics concepts and students' everyday experiences. However, problem posing, that is, the reformatting of existing problems and the generation of new ones, has been promoted by the…

This article discusses assessments that can be used to help encourage a collaborative classroom community, in which students help one another learn mathematics. The authors describe participation quizzes and explanation quizzes as assessment tools that encourage students to work together, share specific questions on challenging mathematics…

Research has found that students, particularly those in middle school and high school, believe that their participation in mathematics classrooms includes listening to teachers explaining, working in textbooks, and solving exercise problems quickly (Franke, Kazemi, and Battey 2007). In this article, the authors describe a classroom vignette and…

Instructors of physics courses face the demanding challenge of creating a safe, nurturing community in their classroom while maintaining sufficient rigor. First-day activities are especially important, because they need to both motivate their students and prepare them for the course. Experienced instructors happily share their successful first-day…

This article seeks to substantiate the need for the prognostic assessment of the degree to which school students are prepared to master new types of activity, which underlie their design of an individual learning route at an appropriate senior stage of learning. The authors discuss the concept of project competence as an integral characteristic of…

In entry-level university courses in science, technology, engineering, and mathematics fields, students participating in associated laboratory sessions generally do better than those who have no related lab classes. This is a problem when, for various reasons, not enough lab sections can be offered for students and/or when students opt out of…

The publication in June of Sir Peter Williams' review of mathematics teaching in early years' settings and primary schools came at a time when the thoughts of many teachers were turning towards a well-earned summer break. However, the report has attracted much attention and promises a fundamental shake-up of attitudes and approaches to the…