No higher-order skill will be more important for pupils to develop in the twenty-first century than critical thinking. Schools should integrate it into their curricula, thereby allowing students to acquire new skills in preparation for a dynamic and rapidly changing labour market. Educators, psychologists, and philosophers agree on the importance…

Fractals describe many natural phenomena; their strong visual-figurative nature found its mathematical conceptualization in the concept of self-similarity. In the current study, we investigate how students construct (fully or partially) the self-similarity concept while recursively constructing the Sierpinski triangle, working in small group and…

Active learning, including student thinking and discussion in class, has been shown to increase student learning gains. However, it is less clear how instructor-level variation in the implementation and timing of active learning activities affects student gains. Our study aims to investigate the extent to which the time spent on individual…

Team-based learning (TBL) is a flipped classroom model, where small group discussions and peer learning play a central role. Some of its features, such as scalability to large classes and a high degree of structure, together with a well-documented success rate in other fields, could make TBL an attractive option for the mathematics educator…

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…

The purpose of this study was to investigate the relationship between the nature of small group discussion tasks and learners' talk during Physical Science lessons. The study was conducted during Physical Science lessons with three self-selected groups of Grade 11 learners from one school. A total of three lessons were followed. During the…

Studies in science education have explored contextual features that facilitate students' active participation in discussion in argumentation activities. Based on this literature, we aimed to explore students' practices as they shifted their epistemic practices from unproductive to collaborative meaning-making discussion in an argumentation…

Group activities as part of active-learning pedagogies are thought to be effective in promoting student learning in part because of the quality of discussion they engender in student teams. Not much is known, however, about which instructional factors are most important in achieving productive conversation or how these factors may differ among…

A considerable body of research shows that individuals who demonstrate a wide variety of metacognitive skills perform better on scientific problem solving. We developed a way of implementing homework in an undergraduate physics course to promote metacognitive skills. This novel homework design includes both an individual and a team phase and was…

The present study aims to incorporate a group leadership promotion approach into collaborative learning tasks in the hope of developing students' creativity, problem-solving, and critical thinking. In order to evaluate the effectiveness of the proposed approach, we recruited 59 cross-professional students from a university in northern Taiwan, and…

Supporting students' engagement in meaningful mathematics discussions can be challenging. It involves, for example, choosing tasks that are worth discussing (e.g., Stein and Lane 1996), negotiating norms for how students engage with one another's ideas (Kazemi and Stipek 2001; Horn 2012), eliciting students' thinking, and pressing students to…

An online discussion facilitates students' higher order thinking in online classes, especially when adopted with the instructor's guidance. The current experimental study examined the effects of two different discussion representation tools (social and cognitive diagrams) on students' discussion behaviors. The social diagram emphasized…

The group work test is an assessment strategy that promotes higher-order thinking skills for solving context-rich problems. With this format, teachers are able to pose challenging, nuanced questions on a test, while providing the support weaker students need to get started and show their understanding. The test begins with a group discussion…

The construction of multi-link causal reasoning chains was investigated in 24 collaborative discussions involving 160 underserved fifth-grade children. The effects of group features and individual characteristics on seven causal chain models were tracked in the discussions. Children's basic English proficiency, talkativeness, and perceived…

To develop and nurture critical thinking, students must have opportunities to observe and practice critical thinking in the classroom. In this parallel mixed method classroom study, we investigate the role of collaborative concept mapping in the development of kindergarten learners' critical thinking skills of analysis and interpretation over a…