In this article, we consider the phenomenon of improvisation by small groups of middle years students while engaged in rich mathematical tasks in a classroom setting. Working from the premise that improvisation comprises a spectrum of behaviour, we propose that there is a range of improvisational behaviours that may be observed as the students…

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…

The 3-Step Charrette problem-solving methodology turns the classroom into a consulting firm. It trains participants to solve complex, real-world problems cooperatively and systematically. Participants identify needed information and perform several research cycles in teams to gain knowledge to examine the root causes of a presented problem.…

We discuss two proof evaluation activities meant to promote the acquisition of learning behaviors of professional mathematics within an introductory undergraduate proof-writing course. These learning behaviors include the ability to read and discuss mathematics critically, reach a consensus on correctness and clarity as a group, and verbalize what…

This study investigated the factors that are directly and indirectly related to collaborative problem-solving skills of students in Türkiye with multiple and multilevel mediation models, according to PISA 2015 results. The PISA 2015 Türkiye sample consisted of 5895 students. After missing data assignment and outlier analysis, the analyses were…

Design thinking has become an important process in many fields to encourage innovation toward problem solving skills in various fields. In the field of education, design thinking has been incorporated into curriculums as it contributes both to higher order thinking skills and to the learning process with its flexible and dynamic nature. However,…

This article explores: (1) the barriers facing students and teachers regarding this type of assessment, and (2) a proposed framework for overcoming these barriers. In this study, the barriers and corresponding assessment techniques were determined by interviewing a sample of 17 students and five teachers. The main barrier reported by the students…

Research into technological problem solving has shown it to exist in a range of forms and draw upon different processes and knowledge types. This paper adds to this understanding by identifying procedural and epistemic differences in relation to task performance for pupils solving a well-defined technological problem. The study is theoretically…

This study investigated the effects of integrating a university's core value messages into the curriculum of a basic communication course on student recall of the messages, adjustment to college, and learning. A quasi-experimental design was used to examine differences between students (n = 302) assigned to one of three conditions: control group,…

This article aims to illustrate how the collective resolution of routine mathematical tasks can give rise to uncertainties, fostering and supporting a rich and authentic mathematical activity. While solving routine tasks may not typically be classified as problem-solving, the research presented in this paper shows that, at the collective level,…

This investigation explored collaborative problem solving with and without a coach by analyzing problem-solving (PS) and problem-solving-prompting (PSP) behaviors by group members and coaches in six total coached rehearsals with three collegiate string quartets, and six autonomous rehearsals with the same string quartets. Teachers' and learners'…

This paper investigates students' mathematical modeling activity in data-rich modeling tasks. It aims at gaining insight into how students develop meaning when modeling data-rich situations and the mathematical models produced. A tendency to model a particular dataset, rather than the phenomenon that the dataset is a particular instance of, has…

Escape rooms are becoming prevalent in their use as a form of playful learning and gamification in higher education, often used for a multitude of purposes to enhance students' higher education learning experiences. Whilst studies have reported their valuable uses in a range of contexts, they have often focussed on undergraduates and fewer have…

Escape rooms are making their way into the chemistry classroom as a learning tool. However, escape rooms require a large amount of preparation and setup, and they are only novel and exciting for a single play-through. For escape room games to be incorporated into multiple class periods, they must be streamlined for reuse. In this work, I introduce…

Metacognition supports students in successfully working through struggle by equipping them with the tools to maintain an awareness of what they are doing and to change directions when needed to overcome obstacles. Thus, it is of little surprise that effective problem solvers spend a significant amount of time analyzing tasks relative to the amount…