In more and more countries, the goal of mathematics education is to develop students' mathematical competence beyond procedural and conceptual knowledge. Thus, students need to engage in a rich variety of tasks comprising competencies such as communication, reasoning and problem-solving. In addition, assessment tasks should be constructed to…

Educators often hear about the need for students to be more creative, more free-thinking, and more exploratory throughout projects and class assignments. This article will highlight the importance of creating and implementing an open-classroom environment where students are confident in their ability to ask questions and capable of exploring a…

Current understanding of the development of quantity representations is based primarily on performance in the number-line task. We posit that the data from number-line tasks reflect the observer's underlying representation of quantity, together with the cognitive strategies and skills required to equate line length and quantity. Here, we specify a…

The increasing interest in cultivating the entrepreneurial mindset among engineering students necessitates a shared language around what this looks like in terms of attitudes and behaviors, and frameworks provide this. A framework was developed to characterize the entrepreneurial mindset in light of the Kern Family Foundation's 3C's: curiosity,…

This study aimed to enhance understanding of team creativity by investigating the type of team mental models that team members develop during their work on a creative problem solving task. We hypothesized that teams that develop dissimilar team mental models, compared to similar and complementary team mental models, will achieve a higher…

Accounts of practice within the action learning literature tend to omit the more mundane session-to-session details of the inner-workings of the action learning set. As well as concentrating on the problem, individuals in all sets spend some of their time in unproductive interpersonal exchanges. These exchanges may be considered trivialities and…

Metacognition is linked to academic achievement and personal development, especially as it relates to leadership education. The current study investigated the impact of a course in metacognition. Two hundred and fifty one undergraduates were surveyed for metacognitive ability using the Metacognitive Awareness Inventory (MAI) and Metacognitive…

Comprehending a mathematical modelling task is a central prerequisite for the following modelling process. In this study, we investigated the roles that the language proficiency of the students and the linguistic wording of the task play for the comprehension and the successful solving of mathematical modelling tasks. Five mathematical tasks with…

The aim of this study is to explore feedback practices and how such actions of assessment emerge from embodied participation in classroom interactions between teachers and students. Using video recordings of teacher and student interactions in hairdressing education, I look at how feedback practices within creative subject content are produced…

This article focuses on one common type of many different classroom discussions, open-strategy sharing (OSS), because it offers a starting point for teachers new to mathematical discussions. The goal of an OSS discussion is to explore multiple possible ways to solve a single mathematical task. Students share strategies, listen to others'…

It is critical for mathematics tasks to provide students with the opportunity to engage actively in reasoning, sense making, and problem solving so that they develop a deep understanding of mathematics. Learning mathematics while solving a problem can be like entering a dark room with a single small light. The objects are in the shadows, difficult…

This research reports on the effectiveness of Polya Problem-Solving and Target-Task collaborative learning approaches in electricity amongst high school physics students. It also includes a gender focus. It was an experimental research with a pre-test post-test control group design. The experimental groups were exposed to Polya Problem-Solving…

The article deals with the development of collaborative problem-solving (CPS) abilities of pre-service science teachers using the following stepwise problem-solving (SPS) strategies: (1) identification (this stage presupposes identification of fundamental problems), (2) solution (this stage in essence involves implementation) and (3) checking…

Since the beginning of the twenty-first century, the concept of competence has been introduced as a new paradigm in several educational systems. It reflects the need of educational systems to respond to societal and economic changes, i.e. the transition from industrial- to information-based societies. In contrast to earlier educational goals that…

Gestures are associated with powerful forms of mathematical understanding. However, determining the causative role of gestures has been more elusive. In the present study, we inhibit students' gestures by restraining their hands, and examine how this impacts their problem-solving when presented with geometric conjectures to prove. We find no…