This qualitative study aimed to identify the changes in a prospective' conceptions about the nature of mathematical tasks and pedagogy in video cases and to investigate the characteristics of the prospective' professional knowledge and views during task design/modification. The study used the mathematical task demand engagement process, which…

Information problem solving (IPS) is an important twenty-first century skill, but it is lacking at all age levels. One type of information problem, those of an ill-structured nature that require multiple iterations of (re)defining problems and formulating emerging solutions, can be particularly challenging but have received less attention in the…

Representations in chemistry are the tools by which students, instructors, and chemists reason with chemical concepts that are abstract. Although representations are regularly used within the chemistry classroom, there is more to uncover regarding the ways students interact with representations when given chemistry tasks. This study aimed to…

Background and Context: Multiple studies report that experienced instructors lack consensus on the difficulty of programming tasks for novices. However, adequately gauging task difficulty is needed for alignment: to select and structure tasks in order to assess what students can and cannot do. Objective: The aim of this study was to examine…

The purpose of this study is to investigate how students interpret expressions from calculus statements in the graphical register. To this end, I conducted 150-minute clinical interviews with 13 undergraduate mathematics students who had completed at least one calculus course. In the interviews, students evaluated six calculus statements for…

As students gain more experience with design concepts, they should progress from novice to expert design thinkers. The purpose of this research was to identify the constructs of growth in design thinking (DT) over short- (one weekend) and long-term (10 weeks) design challenges. A DT mindset questionnaire was completed by students in a third-year…

The development of proportional reasoning is crucial for higher-level mathematical skills. Various studies have demonstrated that the numerical structures of problems have an impact on the strategies used to solve direct proportional problems. This research was conducted to determine eighth grade students' strategies for solving inverse…

From early in childhood, humans exhibit sophisticated intuitions about how to share knowledge efficiently in simple controlled studies. Yet, untrained adults often fail to teach effectively in real-world situations. Here, we explored what causes adults to struggle in informal pedagogical exchanges. In Experiment 1, we first showed evidence of this…

Internships offer the opportunity to gain experience and skills by working in organisations or to establish a professional network, and there is empirical evidence of the positive effects of practical experience in higher education. However, there are only a few studies on the characteristics of workplace tasks that facilitate learning during…

This paper speaks to translation as a powerful window into students' developing religious literacy practices. It considers how 10- and 11-year-old North American Modern Orthodox Jewish students read and translate the Hebrew Bible refracted through their own cultural and religious expectations: in other words, how students use translation to…

Conjecturing has been considered to inspire the need for proof, enhance the understanding of proofs, and construct a valid proof. This study describes students' processes of formulating a Euclidean geometry conjecture in the form of a conditional statement through constructing a geometric figure and using measuring and dragging modalities of a…

Identity matters in science, technology, engineering, mathematics, and medicine (STEMM) because it can affect an individual's long-term sense of belonging, which may in turn affect their persistence in STEMM. Early K-12 science classes often teach students about the foundational discoveries of the field, which have been predominately made, or at…

The purpose of this study was to investigate the collaborative dialogue patterns of pair programming and their impact on programming self-efficacy and coding performance for both slow- and fast-paced students. Forty-six postgraduate students participated in the study. The students were asked to solve programming problems in pairs; those pairs'…

In this qualitative study, we examined how prospective mathematics teachers' instructional visions align with their instructional practices through an approximation of practice opportunity. Namely, we employed scripting tasks to understand how prospective teachers complete a scripting task and respond to students' misconceptions, and we compared…

The aim of the study was to examine how students generate problems about the concept of series, and how they evaluate and solve these problems. The difficulties experienced by the students while posing problems and their perceptions of the posing-evaluating-solving approach were also explored. In the first stage, 46 second-year university students…