For years there has been an acknowledged interest in having students assess the rationality of their solutions to physics problems. In fact, many textbooks now routinely include end-of-problem assessments as part of the authors' detailed solutions to examples. Over the past two decades, I have experimented with various forms of end-of-problem…

We discuss classroom activity comprised of small groups of students collaboratively tinkering with programs of dynamically manipulable figural models, posing problems regarding their mathematical properties and behaviors. We analyzed data from students' discourse taken from two classroom interventions employing a framework of creative mathematical…

Elementary and middle school prospective teachers participated in semi-structured problem posing for integer addition and subtraction. The prospective teachers (n = 98) posed a variety of different stories, but this paper focuses on the temperature stories they posed. Results include descriptions of their posed temperature stories through the lens…

Modelling competencies are currently included in numerous curricula worldwide and are generally accepted as a complex, process-oriented construct. Therefore, effective measurement should include multiple dimensions, like the sub-competencies required throughout the modelling process. Departing from the characteristics of modelling problems as open…

Ninety-seven children aged 4-11 (49 males, 48 females, mostly White) were given the opportunity to improve their problem-solving performance by devising and implementing a novel cognitive offloading strategy. Across two phases, they searched for hidden rewards using maps that were either aligned or misaligned with the search space. In the second…

Undergraduate students' choices and success in their career and life is influenced by their mathematics achievement and perception of themselves in life. Conceptual understanding of topics in undergraduate mathematics such as quantitative reasoning can be difficult for students with less sophisticated multiplicative reasoning than others. This…

Pre-service teachers need creative thinking and problem solving skills to support their teaching quality. The aims of this research: (1) problems in science teaching, creative thinking and problem solving skills of pre-service teachers; (2) improvements of creative thinking and problem solving skills of pre-service teachers through Ethno-SETSaR…

This study aimed to investigate the specialized content knowledge of pre-service primary school teachers about multiplication through problem posing and the justification for the accuracy of the multiplication of a two-digit number and a single-digit number. The research questions were formulated based on the theoretical framework of Ball and her…

Many studies have investigated students' problem-posing activities. However, there has not been a strong focus on affective aspects in mathematical problem-posing. Also, students' understanding of the function concept whilst generating functions has not previously been investigated. This paper investigated students' misconceptions of the function…

Time is intrinsic in all forms of education. A growing body of educational research has begun examining time as something more than a context within which teaching and learning happen. While much of the existing research has tended to focus on either 'objective' clock time or 'subjective' time as experienced by individual teachers or students,…

Toddlers' sleep difficulties have mainly been investigated from the mother's point of view, despite the fact that paternal implication seems to influence young children's sleep quality. This qualitative study aims to better understand how fathers experience toddlers' sleep difficulties by examining their sleep-related cognitions and strategies…

Drawing bar diagrams has been shown to improve performance on mathematical word problems wherein the relational keyword is consistent with the required arithmetic operation. This study extends this by testing the effectiveness of bar diagram drawing for word problems with an inconsistent keyword-arithmetic operation mapping. Seventy-five fifth…

This paper aims to explore the challenges that pre-service early childhood teachers (PECTs) face in the processes of planning and implementing STEM education-based activities and their solutions about these challenges. A total of 39 third-year pre-service teachers in Istanbul, Turkey, participated in the study, which lasted 14 weeks. The data were…

The goal of this study was to examine the effect of engaging students in socially engaged art (SEA) education to create 3D virtual worlds for fostering creative problem-solving (CPS) skills. The study was conducted with 135 students (aged 16) of boys' high school in Korea who participated in the SEA program through four stages: Stage 1-…

Semantic is associated with the relationship between symbol, reference, and the problem's context involved in the problem-solving process which also involves reasoning and decision-making. Hence, this study describes the characteristics of students' semantic reasoning to solve the double discounts problem. 51 high school students in Sidoarjo…