Whether one engages in truth-seeking and whether he or she is open-minded are indicative of his or her critical behavior when responding to problems at hand. This research sought to determine the behavioural tendencies of pre-service mathematics teachers in the solution of non-routine problems based on the indicators of truth-seeking and…

This paper reports on a study aiming to develop theory and improve practice within an Engineering Education context. The focus is on the development of students' graduate-level work skills during Higher Education programmes and a specific practice example provided an ideal study opportunity. Engaged Scholarship, a research approach from Management…

The purpose of this study was to explore students' approaches to problem identification and the effects of these approaches on problem identification, problem solving, and divergent thinking. Eighth and ninth grade students (N = 90) responded to semi-structured interview prompts while completing a creative problem-solving task (i.e., Creative…

This chapter focuses on the development of concepts that children draw on as they work toward understanding negative numbers. Framed from a conceptual change lens, I discuss different interpretations children have of minus signs, numerical order, numerical values, and addition and subtraction operations and how children draw on these varied…

Literature on learning trajectories is reviewed, and challenges in developing designs to support responsive instruction are highlighted. A distinctive form of design called a "multi-dimensional instructional framework" is introduced. These frameworks span key dimensions of mathematisation, such as notating and distancing the setting,…

This paper reports on an investigation of the student interaction and group development of a four-student group during collaborative mathematics problem solving. Video and written transcript of the group interaction were analysed. The group problem solving has been described by the flow of negotiative events in terms of topics discussed within the…

In this study, the middle school mathematics teachers' knowledge of division of fractions was investigated through the strategies that they proposed and the problems that they posed for division of fractions. The data was collected from 22 middle school mathematics teachers through the task and semi-structured interviews. The data of this case…

Situational complexity is the distinction between simple, technically complicated, socially complicated, and complex situations. Programs that operate in simple situations are usually able to follow a prescribed course of action, or recipe, while programs operating in more complicated or complex situations must be flexible and responsive. In this…

To improve students' mathematics achievement, their errors should be treated as an opportunity to stimulate conceptual and procedural understanding. Using a teaching scenario, this study investigated 40 high school teachers' analyses of and responses to a student error(s) in solving a quadratic equation by using the factoring method. The teachers'…

Traditional definitions and assessments of creativity often neglect to identify the complexity surrounding Black students' brilliance, leading to lack of access and funding. Further, even when recognized, Black students are often funneled into programs that do not facilitate positive development of their racial-ethnic identity. Through our…

One of the challenges that science teachers face is the lack of strategy/method to train students in data collection and developing analytical skills, which are pre-requisites to resolve socio-scientific problems and an important element in scientific literacy. In this activity, the SWOT analysis proposed by the Stanford Research Institute in the…

First-year elementary pre-service teachers usually conduct field observations but are barely offered opportunities to engage in well-structured teaching situations. In the current study, we implemented mixed-reality simulations (MRS) in a mathematics methods course to improve elementary pre-service teacher's abilities to elicit, question, and…

In this reflective methodological paper we focus on affordances and challenges of video data. We compare and analyze two research settings that use the latest video technology to capture classroom interactions in mathematics education, namely, The Social Unit of Learning (SUL) project of the University of Melbourne and the MathTrack project of the…

Mathematics learning is illustrated as a developmental progression in the direction of concrete-to-abstract by educational theorists. Various studies rooted in this notion were conducted in the past. This study aimed to profile the landscape of research rooted in this notion which was published from 1968 to 2021. The bibliographic data of 425…

Preparing students to collaborate with AI remains a challenging goal. As AI technologies are new to K-12 schools, there is a lack of studies that inform how to design learning when AI is introduced as a collaborative learning agent to classrooms. The present study, therefore, aimed to explore teachers' perspectives on what: (1) curriculum design,…