Barlow et al. (2018) discussed three types of mistakes worthy of inspection: procedural errors, inappropriate solution processes, and misconceptions. Here, the authors focus on procedural errors, as these often led the teachers in their professional development project to limit their inspection of mistakes to correcting. Despite this narrow focus,…

That the manifestation of cheating varies between disciplines is rarely discussed, an unspoken assumption being that assessment takes the form of written prose supported by a bibliography. Students and academics from disciplines, such as mathematics, not fitting this model can feel that their work is regarded as an aberration. 'Plagiarism' is not…

In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.

This study assessed the effectiveness of a spatialized mathematics intervention on the mathematical performance and spatial visualization skills of students from an underprivileged Indonesian community. Grade 8 students (N = 407) were assigned to one of twelve experimental classes, receiving the spatial mathematics intervention, or one of seven…

Background: Teachers must have the skills to find, select, design and use technology-based mathematical activities that focus on high-level cognitive demands--supporting student reasoning. However, they experience various difficulties in creating, planning and making decisions about how and when to utilize technological affordances. Objectives:…

This study analyzed the variation in teachers' mathematical educational values between distance and traditional face-to-face teaching. Enabled by the unique circumstances of the COVID-19 pandemic, the research explored the impact of remote teaching on primary and secondary mathematics education in Hong Kong. An online survey, completed by 109…

In this case study, the researcher examines how three elementary teachers, all certified by their school district in culturally responsive teaching (CRT) through professional development (PD) opportunities, implement CRT in mathematics. The study was designed to understand 1) the CRT certification process and structures that were intended to…

When students engage with a digital tool to tackle a mathematical task, the interplay between their digital competencies and mathematical abilities gives rise to what is termed mathematical digital competency (MDC). Recognising the significance of MDC as an integral component for contemporary students, the relevance of cultivating mathematical…

We outline the structure of a term-long graduate course on teaching undergraduate mathematics. We analyze reflections written by the graduate students participating in the course to understand how they experienced the course and how the course impacted their beliefs about teaching. We find that students enjoy the course and find it to be useful.…

Escape the Math Room is a fun, interactive, sequence of puzzles designed to encourage mathematical collaboration, team work, and ingenuity. Using advanced mathematical topics in an accessible way, Escape the Math Room appropriately challenges students ranging from high school to advanced undergraduate. The activity can be adjusted by adding or…

The retention of fundamental mathematical skills is imperative to provide a foundation on which new skills are developed. Educators often lament about student retention. Cognitive scientists and educators have explored teaching methods that produce learning which endures over time. We wanted to know if using spaced recall quizzes would prevent our…

Mathematics is a subject that is extensively used in real-life situations, but it has been found to be a difficult subject to master. Accordingly, mathematics anxiety has been found to be highly prevalent in students' lives, whereby learning styles have been underlined as one of the factors that may impact attainment of mathematics skills. This…

The present educational intervention study focused on addressing some areas of improvement in the teaching and learning of trigonometric ratios in high school students. A diagnostic evaluation was performed that revealed an instrumental understanding of trigonometric concepts by the students. Subsequently, a didactic sequence was implemented that…

The aim of this qualitative study was to explore the thoughts of primary and secondary prospective mathematics teachers about educating mathematically gifted students. For this purpose, this research was conducted with 40 prospective mathematics teachers, 17 of whom were secondary mathematics prospective teachers, and 23 were primary mathematics…

On the surface, the number line may seem like a basic tool with obvious applications. However, using a number line is not always intuitive for students. Students may not recognize significant features such as the size of the unit, how units are represented by iterated equal lengths, or that the accumulation of iterated units is a magnitude of…