Opportunities to closely monitor and evaluate students' mathematical thinking enables accurate interpretations of their conceptual understanding. This methodological paper reports on a novel and versatile analysis approach to extract student thinking during mathematical games through the generation of Dynamic Learning Artefacts (DLAs).…

In-service primary school teachers' professional development and, more specifically, their teacher agency, are analyzed regarding the integration of mathematical education and sustainability. To achieve this, based on semi-structured interviews, several questions involving Education for Sustainable Development (ESD) and links between mathematics…

Our field is brimming with insights into how children learn mathematics. Yet, much of this treasure fails to reach a group that holds significant influence over children's learning: parents. While most parents want their child to succeed in the subject, many do not know how to help, or are so wounded from their own mathematics education that they…

Research on teachers' noticing of student mathematical thinking has typically focused on how a teacher attends to, interprets, and determines a response to an individual student contribution in isolation from the broader mathematical classroom context. This research focus is not nuanced enough, however, to fully account for the complex noticing…

Collaboration between Mathematicians and Mathematics Educators is crucial in advancing knowledge on the teaching and learning of Mathematics, particularly in advanced Mathematics pedagogy. However, there is a need for the type of collaborations where Mathematicians and Mathematics Educators can find common ground, and the synergy of their…

The short activity presented in this article continues a discussion related to the value of golden ratio explorations in secondary mathematics, and acts as a companion to the earlier paper in this journal (Crawley, 2023). Exploring meaningful ways in which teachers can elicit students' interest and engagement in mathematics is vital, and…

This study reviewed papers in the Web of Science database from 2010 to 2020, which were relevant to the integration of the dynamic geometric software, GeoGebra, into mathematics education with a focus on publication trends, research methods, participants, application domains, learning strategies, and research issues. It was found that there have…

Various studies have highlighted the important influence of math ability in a numerate society. In this study, we investigated the influence of emotional (math anxiety and math enjoyment) and cognitive-motivational (math self-efficacy) factors on math performance. Participants were 145 fifth-grade students (84 boys and 61 girls). The results…

Diagrams and in general the use of visualization and manipulative material play an important role in mathematics teaching and learning processes. Although several authors warn that mathematics objects should be distinguished from their possible material representations, the relations between these objects are still conflictive both from an…

This study investigated two undergraduate mathematics students' meanings for derivatives of univariable and multivariable functions when creating linear approximations. Both participants completed multivariable calculus at least two semesters prior to participating in a sequence of four to five exploratory teaching interviews. One purpose of the…

Optimization is introduced to teaching in secondary school, focussing on functions of one variable with the first derivative criterion for critical points and monotonicity of functions. The second derivative criterion is also used to determine the nature of the critical points. Similarly, in university-level teaching, algebraic work using criteria…

Mathematical "magic," or experiences of beauty and creativity for K-12 mathematics students, can contribute to deepened content understanding. However, creating opportunities for mathematical "magic" in mathematics classrooms has been a challenge for classroom practitioners. To support development of these experiences in…

While the importance of collaborative problem-solving has been highlighted as an important skill by the OECD (Organisation for Economic Co-operation and Development), no specific model exists for mathematics facilitators to implement when engaging their students in group problem-solving. In this paper, we introduce the CoPs model for Collaborative…

Curriculum materials are not a fixed object; they are an active partner in a teacher's practice. Teachers and curriculum materials interact in a participatory relationship where both the characteristics of the teacher and the characteristics of the curriculum material affect the instruction. Teachers interpret and tailor these materials to create…

The development of professional digital competencies is an important condition for a meaningful integration of digital technologies in mathematics education. A widely used and empirically studied approach for the professional development of in-service teachers are teacher design teams, in which lessons are collaboratively planned, implemented and…