For decades, a global trend in mathematics curriculum development has placed greater emphasis on learning goals that seek to capture different kinds of processes that students should master. For Danish primary and secondary mathematics education, these ambitions are expressed in terms of a set of mathematical competencies, in line with the so-called KOM framework. However, it has proved challenging to implement the competencies in mathematics classrooms and actual teaching practice. Matematrix is a series of Danish mathematics textbooks for grades K-9 designed to support mathematics teachers in facing this challenge. Following a short introduction to the KOM framework, I – as one of the designers and authors of the textbooks – present a key element in this endeavour: A three-dimensional model of content and objectives combining mathematical competencies, mathematical core concepts and grade levels. I then describe the use of this model in the specific case of Matematrix at three different levels of textbook design: The structure of the general content of the books, the focal points for each chapter, and the development of different kinds of tasks for the students to work with.

This study explores how mentor teachers in specialized teaching areas, particularly chemistry, interact in an Online Professional Development (OPD) program. The Mentor Teacher Professional Development (MeT-PD) program was designed to improve mentoring practices by creating opportunities for collaborative learning through various online activities, such as Individual Response (IR), Interactive Individual Response (IIR), Small Group Discussions (SGD), and Large Group Discussions (LGD). Using a qualitative case study approach, the research analyzed data collected from Zoom recordings and Nearpod activity logs. The findings indicate that while LGDs were useful for interactions between facilitators and learners, they were not as effective in fostering interaction among learners themselves, mainly due to the cognitive demands and how these discussions were structured. On the other hand, SGDs seemed to foster stronger participant interaction, probably because the smaller group settings led to more valuable exchanges. These findings highlight the need of thoughtful planning of OPD activities, with particular focus on group size management and selection of suitable discussion formats to improve both interaction and learning outcomes.