Inspired by the entering of computer algebra systems (CAS) in the Danish upper secondary school mathematics program, this article addresses, from a theoretical stance, what may happen when traditional procedures are outsourced to CAS. Looking at the commands "solve" and "desolve," it is asked what happens when such CAS…

This article addresses one way in which decades of mathematics education research results can inform practice, by offering a framework for designing and implementing an in-service teacher education programme for upper secondary mathematics teachers in Denmark. The programme aims to educate a "task force" of so-called "maths…

The paper reports on the introduction of the graphics calculator into three centralised examination systems, which were located in Denmark, Victoria (Australia) and the International Baccalaureate. The introduction of the graphics calculator required those responsible for writing examination questions to consider how to assess mathematical skills…

This article discusses an empirical study on the use of history as a goal. A historical module is designed and implemented in a Danish upper secondary class in order to study the students' capabilities at engaging in meta-issue discussions and reflections on mathematics and its history. Based on videos of the implementation, students' hand-in…

Presents perspectives from students and teachers about project work in mathematics. Presents a theoretical framework consisting of problem-centered studies, interdisciplinarity, participant-directed studies, and the exemplarity principle. Contrasts theoretical conceptions with practice. (MKR)

Illustrates aspects of a reflective mathematics education using a project for 14- and 15-year olds. Argues for organizing mathematics education to develop different types of knowing: mathematical skills and concepts; technological competence in applications and mathematical model building; and reflective evaluations of consequences. (53…

The negotiation of meaning presupposes a taken-to-be-shared understanding of a situation. Uses an example to illustrate how negotiation of meaning and task may be linked in ways inappropriate to the learning of modeling and critical reflections. Contains 16 references. (Author/ASK)

The focus is on the metacognitive awareness of ten high-achieving high school pupils in mathematics in Denmark and England and their understanding of their cognitive learning processes and strategies. Mainly unstructured focus group interviews investigate how they explain that they learn a mathematical concept that is new to them. I develop the…