In our investigation of university students' knowledge about real numbers in relation to computer algebra systems (CAS) and how it could be developed in view of their future activity as teachers, we used a computer algorithm as a case to explore the relationship between CAS and the knowledge of real numbers as decimal representations. Our work was…

This paper draws on a recent study of teaching experiments in a Danish gymnasium (upper secondary school) context. The aim of the study was to afford students time to devise creative solutions to specific problems in each subject area. For the purposes of the study, abductive reasoning, applied to ordinary subjects in the classroom in a high…

The focus is on the metacognitive awareness of ten high-achieving high school pupils from Denmark and England and their cognitive learning process. Un-structured interviews in smaller groups investigates how they say they learn a mathematical concept that is new to them. I develop the "CULTIS model for analysis" (Consciousness,…