According to our approach to mathematics education, the optimal aim of the teaching of mathematics is to assist students in achieving efficient mathematical work. But, what does efficient exactly mean in that case? And how can teachers reach this objective? The model of Mathematical Working Spaces with its three dimensions--semiotic, instrumental,…

In 1820 the Danish scientist Hans Christian Ørsted discovered the relationship between electricity and magnetism by his famous wire-compass experiment. Ørsted was one of the foremost scientists of the nineteenth century, and he was also one of the leading figures in Denmark in the 19th century with a vital influence in the fields of aesthetics,…

Informal reasoning fallacies are violations of critical discussion norms. As epistemological understanding of knowledge justification appears to underlie the informal reasoning skills of argument construction and evaluation, it was hypothesized that adolescents with greater epistemological sophistication would be more able to identify informal…