Internationally, questions about the perceived utility of university mathematics for teaching
school mathematics pose an ongoing challenge for secondary mathematics teacher …

The discrepancy between school and academic mathematics as well as the resulting
problems for secondary mathematics teachers' content knowledge (CK) have been well …

Calculus courses have been attracting the attention of mathematics education researchers
over the last decades. Recent publications and special issues dedicated to calculus …

“Transition” from one state to another (eg, from childhood to adulthood) is a process of
change. Within an educational context change happens everywhere (or at least it should do …

Abstract In the United States and elsewhere, prospective teachers of secondary
mathematics are usually required to complete numerous advanced mathematics courses …

Prospective teachers often perceive a “double discontinuity” between school mathematics
and university mathematics. The first discontinuity can be described as the belief that there is …

Felix Klein's notion of “double discontinuity” between university mathematics and secondary
school mathematics has persisted in mathematics teacher education. Situating this study in …

Abstract Mathematics teacher education programs in the United States are charged with
preparing prospective secondary teachers (PSTs) to teach reasoning and proving across …

Despite the importance of reasoning and proving in mathematics and mathematics
education, little is known about how future teachers become proficient in integrating …

The aim of the article is to discuss how university mathematics courses can become more
relevant for pre-service teachers (PSTs). We therefore introduce a concept we call …