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

The interest in producing this book arose out of a concern for the education of graduate
students and young researchers in mathematics education. A few years ago, as a result of …

In this article, the author, who has written extensively about mathematical problem solving
over the past 40 years, discusses some of his current thinking about the nature of problem …

For the purpose of our research we define Advanced Mathematical Knowledge (AMK) as
knowledge of the subject matter acquired during undergraduate studies at colleges or …

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

In academic teacher education, preservice teachers may develop complex views on their
chosen scientific discipline of study, as a tension may exist between a purely academic …

RINA ZAZKIS, AMI MAMOLO extension of Shulman's (1986) classical categorizations of
Pedagogical Content Knowledge (PCK) and Subject Matter Knowledge (SMK). The oval …

We describe and analyze three episodes from mathematics classrooms. In each case, the
teacher was confronted by a “contingent” situation that they had not anticipated or planned …

This article explores the potential for aspects of abstract algebra to be influential for the
teaching of school algebra (and early algebra). Using national standards for analysis, four …

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