With the development of qualitative methodologies, interviewing has become one of the
main tools in mathematics education research. As the first step in analyzing interviewing in …

This study explores the attempts of a group of preservice elementary school teachers to
generalize a repeating visual number pattern. We discuss students' emergent algebraic …

The learning and teaching of algebra has always been a fundamental and vibrant stream of
the research carried out within the PME community–from the 1st PME conference in 1977 to …

Over the last two decades, researchers have shown increased interest in problem posing in
mathematics professional development. In the context of teaching mathematics, problem …

Increasingly, the mathematical subject knowledge required of teachers is described as lists
of facts, skills and competencies. This listing appears unproblematic given the apparently …

In this article we investigate how preservice elementary school (K–7) teachers understand
the concept of prime numbers. We describe participants' understanding of primes and …

The dominant focus on generalizing in the development of algebraic thinking has to a large
extent obscured the process of seeing structure. While generalization-oriented activity …

Some current interpretations of abstraction in mathematical settings are examined from
different perspectives, including history and learning. It is argued that abstraction is a …

Lesson play is a novel construct in research and teachers' professional development in
mathematics education. Lesson play refers to a lesson or part of a lesson presented in …

This study investigates procedural and conceptual aspects in preservice elementary school
teacher's understanding of the Fundamental Theorem of Arithmetic. The data were collected …