This is a theoretical article proposing a way of organizing and structuring the discussion of
why and how to use the history of mathematics in the teaching and learning of mathematics …

In this article I present some results from a 5-year longitudinal investigation with young
students about the genesis of embodied, non-symbolic algebraic thinking and its …

Cultural-historical activity theory—with historical roots in dialectical materialism and the
social psychology to which it has given rise—has experienced exponential growth in its …

Several years ago, I had the opportunity to conduct longitudinal research in four Junior High-
School classes about the teaching and learning of algebra. The timing was just perfect: the …

Pattern generalization is considered one of the prominent routes for introducing students to
algebra. However, not all generalizations are algebraic. In the use of pattern generalization …

In this article, I introduce a typology of forms of algebraic thinking. In the first part, I argue that
the form and generality of algebraic thinking are characterised by the mathematical problem …

This second edition of the Handbook of International Research in Mathematics Education is
intended for those interested in international developments and future directions in …

We identify and document 3 cognitive obstacles, 3 cognitive affordances, and 1 type of
integer understanding that can function as either an obstacle or affordance for learners while …

This paper reviews the research literature with respect to the contributions to the students'
difficulties in their algebra learning in order to understand the students' difficulties in algebra …

In this article I present some findings of an ongoing 5-year longitudinal research program
with young students. The chief goal of the research program is a careful and systematic …