Abstract Design research continues to gain prominence as a significant methodology in the
mathematics education research community. This overview summarizes the origins and the …

The article develops the notion of covariational reasoning and proposes a framework for
describing the mental actions involved in applying covariational reasoning when interpreting …

The concept of function is central to undergraduate mathematics, foundational to modern
mathematics, and essential in related areas of the sciences. A strong understanding of the …

This article describes the development of the Precalculus Concept Assessment (PCA)
instrument, a 25-item multiple-choice exam. The reasoning abilities and understandings …

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

In this paper, we develop a review of the research focused on the teaching and learning of
ordinary differential equations with the following three purposes: to get an overview of the …

To improve undergraduate mathematics learning, teachers need to recognize and value
characteristics of classroom learning environments that contribute to powerful student …

Though written accounts of collegiate mathematics teaching exist (eg, mathematicians'
reflections and analyses of learning and teaching in innovative courses), research on …

The purpose of this article is to contribute to the dialogue about the notion of advanced
mathematical thinking by offering an alternative characterization for this idea, namely …

A growing body of literature has identified quantitative and covariational reasoning as critical
for secondary and undergraduate student learning, particularly for topics that require …