In this survey paper, we describe the state of the field on linear algebra research. We
synthesize themes, questions, results, and perspectives emphasized in the papers that …

In this paper, we present a hypothetical learning trajectory (HLT) aimed at supporting
students in develo** flexible ways of reasoning about matrices as linear transformations in …

Background Changing mathematics curricula and their emphases, lower numbers of student
enrolments in undergraduate mathematics programmes (Barton and Sheryn 2009; and …

This paper is about a teaching experiment (TE) with inservice secondary teachers (hereafter
“participants”) in the theory of systems of linear equations. The TE was oriented within …

We conducted a multiyear project across three institutions to develop an instructional tutorial
that supports student understanding of change of basis in quantum mechanics. Building …

Abstract Reasoning with mathematics plays an important role in university students' learning
throughout their courses in the scientific disciplines, such as physics. In addition to …

This paper focuses on the mathematical sensemaking by women of color in the USA as part
of the global effort of dismantling deficit narratives about historically marginalized groups of …

Over the past years we have been involved in a series of studies researching the teaching
and learning of linear algebra at the undergraduate level in the United States. Through work …

The aim of this paper is on the one hand to discuss from an APOS (Action–Process–Object–
Schema) theory perspective the mental constructions involved in the learning of linear …

A common task when problem solving in quantum mechanics, including in a spins-first
curriculum, involves changing the basis of a given state. Our research in undergraduate …