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 …

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 …

The Born rule, which describes the formalism for determining probabilities, is one of the most
fundamental postulates in quantum mechanics. This paper presents results from an …

Representations in physics possess both physical and conceptual aspects that are
fundamentally intertwined and can interact to support or hinder sense making and …

Kinesthetic (or embodied) representations help students build intuition and deep
understanding of concepts. This paper presents a series of kinesthetic activities for a spins …

This dissertation deals with the general educational problem of teaching rudiments of
quantum physics to high school students, high school teachers, and non specialist …

Mathematical reasoning with algebraic and geometric representations is essential for
success in upper-division and graduate-level physics courses. Complex algebra requires …

We present a research basis for the development of ACE Physics—a new website that hosts
online tutorials (ie, interactive worksheets) for teaching quantum mechanics. Unlike most …

In this dissertation I explore the Arms representation and activities for teaching quantum
mechanics invented at Oregon State University. In the Arms representation students embody …