Mathematical reasoning with algebraic and geometric representations is essential for success in upperdivision and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations. By designing a task for middle-division physics students to translate a geometric representation to…

Rate of change concepts from calculus are presented and applied rather differently in college mathematics, physics, biology, and chemistry classes. This is not simply a matter of pedagogical style but reflects real cultural differences between these disciplines. We describe the efforts of our interdisciplinary collaboration to understand and…

The COVID-19 pandemic has made conducting in-person research a health risk for interviewers and participants. Near the start of the pandemic, many universities pivoted to emergency remote teaching where courses were delivered remotely in observance of safety guidelines. The safety guidelines also necessitated that research be done remotely. We…

This study analyzes the analogies used in the teaching of introductory quantum theory concepts. Over twelve weeks, the researcher observed each class for a semester and conducted interviews with the students and the instructor. In the interviews, students answered questions about quantum theory concepts, which the instructor had taught them using…

This paper is the first part of a multiphase study examining students' mental models about the quantization of physical observables--light, energy, and angular momentum. Thirty-one second-year physics and physics education college students who were taking a modern physics course participated in the study. The qualitative analysis of data revealed…

One aim of school science instruction is to help students become adaptive problem solvers. Though successful at structuring novice problem solving, step-by-step problem-solving frameworks may also constrain students' thinking. This study utilises a paradigm established by Heckler [(2010). Some consequences of prompting novice physics students to…

On the basis of responses to written questions administered to more than one thousand introductory chemistry students, we claim that students often rotely apply memorized combustion rules instead of reasoning based on explanatory models for what happens at the molecular level during chemical reactions. In particular, many students argue that…

The lack of knowledge about how to effectively spread and sustain the use of research-based instructional strategies is currently a significant barrier to the improvement of undergraduate physics education. In this paper we address this lack of knowledge by reporting on an interview study of 35 physics faculty, of varying institution types, who…

The problem-solving process is investigated for five groups of students when solving context-rich problems in an introductory physics course included in an engineering programme. Through transcripts of their conversation, the paths in the problem-solving process have been traced and related to a general problem-solving model. All groups exhibit…

As part of an ongoing project to examine student learning in upper-division courses in thermal and statistical physics, we have examined student reasoning about entropy and the second law of thermodynamics. We have examined reasoning in terms of heat transfer, entropy maximization, and statistical treatments of multiplicity and probability. In…

Interactive engagement activities are increasingly common in undergraduate physics teaching. As research efforts move beyond simply showing that interactive engagement pedagogies work towards developing an understanding of "how" they lead to improved learning outcomes, a detailed analysis of the way in which these activities are used in…

Undergraduate students are increasingly being used to support course transformations that incorporate research-based instructional strategies. While such students are typically selected based on strong content knowledge and possible interest in teaching, they often do not have previous pedagogical training. The current training models make use of…

Students in first-year physics courses generally focus on hunting for suitable equations and formulas when tackling a variety of physical situations and physics problems. There is a need for a framework that can guide them to disciplinary ways of thinking and help them begin to think like physicists. To serve this end, in this study, a framework…

We investigated the effect of modeling and visualization resources on upper-division, undergraduate and graduate students' performance on an open-ended assessment of their understanding of physical hydrology. The students were enrolled in one of five sections of a physical hydrology course. In two of the sections, students completed homework…

This exploratory study applied a proposed force and motion learning progression (LP) to high-school and university students and to content involving both one- and two-dimensional force and motion situations. The Force Concept Inventory (FCI) was adapted, based on a previous content analysis and coding of the questions in the FCI in terms of the…