Self-explanation, a learning strategy where students explain to themselves the steps taken in a worked example, is an effective learning strategy in early cognitive skill acquisition. However, many physics students produce self-explanations of low quality. There is also a lack of guidelines for what students should seek to explain when studying…

Motivated by the benefits of repeated deliberate practice, we created an interactive exercise system for use in an undergraduate engineering mechanics class that focuses on practicing learned fundamental concepts. These exercises take the form of traditional word problems commonly found in mechanics courses, involving things like selecting and…

Diagrams are ubiquitous in physics, especially in physics education and physics problem solving. Physics problem solvers may generate diagrams to orient to a scenario, to organize information, to directly obtain an answer, or as a tool of communication. In this study, we asked 19 undergraduate and graduate physics majors to answer 18…

In a typical first physics class, homework consists of problems in which numerical values for physical quantities are given and the desired answer is a number with appropriate units. In contrast, most calculations in upper-division undergraduate physics are entirely symbolic. Despite the need to learn symbolic manipulation, students are often…

A major goal of physics education is to develop strong problem-solving skills for students. To become expert problem solvers, students must have opportunities to deliberately practice those skills. In this work, we adopt a previously described definition of problem solving that consists of a set of 29 decisions made by expert scientists. We…

Students and educators often face time constraints, making it essential to develop interventions that are both easy to implement and have a substantial impact on learning and performance. One promising strategy is retrieval practice, particularly in the context of physics education, where many students struggle with basic knowledge. Prior research…

Physics experts and students commonly use a variety of representations when working with partial derivatives, including symbols, graphs, and words. One especially powerful representation is the contour graph. In open-ended problem-solving interviews with nine upper-division physics students, we asked students to determine derivatives from contour…

Over the course of the introductory calculus-based physics course, students are often expected to build conceptual understanding and develop and refine skills in problem solving and qualitative inferential reasoning. Many of the research-based materials developed over the past 30 years by the physics education research community use sequences of…

We investigate students' eye movements when they solve sequential and simultaneous synthesis physics problems. In sequential synthesis problems, multiple events occur chronologically, whereas in simultaneous synthesis problems, multiple events take place concurrently. We captured students' eye fixations on each problem diagram and recorded their…

This dissertation investigates the complexities associated with developing expertise in physics problem-solving and the methods for measuring and assessing the skills involved. Problem-solving skills are critical in today's rapidly changing world, and thus, it is important to emphasize them in education. However, lacking precise methods for…

We report an educational tool for the upper level undergraduate quantum chemistry or quantum physics course that uses a symbolic approach via the PySyComp Python library. The tool covers both time-independent and time-dependent quantum chemistry, with the latter rarely considered in the foundations course due to topic complexity. We use quantized…

We discuss an investigation of student sensemaking and reasoning in the context of degenerate perturbation theory (DPT) in quantum mechanics. We find that advanced undergraduate and graduate students in quantum physics courses often struggled with expertlike sensemaking and reasoning to solve DPT problems. The sensemaking and reasoning were…

Electricity and magnetism are fundamental areas of physics and are integral to science curricula at various educational levels. However, this area has been reported to contain several concepts that students find challenging, leading to perspectives that diverge from scientifically accepted views. This study examines the errors made by physics…

This study investigates the relationship between study methods and exam performance in introductory physics courses. Data were collected over 3 years through surveys to examine students' study habits, perceived effectiveness of techniques, and the correlation between time allocation and exam grades. Results indicate that high-achieving students…

Reform documents advocate for innovative pedagogical strategies to enhance student learning. A key innovation is the integration of science and engineering practices through engineering design (ED)-based physics laboratory tasks, where students tackle engineering design problems by applying physics principles. While this approach has its benefits,…