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Expressing physics problems in the form of a mathematical model is one of the most important stages in the problem-solving process. Particularly in algebraic symbolization, understanding the meanings of signs and being able to manipulate…

Physics Education · Physics 2018-03-06 Tra Huynh , Eleanor C Sayre

We describe how graduate students categorize introductory mechanics problems based on the similarity of their solutions. Graduate students were asked at the end of a teaching assistant training class to categorize problems from their own…

Physics Education · Physics 2016-02-25 Chandralekha Singh

We examined how introductory physics students' attitudes and approaches to problem solving compare to those of introductory astronomy students, using a previously validated survey, the Attitudes and Approaches to Problem Solving (AAPS)…

Physics Education · Physics 2019-07-03 Melanie Good , Andrew Mason , Chandralekha Singh

We investigated the effects of student-generated problems on exams. The process was gradual with some training throughout the semester. Initial results were highly positive with the students involved performing significantly better, and…

Physics Education · Physics 2016-09-13 Ameya S. Kolarkar , Aimee A. Callender

Even if students can make the blend, interpret physics correctly in mathematical symbology and graphs, they still need to be able to apply that knowledge in productive and coherent ways. As instructors, we can show our solutions to complex…

Physics Education · Physics 2023-05-23 Edward F. Redish

Investigations related to expertise in problem solving and ability to transfer learning from one context to another are important for developing strategies to help students perform more expert-like tasks. Here we analyze written responses…

Physics Education · Physics 2016-02-23 Chandralekha Singh

Many studies have investigated students' epistemological framing when solving physics problems. Framing supports students' problem solving as they decide what knowledge to employ and the necessary steps to solve the problem. Students may…

Physics Education · Physics 2016-10-12 Hai D Nguyen , Deepa N Chari , Eleanor C Sayre

Learning to use math in physics involves combining (blending) our everyday experiences and the conceptual ideas of physics with symbolic mathematical representations. Graphs are one of the best ways to learn to build the blend. They are a…

Physics Education · Physics 2023-03-20 Edward F. Redish

Developing expert-like problem-solving skills is a central goal of undergraduate physics education. In this study, we investigate the impact of teaching explicit problem-solving frameworks, combined with deliberate practice, on students'…

Physics Education · Physics 2025-08-12 Kelly Miller , Olivia Miller , Georgia Lawrence

The ability to categorize problems based upon underlying principles, rather than surface features or contexts, is considered one of several proxy predictors of expertise in problem solving. With inspiration from the classic study by Chi,…

Physics Education · Physics 2016-03-01 Andrew Mason , Chandralekha Singh

In this paper, we discuss the question whether a physical "simplification" of a model makes it always easier to study, at least from a mathematical and numerical point of view. To this end, we give different examples showing that these…

History and Overview · Mathematics 2017-10-18 André Eikmeier , Etienne Emmrich , Eckehard Schöll

Very little is known about how the nature of expertise in introductory and advanced courses compares in knowledge-rich domains such as physics. We develop a framework to compare the similarities and differences between learning and patterns…

Physics Education · Physics 2016-02-18 Chandralekha Singh , Emily Marshman

Drawing appropriate diagrams is a useful problem solving heuristic that can transform a problem into a representation that is easier to exploit for solving it. One major focus while helping introductory physics students learn effective…

Physics Education · Physics 2020-06-29 Alexandru Maries , Chandralekha Singh

Helping students become proficient problem solvers is a major goal of many physics courses from introductory to advanced levels. In fact, physics has often been used by cognitive scientists to investigate the differences between the…

Physics Education · Physics 2023-04-13 Chandralekha Singh , Alexandru Maries , Kenneth Heller , Patricia Heller

Effective physics learning, especially in complex topics, requires balancing mathematical formalism with conceptual understanding. Conceptual problem-solving involves connecting math to physical reality, and using an epistemological…

Physics Education · Physics 2025-11-24 Matteo Tuveri , Andrea Pierfrancesco Sanna , Mariano Cadoni

A primary goal of physics is to create mathematical models that allow both predictions and explanations of physical phenomena. We weave maths extensively into our physics instruction beginning in high school, and the level and complexity of…

Physics Education · Physics 2016-04-12 Edward F. Redish

The study guide (textbook) is part of a set of materials designed to support high-quality practical training in physics. It includes a collection of tasks for organizing both in-class and independent work. The guide serves as a foundation…

The research presented in this thesis was motivated by the need to improve introductory physics courses. Introductory physics courses are generally the first courses in which students learn to create models to solve complex problems.…

Physics Education · Physics 2011-12-26 Marcos D. Caballero

We discuss how a class of difficult kinematic problems can play an important role in an introductory course in stimulating students' reasoning on more complex physical situations. The problems presented here have an elementary analysis once…

Physics Education · Physics 2009-10-31 Oscar Bolina

Problem solving is central to physics instruction. Results from Physics Education Research (PER), however, demonstrate that traditional ways of teaching with problem solving are inefficient and ineffective for promoting true physics…

Physics Education · Physics 2007-05-23 William J. Gerace , Ian D. Beatty