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One finding of cognitive research is that people do not automatically acquire usable knowledge by spending lots of time on task. Because students' knowledge hierarchy is more fragmented, "knowledge chunks" are smaller than those of experts.…

Physics Education · Physics 2016-02-23 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

Understanding issues involved in expertise in physics problem solving is important for helping students become good problem solvers. In part 1 of this article, we summarize the research on problem-solving relevant for physics education…

Physics Education · Physics 2023-05-30 Alexandru Maries , Chandralekha Singh

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…

If students are to successfully grapple with authentic, complex biological problems as scientists and citizens, they need practice solving such problems during their undergraduate years. Physics education researchers have investigated…

Physics Education · Physics 2013-02-26 Anne-Marie Hoskinson , Marcos D. Caballero , Jennifer K. Knight

The large number of published articles in physics journals under the title "Comments on ..." and "Reply to ..." is indicative that the conceptual understanding of physical phenomena is very elusive and hard to grasp even to experts, but it…

General Physics · Physics 2011-11-18 Sergio Rojas

Scientists who study how the brain solves problems have recently verified that, because of stringent limitations in working memory, where the brain solves problems, students must apply facts and algorithms that have previously been well…

Physics Education · Physics 2021-02-17 JudithAnn R. Hartman , Eric A. Nelson

Students must learn effective problem solving strategies in order to develop expertise in physics. Effective problem solving strategies include a conceptual analysis of the problem followed by planning of the solution, and then…

Physics Education · Physics 2016-05-03 Andrew J. Mason , Chandralekha Singh

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

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

Equations are about more than computing physical quantities or constructing formal models; they are also about understanding. The conceptual systems physicists use to think about nature are made from many different resources, formal and…

Physics Education · Physics 2018-04-06 Mark Eichenlaub , Edward F. Redish

Large Language Models (LLMs) have achieved remarkable progress on advanced reasoning tasks such as mathematics and coding competitions. Meanwhile, physics, despite being both reasoning-intensive and essential to real-world understanding,…

Computation and Language · Computer Science 2025-10-20 Shenghe Zheng , Qianjia Cheng , Junchi Yao , Mengsong Wu , Haonan He , Ning Ding , Yu Cheng , Shuyue Hu , Lei Bai , Dongzhan Zhou , Ganqu Cui , Peng Ye

We are investigating cognitive issues in learning quantum mechanics in order to develop effective teaching and learning tools. The analysis of cognitive issues is particularly important for bridging the gap between the quantitative and…

Physics Education · Physics 2016-02-19 Chandralekha Singh , Guangtian Zhu

The ability to categorize problems based upon underlying principles, rather than contexts, is considered a hallmark of expertise in physics problem solving. With inspiration from a classic study by Chi, Feltovich, and Glaser, we compared…

Physics Education · Physics 2016-02-26 Andrew Mason , Chandralekha Singh

Learning to create, use, and evaluate models is a central element of becoming a scientist. In physics, we often begin an analysis of a complex system with highly simplified or toy models. In introductory physics classes, we tend to use them…

Physics Education · Physics 2022-08-17 Edward F. Redish

Even though there has been a tremendous amount of research done in how to help students learn physics, students are still coming away missing a crucial piece of the puzzle: why bother with physics? Students learn fundamental laws and how to…

Physics Education · Physics 2009-11-13 Gintaras Duda , Katherine Garrett

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

Mathematics is an essential element of physics problem solving, but experts often fail to appreciate exactly how they use it. Math may be the language of science, but math-in-physics is a distinct dialect of that language. Physicists tend…

Physics Education · Physics 2007-05-23 Edward F. Redish

Helping students learn to think like a physicist is an important goal of many introductory physics courses. One characteristic distinguishing more experienced physicists from novice students is that they make better use of problem solving…

Physics Education · Physics 2016-02-24 Andrew Mason , Edit Yerushalmi , Elisheva Cohen , Chandralekha Singh
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