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One attribute of experts is that they are likely to learn from their own mistakes. Experts are unlikely to make the same mistakes when asked to solve a problem a second time, especially if they had access to a correct solution. Here, we…

Physics Education · Physics 2016-01-08 Benjamin Brown , Andrew Mason , Chandralekha Singh

Studying worked examples has been shown by extensive research to be an effective method for learning to solve well-structured problems in physics and mathematics. The effectiveness of learning with worked examples has been demonstrated and…

Physics Education · Physics 2023-07-13 Philipp Scheiger , Ronny Nawrodt , Holger Cartarius

We discuss first experiences with a new variant of self-assessment in higher mathematics education. In our setting, the students of the course have to mark a part of their homework assignments themselves and they receive the corresponding…

History and Overview · Mathematics 2020-05-26 Sarah Beumann , Sven-Ake Wegner

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

In this note we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task-design that gives students the opportunity to conjecture, refute and prove. What is…

History and Overview · Mathematics 2020-05-26 Thomas Pawlaschyk , Sven-Ake Wegner

An appropriate diagram is a required element of a solution building process in physics problem solving and it can transform a given problem into a representation that is easier to exploit for solving the problem. A major focus while helping…

Physics Education · Physics 2020-07-02 Alexandru Maries , Chandralekha Singh

Introductory physics instruction emphasizes fluency with routine problem-solving procedures. However, even when applying these procedures, students frequently encounter challenges. This paper investigates how students navigate such moments…

Physics Education · Physics 2026-02-12 Katherine Gifford , Gabriel S. Ehrlich , Engin Bumbacher , Eric Kuo

Holography as a subject is neglected largely in current physics lessons and in school books. Even though this topic might be complex, it is applicable and viable in the world that we live in. Holography lends itself to further develop…

Physics Education · Physics 2007-05-23 Martin Erik Horn , Helmut F. Mikelskis

A close look at students' written work on examinations offers a wealth of information about their performance, their knowledge of the subject, their strengths, weaknesses and misconceptions, and their overall level of mathematical skills…

History and Overview · Mathematics 2013-05-23 Radoslav M. Dimitrić

Changing basis is a common task when solving quantum mechanical problems. As part of a research project investigating student understanding of basis and change of basis in quantum mechanics, we developed a tutorial to support students in…

Physics Education · Physics 2023-04-26 Giaco Corsiglia , Steven Pollock , Bethany Wilcox

Many students in upper-division physics courses struggle with the mathematically sophisticated tools and techniques that are required for advanced physics content. We have developed an analytical framework to assist instructors and…

Physics Education · Physics 2014-10-16 Bethany R. Wilcox , Marcos D. Caballero , Daniel A. Rehn , Steven J. Pollock

Experimental activities are an essential part of physics education. In addition to conveying scientific knowledge, they play a significant role in developing scientific literacy, inquiry skills, and critical thinking. In today's world,…

Physics Education · Physics 2025-12-10 Miriam Spodniaková Pfefferová , Martin Plesch

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…

Development of conceptual multiple-choice tests related to a particular physics topic is important for designing research-based learning tools to reduce the difficulties. We explore the difficulties that the advanced undergraduate and…

Physics Education · Physics 2016-02-22 Chandralekha Singh , Guangtian Zhu

Computational physics is a key part of what it means to do physics in the twenty-first century. However, upper division computational physics remains a largely understudied area. We set out to understand the experiences of students in an…

Physics Education · Physics 2026-03-13 Luke Nearhood , Patti Hamerski

The rapid advancement of technology and science education demands innovative approaches to develop students' critical and creative thinking skills. However, there is limited systematic evidence about the effectiveness of different physics…

Physics Education · Physics 2026-01-15 Serli Ahzari , Asrizal , Usmeldi

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

Physics Education · Physics 2016-01-22 Alexandru Maries , Chandralekha Singh

Helping students learn from their own mistakes can help them develop habits of mind while learning physics content. Based upon cognitive apprenticeship model, we asked students to self-diagnose their mistakes and learn from reflecting on…

Physics Education · Physics 2016-03-11 Andrew Mason , Elisheva Cohen , Chandralekha Singh , Edit Yerushalmi

Computational thinking has been a recent focus of education research within the sciences. However, there is a dearth of scholarly literature on how best to teach and to assess this topic, especially in disciplinary science courses. Physics…

Physics Education · Physics 2021-05-18 Daniel P. Weller , Theodore E. Bott , Marcos D. Caballero , Paul W. Irving

Developing expertise in physics requires appropriate integration and assimilation of physics and mathematics. Instructors and students often describe physics courses in terms of their emphasis on conceptual and quantitative problem-solving.…

Physics Education · Physics 2025-12-11 Apekshya Ghimire , Chandralekha Singh