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Quantum mechanics is challenging even for advanced undergraduate and graduate students. Dirac notation is a convenient notation used extensively in quantum mechanics. We have been investigating the difficulties that the advanced…

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

University students taking introductory physics are generally successful executing mathematical procedures in context, but often struggle with the use of mathematical concepts for sense making. Physics instructors note that their students…

Physics Education · Physics 2016-07-19 S. Brahmia , A. Boudreaux , S. E. Kanim

This resource letter intends to provide middle school science teachers with a collection of resources to aid them in planning and implementing a physical science curriculum. The resources are in the form of books, websites, journals, and…

Physics Education · Physics 2025-05-29 Zosia A. C. Krusberg

The classic brachistrochrone problem is standard material in intermediate mechanics. Many variations exist including some accessible to introductory students. While a quantitative solution isn't feasible in introductory classes, qualitative…

Physics Education · Physics 2021-11-10 John A. Milsom

[Taken from the "README" in the book] My goal with this book is to provide some kind of bridge for mathematics between the high-school-level and college-level for physics students. From my perspective, our job as physicists is to observe…

Physics Education · Physics 2018-05-31 William J. Meese

We investigate upper-division student difficulties with direct integration in multiple contexts involving the calculation of a potential from a continuous distribution (e.g., mass, charge, or current). Integration is a tool that has been…

Physics Education · Physics 2020-02-20 Bethany R. Wilcox , Giaco Corsiglia

Researchers in physics education have advocated both for including modeling in science classrooms as well as promoting student engagement with sensemaking. These two processes facilitate the generation of new knowledge by connecting to…

Physics Education · Physics 2023-01-31 Amogh Sirnoorkar , James T. Laverty , Paul D. O. Bergeron

We explore the difficulties that advanced undergraduate and graduate students have with non-relativistic quantum mechanics of a single particle in one spatial dimension. To investigate these difficulties we developed a conceptual survey and…

Physics Education · Physics 2016-02-18 Guangtian Zhu , Chandralekha Singh

Background: Despite the potential benefits of software modelling, developers have shown a considerable reluctance towards its application. There is substantial existing research studying industrial use and technical challenges of modelling.…

Software Engineering · Computer Science 2023-01-05 Shalini Chakraborty , Grischa Liebel

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

Learning advanced physics, in general, is challenging not only due to the increased mathematical sophistication but also because one must continue to build on all of the prior knowledge acquired at the introductory and intermediate levels.…

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

How students use mathematics in their physics classes has been studied extensively in the physics education literature. In addition to specific mathematical methods in specific physics contexts, possible effects of more general "cultural"…

Physics Education · Physics 2024-09-05 Jeffrey M. Rabin , Andrew Meyertholen , Brian Shotwell

Several thoughts are presented on the long ongoing difficulties both students and academics face related to Calculus 101. Some of these thoughts may have a more general interest.

General Mathematics · Mathematics 2007-05-23 Elemer E. Rosinger

In this note, we derive bounds on the median bias of univariate M-estimators under mild regularity conditions. These requirements are not sufficient to imply convergence in distribution of the M-estimators. We also discuss median bias of…

Statistics Theory · Mathematics 2021-06-02 Arun Kumar Kuchibhotla

Interpretability provides a toolset for understanding how and why neural networks behave in certain ways. However, there is little unity in the field: most studies employ ad-hoc evaluations and do not share theoretical foundations, making…

Our research aims at better understanding what makes a text difficult to read for specific audiences with intellectual disabilities, more specifically, people who have limitations in cognitive functioning, such as reading and understanding…

Computation and Language · Computer Science 2025-01-06 Nouran Khallaf , Carlo Eugeni , Serge Sharoff

This short contribution reports the development of a test for assessing middle school students' physics proficiency via multiple-choice single-select items in German language. The test assesses students' content and procedural knowledge…

Physics Education · Physics 2023-03-17 Markus Sebastian Feser , Dietmar Höttecke

In this paper we describe an activity for engaging students in crafting definitions. We explore the strengths of this particular activity as well as the broader implications of engaging students in crafting definitions more generally.

Physics Education · Physics 2018-08-29 Angela Little , Leslie Atkins Elliott

Students are taught several models of conductivity, both at the introductory and the advanced level. From early macroscopic models of current flow in circuits, through the discussion of microscopic particle descriptions of electrons flowing…

Physics Education · Physics 2009-11-07 Michael C. Wittmann , Richard N. Steinberg , Edward F. Redish

The pervasiveness of online information services has led to substantial changes in higher education including changes in faculty members teaching methods and students study habits. This article presents the results of a survey about media…

Computers and Society · Computer Science 2015-08-04 Gerd Gidion , Luiz Fernando Capretz , Ken N. Meadows , Michael Grosch