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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

Quantum theory is often regarded as challenging to learn and teach, with advanced mathematical prerequisites ranging from complex numbers and probability theory to matrix multiplication, vector space algebra and symbolic manipulation within…

It is well-known that introductory physics students often have alternative conceptions that are inconsistent with established physical principles and concepts. Invoking alternative conceptions in quantitative problem-solving process can…

Physics Education · Physics 2016-02-19 Shih-Yin Lin , Chandralekha Singh

Nowadays, modeling exercises on software development objects are conducted in higher education institutions for information technology. Not only are there many defects such as missing elements in the models created by learners during the…

Software Engineering · Computer Science 2025-08-07 Yuta Saito , Takehiro Kokubu , Takafumi Tanaka , Atsuo Hazeyama , Hiroaki Hashiura

Graphs are essential representations in the professions and education concerning the science, technology, engineering, and mathematics (STEM) disciplines. Beyond their academic relevance, graphs find extensive utility in everyday scenarios,…

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

The Test of Understanding Graphs in Kinematics (TUG-K) is a multiple choice test developed by Beichner to assess students' understanding of kinematics graphs. Many of the items on the TUG-K have strong distractor choices which correspond to…

Physics Education · Physics 2016-01-19 Alexandru Maries , Chandralekha Singh

In this paper we put forth a model for physics course reform that uniquely uses proven, research-based active learning strategies to help students improve their physics knowledge and problem-solving skills. In this study, we compared the…

Physics Education · Physics 2020-04-22 Colin S. Wallace , Edward E. Prather , John A. Milsom , Ken Johns , Srin Manne

The objectives of physics laboratory courses include fostering conceptual understanding and development of several important cognitive, psycho-motor, attitudinal and affective abilities. In most of the Indian colleges and universities (and…

Physics Education · Physics 2013-11-26 Rajesh B. Khaparde

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

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

Drawable electronics attract the attention of both educators and innovative circuit engineers due to their affordability and simplicity. This paper focuses on active learning activities related to conducting lines and presents extensible…

Physics Education · Physics 2021-07-29 Petar Damjanović , Vladimir Veljić , Aleksandra Alorić

Mastering problem solving requires students to not only understand and apply physics concepts but also employ mathematics and mathematical representations (sketches, diagrams, graphs, gestures, equations and spoken language) skillfully. As…

Physics Education · Physics 2017-10-13 Nandana Weliweriya , Tra Huynh , Eleanor C Sayre

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

Diagrammatic, analogical or iconic representations are often contrasted with linguistic or logical representations, in which the shape of the symbols is arbitrary. The aim of this paper is to make a case for the usefulness of diagrams in…

Computation and Language · Computer Science 2007-05-23 Catherine Recanati

Studying for physics exams can be difficult and stressful, especially during a student's introductory year in physics. For students who do not plan to major in physics, the desire to do well is based less on understanding concepts and more…

Physics Education · Physics 2020-12-22 Rahul Jilakara , David P. Waters

Doing mathematics implies three levels of manipulation: manipulating the abstract, manipulating symbols and manipulating logic. Teaching mathematics therefore involves the teacher proposing situations in which pupils can explore a small…

History and Overview · Mathematics 2023-07-06 Gilles Aldon

Students of visualization come to formal education with an abundance of personal experience. However, one's exposure to graphics through media and education may not be sufficiently diverse to appreciate the nuance and complexity required to…

Human-Computer Interaction · Computer Science 2020-10-09 Amy Rae Fox , Taylor Jackson Scott

An important goal of graduate physics core courses is to help students develop expertise in problem solving and improve their reasoning and meta-cognitive skills. We explore the conceptual difficulties of physics graduate students by…

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

Incorporating computer programming exercises into introductory physics is a delicate task that involves a number of choices that may have an effect on student learning. We present a "hybrid" approach that speaks to a number of common…

Physics Education · Physics 2018-11-14 Chris Orban , Richelle M. Teeling-Smith , Joseph R. H. Smith , Chris D. Porter