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We investigate introductory physics students' difficulties in translating between mathematical and graphical representations and the effect of scaffolding on students' performance. We gave a typical problem that can be solved using Gauss's…

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

We show that the static friction force which must be overcome to render a sticking contact sliding is reduced if an external torque is also exerted. As a test system we study a planar disk lying on horizontal flat surface. We perform…

Materials Science · Physics 2007-05-23 Silvio R. Dahmen , Zeno Farkas , Haye Hinrichsen , Dietrich E. Wolf

Covariational reasoning -- reasoning about how changes in one quantity relate to changes in another quantity -- has been examined extensively in mathematics education research. Little research has been done, however, on covariational…

Reinforcement learning is applied to the development of control strategies in order to reduce skin friction drag in a fully developed turbulent channel flow at a low Reynolds number. Motivated by the so-called opposition control (Choi et…

Fluid Dynamics · Physics 2023-04-26 Takahiro Sonoda , Zhuchen Liu , Toshitaka Itoh , Yosuke Hasegawa

Amontons' law states that the maximum static friction force on a solid object is proportional to the loading force and is independent of the apparent contact area. This law indicates that the static friction coefficient does not depend on…

Materials Science · Physics 2023-02-14 Wataru Iwashita , Hiroshi Matsukawa , Michio Otsuki

Frictional interfaces are abundant in natural and manmade systems and their dynamics still pose challenges of fundamental and technological importance. A recent extensive compilation of multiple-source experimental data has revealed that…

Materials Science · Physics 2015-01-20 Yohai Bar-Sinai , Robert Spatschek , Efim A. Brener , Eran Bouchbinder

Contrastive learning is a popular form of self-supervised learning that encourages augmentations (views) of the same input to have more similar representations compared to augmentations of different inputs. Recent attempts to theoretically…

Machine Learning · Computer Science 2022-03-01 Nikunj Saunshi , Jordan Ash , Surbhi Goel , Dipendra Misra , Cyril Zhang , Sanjeev Arora , Sham Kakade , Akshay Krishnamurthy

Understanding physical phenomena is a key competence that enables humans and animals to act and interact under uncertain perception in previously unseen environments containing novel objects and their configurations. In this work, we…

Robotics · Computer Science 2019-04-23 Wenbin Li , Aleš Leonardis , Jeannette Bohg , Mario Fritz

Highly successful students, as measured by grades and by scores on the Force Concept Inventory, still struggle with fundamental concepts in mathematics and physics. These difficulties, which turn physics into parrot learning and include…

Physics Education · Physics 2007-05-23 Sanjoy Mahajan

We address previous hypotheses about possible factors influencing the gender gap in attainment in physics. Specifically, previous studies claim that male advantage may arise from multiple-choice style questions, and that scaffolding may…

Physics Education · Physics 2017-04-26 Hillary Dawkins , Holly Hedgeland , Sally Jordan

This study numerically investigated the friction of viscoelastic objects with grooves. A 3D viscoelastic block with grooves on a rigid substrate is slowly pushed from the lateral side under uniform pressure on the top surface. The local…

Materials Science · Physics 2024-01-19 Wataru Iwashita , Hiroshi Matsukawa , Michio Otsuki

Assessments are usually thought of as ways for instructors to get information from students. In this work, we flip this perspective and explore how assessments communicate information to students. Specifically, we consider how assessments…

Physics Education · Physics 2020-07-15 Kelli Shar , Rosemary S. Russ , James T. Laverty

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

A microscopic theory for the ubiquitous phenomenon of static friction is presented. Interactions between two surfaces are modeled by an energy penalty that increases exponentially with the degree of surface overlap. The resulting static…

Materials Science · Physics 2009-10-31 M. H. Müser , L. Wenning , M. O. Robbins

Symbolic equations are one of the many representations used in physics. Understanding these representations is important for students because they are how students access knowledge in physics. In this paper I build off of the work by Redish…

Physics Education · Physics 2016-06-08 Eugene T. Torigoe

Questions of participant understanding of the nature of an activity have been addressed in anthropology and sociolinguistics with the concepts of frames and framing. For example, a student may frame a learning activity as an opportunity for…

Physics Education · Physics 2007-12-04 Rachel E. Scherr , David Hammer

Traditional high-stakes summative assessments--timed, in-class exams accounting for a large percentage of the term's overall grade--have often received criticism from the educational community. Such assessments tend to prize a particular…

Physics Education · Physics 2023-04-12 Bruce A. Schumm , Joy Ishii , Colin G. West

Analogy is a central faculty of human intelligence, enabling abstract patterns discovered in one domain to be applied to another. Despite its central role in cognition, the mechanisms by which Transformers acquire and implement analogical…

Artificial Intelligence · Computer Science 2026-05-28 Gouki Minegishi , Jingyuan Feng , Hiroki Furuta , Takeshi Kojima , Yusuke Iwasawa , Yutaka Matsuo

We investigated the common difficulties that students have with concepts related to rotational and rolling motion covered in the introductory physics courses. We compared the performance of calculus- and algebra-based introductory physics…

Physics Education · Physics 2007-05-23 Lorenzo G. Rimoldini , Chandralekha Singh

Perturbation theory, simulations and scaling arguments predict that there should be no static friction for two weakly interacting flat atomically smooth clean solid surfaces. The absence of static friction results from the fact that the…

Materials Science · Physics 2007-05-23 J. B. Sokoloff