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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

A discrete model of traffic on a multilane road is considered. The traffic is presented as particles movement with a deterministic component and a stochastic one. Formulas for the traffic characteristics have been found. The model can…

Physics and Society · Physics 2007-05-23 A. P. Buslaev , V. M. Prikhodko , A. G. Tatashev , M. V. Yashina

Thermodynamics could be seen as an expression of physics at a high epistemic level. As such, its potential as an inductive bias to help machine learning procedures attain accurate and credible predictions has been recently realized in many…

Machine Learning · Computer Science 2023-05-29 Elias Cueto , Francisco Chinesta

Throughout all years of study, students of physics are confronted with the question 'what exactly is light?' - a question that is impossible to answer correctly and, therefore, continuously discussed within the framework of models. Numerous…

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

Motivated by recent experiments where interference patterns behind a grating are obtained by accumulating single photon events, here we provide an electromagnetic energy flow-line description to explain the emergence of such patterns. We…

Quantum Physics · Physics 2010-03-03 M. Davidovic , A. S. Sanz , D. Arsenovic , M. Bozic , S. Miret-Artes

This work presents a tentative discussion of certain aspects of energy behavior in the context of mathematical fluid dynamics. While some observations are made regarding certain patterns in energy behavior under particular conditions, the…

Analysis of PDEs · Mathematics 2026-04-17 Thomas Ruf

Education is a goal-oriented field. But if we want to treat education scientifically so we can accumulate, evaluate, and refine what we learn, then we must develop a theoretical framework that is strongly rooted in objective observations…

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

Energy concepts are fundamental across the sciences, yet these concepts can be fragmented along disciplinary boundaries, rather than integrated into a coherent whole. To teach physics effectively to biology students, we need to understand…

Physics Education · Physics 2015-05-28 Benjamin W. Dreyfus , Edward F. Redish , Jessica Watkins

We consider here probabilistic models of transportation flows. The main goal of this introduction is rather not to present various techniques for problem solving but to present some intuition to invent adequate and natural models having…

Probability · Mathematics 2011-10-24 V. A. Malyshev , A. A. Zamyatin

Ballistic transport of electrons through a quantum wire with a constriction is studied in terms of Bohm's interpretation of quantum mechanics, in which the concept of a particle orbit is permitted. The classical bouncing ball trajectories,…

Condensed Matter · Physics 2015-06-25 Hua Wu , D. W. L. Sprung

Physics education research has used quantitative modeling techniques to explore learning, affect, and other aspects of physics education. However, these studies have rarely examined the predictive output of the models, instead focusing on…

Physics Education · Physics 2019-05-22 John M. Aiken , Rachel Henderson , Marcos D. Caballero

Data literacy skills are fundamental in computer science education. However, understanding how data-driven systems work represents a paradigm shift from traditional rule-based programming. We conducted a systematic literature review of 84…

Computers and Society · Computer Science 2026-03-31 Robert Whyte , Manni Cheung , Katharine Childs , Jane Waite , Sue Sentance

The indeterministic character of physical laws is generally considered to be the most important consequence of quantum physics. A deterministic point of view, however, together with the possibility of well defined Hamiltonian trajectories,…

Quantum Physics · Physics 2007-05-29 A. Orefice , R. Giovanelli , D. Ditto

We describe an extracurricular learning path on waves focused on energy transfer. The advantages of introducing mechanical waves by using the Shive wave machine and laboratory activities are presented. Laboratories are realized by inquiry,…

Physics Education · Physics 2016-01-08 Vera Montalbano , Simone Di Renzone

In a four dimensional manifold formalism we study the evolutionary behavior as well as the ultimate fate of the universe, in the course of which the contribution of dark energy in these phases are investigated. At one stage we get a…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Koijam Manihar Singh , Gauranga C. Samanta

We report on a multi-year, multi-institution study to investigate student reasoning about energy in the context of quantum tunnelling. We use ungraded surveys, graded examination questions, individual clinical interviews, and…

Physics Education · Physics 2009-11-11 Micael C. Wittmann , Jeffrey T. Morgan , Lei Bao

We introduce and study a deterministic lattice model describing the motion of an infinite system of oppositely charged particles under the action of a constant electric field. As an application this model represents a traffic flow of cars…

Dynamical Systems · Mathematics 2009-11-13 Michael Blank

Traditional methods in educational research often fail to capture the complex and evolving nature of learning processes. This chapter examines the use of complex systems theory in education to address these limitations. The chapter covers…

Computers and Society · Computer Science 2025-02-03 Mohammed Saqr , Daryn Dever , Sonsoles López-Pernas , Christophe Gernigon , Gwen Marchand , Avi Kaplan

In an introductory manner, the nature of dark energy is addressed, how it is observed and what further tests are needed to reconstruct its properties. Several theoretical approaches to dark energy will be discussed.

Astrophysics · Physics 2007-05-23 Paul H. Frampton

It is currently believed that light quantum or the quantization of light energy is beyond classical physics and the picture of wave-particle duality, which was criticized by Einstein but attracted a number of experimental researches, is…

Quantum Physics · Physics 2009-11-11 Wei-Long She
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