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The purpose of this paper is to emphasize the role of language in the process of teaching and learning mathematics. We will begin with the definition of mathematics given by Cassiodorus (in its essential features repeated in Kolmogorov's…

General Mathematics · Mathematics 2018-10-30 Aslanbek Naziev

Quantum mechanics is a field often considered very mathematical, abstract, and unintuitive. One way some instructors are hoping to help familiarize their students with these complex topics is to have the students see quantum effects in…

Physics Education · Physics 2023-10-19 Victoria Borish , H. J. Lewandowski

We commonly think of mathematics as bringing precision to application domains, but its relationship with computer science is more complex. This experience report on the use of Racket and Haskell to teach a required first university CS…

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I explore whether it is possible to make sense of the quantum mechanical description of physical reality by taking the proper subject of physics to be correlation and only correlation, and by separating the problem of understanding the…

Quantum Physics · Physics 2009-10-31 N. David Mermin

In an increasingly data-driven world, facility with statistics is more important than ever for our students. At institutions without a statistician, it often falls to the mathematics faculty to teach statistics courses. This paper presents…

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Elementary particle physics is gradually implemented into science curricula at high school level. However, common presentations on educational, semi-technical or popular level contain or support severe misconceptions. We discuss in…

Physics Education · Physics 2018-11-16 Oliber Passon , Thomas Zügge , Johannes Grebe-Ellis

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

Many science education researchers have argued that learners' commitment to a substance (matter-based) ontology impedes the learning of scientific concepts that scientists typically conceptualize as processes or interactions, such as such…

Physics Education · Physics 2014-12-08 Ayush Gupta , Andrew Elby , Luke D. Conlin

Students in introductory calculus-based physics not only have difficulty understanding the fundamental physical concepts, they often have difficulty relating those concepts to the mathematics they have learned in math courses. This produces…

Physics Education · Physics 2015-06-26 Richard N. Steinberg , Michael C. Wittmann , Edward F. Redish

Aspects of quantum physics are no longer confined to the upper years of a physics degree. Concepts like superposition or entanglement that were once reserved for second- or third-year undergraduate courses now deserve attention earlier in a…

Physics Education · Physics 2026-05-12 James Day , Simone Williamson

Studies in Physics Education Research show that interdisciplinary approaches in education foster students' motivation, creativity, curiosity, and interest in physics. We discuss their features and potential role in bringing contemporary…

Physics Education · Physics 2024-02-15 Matteo Tuveri , Arianna Steri , Daniela Fadda

Formally investigating the sources of students' difficulties around specific subjects is crucial for developing appropriate strategies to help students. We have been studying difficulties in understanding magnetism encountered by students…

Physics Education · Physics 2017-01-09 Chandralekha Singh

The role of mathematical models in physics has for longer been well established. The issue of their proper building and use appears to be less clear. Examples in this regard from relativity and quantum mechanics are mentioned. Comments…

General Physics · Physics 2008-04-08 Elemer E. Rosinger

The ability to read, write, and speak mathematics is critical to students becoming comfortable with statistical models and skills. Faster development of those skills may act as encouragement to further engage with the discipline. Vocabulary…

Other Statistics · Statistics 2025-07-08 Tess O'Brien

Computation is becoming an increasingly important part of physics education. However, there are currently few theories of learning that can be used to help explain and predict the unique challenges and affordances associated with…

Physics Education · Physics 2020-01-01 Tor Ole B. Odden , Elise Lockwood , Marcos D. Caballero

Successful teaching entails a complex interaction between a teacher and a learner. The teacher must select and convey information based on what they think the learner perceives and believes. Teaching always involves misaligned beliefs, but…

Computation and Language · Computer Science 2020-12-17 Theodore R. Sumers , Mark K. Ho , Thomas L. Griffiths

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

Science has traditionally played an important role in sharing knowledge among people. Particle Physics, with its large experiments, has shown that one not only can share the knowledge among different cultures, but that one can also work…

Physics and Society · Physics 2016-08-23 G. Mikenberg

A brief account of some recent controversies about the teaching and learning of physics is presented. A shorter version of this outcome was accepted by The Physics Teacher, but publication is still pending.

Physics Education · Physics 2011-04-06 Sergio Rojas

Although physics has become increasingly computational, with computing even being considered the third pillar of physics, it is still not well integrated into physics education. Research suggests that integrating Computational Thinking (CT)…

Physics Education · Physics 2025-11-06 Mateo Dutra , Álvaro Suárez , Arturo C. Marti