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Making meaning with math in physics requires blending physical conceptual knowledge with mathematical symbology. Students in introductory physics classes often struggle with this, but it is an essential component of learning how to think…

Physics Education · Physics 2023-03-20 Edward F. Redish

Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool for research for as long as research has taken place. We use the term illustration to encompass any way one might bring a mathematical…

History and Overview · Mathematics 2023-12-29 Rémi Coulon , Gabriel Dorfsman-Hopkins , Edmund Harriss , Martin Skrodzki , Katherine E. Stange , Glen Whitney

We attempt to automate various artistic processes by inventing a set of drawing games, analogous to the approach taken by emergent language research in inventing communication games. A critical difference is that drawing games demand much…

Artificial Intelligence · Computer Science 2020-12-11 Chrisantha Fernando , Daria Zenkova , Stanislav Nikolov , Simon Osindero

We extend the theory of disciplinary integration of games for science education beyond the virtual world of games, and identify two key themes of a practice-based theoretical commitment to science learning: (1) materiality in the classroom…

Physics Education · Physics 2016-07-19 Pratim Sengupta , Doug Clark

The understanding of probability can be difficult for a few young scientists. Consequently, this new mathematical symbol, related to binomial coefficients and simplicial polytopic numbers, could be helpful to science education. Moreover,…

General Mathematics · Mathematics 2020-06-05 Claude-Alexandre Simonetti

Physics education research has probed for the relevance of physics in students' everyday lives. Attitudinal and epistemological surveys have asked students if they think of or use physics in their daily lives. We have previously documented…

Physics Education · Physics 2022-07-06 Abhilash Nair , Vashti Sawtelle

The physical meaning of the operators is not reducible to the intrinsic relations of the quantum system, since unitary transformations can find other operators satisfying the exact same relations. The physical meaning is determined…

Quantum Physics · Physics 2025-01-10 Ovidiu Cristinel Stoica

The role of mathematics in physical sciences is discussed, particularly how higher mathematics found applications in empirical problems. Several examples are given to illustrate this role.

History and Overview · Mathematics 2007-05-23 Riazuddin

There are many benefits in providing formal specifications for our software. However, teaching students to do this is not always easy as courses on formal methods are often experienced as dry by students. This paper presents a game called…

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

We present an investigation of game-like simulations for physics teaching. We report on the effectiveness of the interactive simulation "Real Time Relativity" for learning special relativity. We argue that the simulation not only enhances…

Physics Education · Physics 2010-08-19 C. M. Savage , D. McGrath , T. J. McIntyre , M. Wegener , M. Williamson

Learning to use math in physics involves combining (blending) our everyday experiences and the conceptual ideas of physics with symbolic mathematical representations. Graphs are one of the best ways to learn to build the blend. They are a…

Physics Education · Physics 2023-03-20 Edward F. Redish

The essential role played by Chern--Simons terms in a variety of physical models provides yet another illustration of the unexpected but profound interactions between the two disciplines.

Mathematical Physics · Physics 2009-11-19 S. Deser

This short note is devoted to the unraveling of the hidden interactivity of ordinary games which is an artefact of predictions of the behaviour of other players by the fixed player and describes deviations of their real behaviour from such…

Optimization and Control · Mathematics 2007-05-23 Denis V. Juriev

Science education at all levels is currently undergoing dramatic changes to its curricula and developing assessments for these new curricula is paramount. We have used the basis of many of these new changes (scientific practices,…

Physics Education · Physics 2015-10-27 James T. Laverty , Melanie M. Cooper , Marcos D. Caballero

Art can be a powerful tool in science engagement efforts to help facilitate learning and public discourse around space and space exploration. The Art of Planetary Science is an annual exhibition combining science and art which aims to help…

Popular Physics · Physics 2023-09-14 Jamie L. Molaro

Many have wondered how mathematics, which appears to be the result of both human creativity and human discovery, can possibly exhibit the degree of success and seemingly-universal applicability to quantifying the physical world as…

History and Overview · Mathematics 2015-09-01 Kevin H. Knuth

A goal of physics is to understand the greatest possible breadth of natural phenomena in terms of the most economical set of basic concepts. However, as the understanding of physics has developed historically, its pedagogy and language have…

General Physics · Physics 2020-10-21 B. C. Regan

The development of a workshop using the language, techniques, and processes of visual art to introduce particle physics concepts is described. Innovative delivery methods committed to the interaction and collaboration of different…

Physics Education · Physics 2018-08-01 I. Andrews , K. Nikolopoulos

We discuss fun problems, vaguely related to notions and theorems of a course in differential geometry. This paper can be regarded as a weekend "treasure chest" supplementing the course weekday lecture notes. The problems and solutions are…

History and Overview · Mathematics 2019-12-13 Boris Khesin , Serge Tabachnikov
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