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Many undergraduate students of engineering and the exact sciences have difficulty with their mathematics courses due to insufficient proficiency in what we in this paper have termed clear thinking. We believe that this lack of proficiency…

History and Overview · Mathematics 2017-09-06 Arieh Lev , Gil Kaplan

This letter employs differential game theory to address the defense problem of a circular target area with perception constraints, involving a single defender and a single attacker. The defender is restricted to moving along the perimeter,…

Optimization and Control · Mathematics 2025-09-16 Xinyi Zhu , Jiali Wang , Yang Tang , Fangfei Li , Yan Zhu

Diffusion, a fundamental internal mechanism emerging in many physical processes, describes the interaction among different objects. In many learning tasks with limited training samples, the diffusion connects the labeled and unlabeled data…

Machine Learning · Computer Science 2023-05-02 Tangjun Wang , Zehao Dou , Chenglong Bao , Zuoqiang Shi

Continuous and discrete game-theoretic models of dispersed material drying process are formalized and studied in the paper. The existence of optimal drying strategies is shown through application of results from the theory of differential…

Optimization and Control · Mathematics 2017-06-01 Oleg Malafeyev , Denis Rylow , Irina Zaitseva , Lydia Novozhilova

Uncertainty is ubiquitous in games, both in the agents playing games and often in the games themselves. Working with uncertainty is therefore an important component of successful deep reinforcement learning agents. While there has been…

Machine Learning · Computer Science 2022-08-22 Owen Lockwood , Mei Si

Classrooms are becoming increasingly heterogeneous, comprising learners with diverse performance and motivation levels, language proficiencies, and learning differences such as dyslexia and ADHD. While teachers recognize the need for…

Human-Computer Interaction · Computer Science 2026-05-25 Jana Gonnermann-Müller , Jennifer Haase , Nicolas Leins , Moritz Igel , Konstantin Fackeldey , Sebastian Pokutta

The physics learning is very important to techniques teaching and the engineers upbringing. However, there is evidence that science classes from elementary school through to university are generally failing to provide most students with an…

Physics Education · Physics 2016-06-02 Jose Enrique Martinez-Perez

Deep learning has revolutionized many areas of machine learning, from computer vision to natural language processing, but these high-performance models are generally "black box." Explaining such models would improve transparency and trust…

Machine Learning · Computer Science 2023-05-18 Daniel Lundstrom , Meisam Razaviyayn

The ability to categorize problems based upon underlying principles, rather than contexts, is considered a hallmark of expertise in physics problem solving. With inspiration from a classic study by Chi, Feltovich, and Glaser, we compared…

Physics Education · Physics 2016-02-26 Andrew Mason , Chandralekha Singh

A java-based graphical tool for drawing Feynman diagrams is presented. It differs from similar existing tools in various respects. For example, it is based on models, consisting of particles (lines) and (optionally) vertices, each of which…

Physics Education · Physics 2020-08-26 R. V. Harlander , S. Y. Klein , M. Lipp

Covariational reasoning--considering how changes in one quantity affect another, related quantity--is a foundation of quantitative modeling in physics. Understanding quantitative models is a learning objective of introductory physics…

Physics Education · Physics 2023-10-12 Alexis Olsho , Charlotte Zimmerman , Suzanne White Brahmia

In this work, I present an automatic system for the evaluation of closed-type exercises in physics at the high school level or in the first year of a degree where physics is a mandatory course. It is expected that this will allow students…

Physics Education · Physics 2023-02-17 Juan Jose. Jimenez-Torres

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

The question of the definition of what is an algorithm is recurrent. It is found in teaching, at different levels and particularly in secondary education because of the recent evolutions in high school, with immediate consequences in higher…

Data Structures and Algorithms · Computer Science 2024-12-17 Emmanuel Beffara

It has been shown that the emotional state of students has an important relationship with learning; for instance, engaged concentration is positively correlated with learning. This paper proposes the Inductive Control (IC) for educational…

Human-Computer Interaction · Computer Science 2018-04-17 Carlos Lara-Alvarez , Hugo Mitre-Hernandez , Juan Flores , Maria Fuentes

The self-supervised objective of masking-and-predicting has led to promising performance gains on a variety of downstream tasks. However, while most approaches randomly mask tokens, there is strong intuition that deciding what to mask can…

The purpose of this paper is to show the magic of physics by showing the physics of magic. What usually makes magic tricks interesting is that something unexpected occurs. Similarly, demonstrations are interesting inasmuch as they produce…

Physics Education · Physics 2007-05-23 Nathaniel Lasry , Pierre-Osias Christin

Humans tend to learn complex abstract concepts faster if examples are presented in a structured manner. For instance, when learning how to play a board game, usually one of the first concepts learned is how the game ends, i.e. the actions…

Machine Learning · Computer Science 2019-06-11 Joseph West , Frederic Maire , Cameron Browne , Simon Denman

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

Children tend to be constantly exposed to technologies, such as smartphones, tablets, and gaming consoles, drawn by the interactive and visually stimulating nature of digital platforms. Thus, integrating the teaching process with…

Human-Computer Interaction · Computer Science 2025-03-21 Everson Borges da Rosa , Michel Albonico , Paulo Juunior Varela