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This paper examines the transformative role of Large Language Models (LLMs) in education and their potential as learning tools, despite their inherent risks and limitations. The authors propose seven approaches for utilizing AI in…

Computers and Society · Computer Science 2023-06-21 Ethan Mollick , Lilach Mollick

Physics makes powerful use of mathematics, yet the way this use is made is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive structure. But…

Physics Education · Physics 2010-02-03 Edward F. Redish , Ayush Gupta

The widespread availability of generative artificial intelligence tools poses new challenges for school mathematics education, particularly regarding the formative role of traditional mathematical tasks. In post-AI educational contexts,…

History and Overview · Mathematics 2026-02-11 Felix De la Cruz Serrano

Mathematics is a critical part of much scientific research. Physics in particular weaves math extensively into its instruction beginning in high school. Despite much research on the learning of both physics and math, the problem of how to…

Physics Education · Physics 2015-06-22 Edward F. Redish , Eric Kuo

In the era of m-Learning, it is found that educational institutions have onus of incorporating the latest technological innovations that can be accepted and understood widely. While investigating the important theme of fast-paced…

Computers and Society · Computer Science 2015-12-01 Muasaad Alrasheedi , Luiz Fernando Capretz

When we teach physics to prospective scientists and engineers we are teaching more than the "facts" of physics - more, even, than the methods and concepts of physics. We are introducing them to a complex culture - a mode of thinking and the…

Physics Education · Physics 2015-05-19 Edward F. Redish

We consider the issue of multiple agents learning to communicate through reinforcement learning within partially observable environments, with a focus on information asymmetry in the second part of our work. We provide a review of the…

Machine Learning · Computer Science 2019-11-14 Mohamed Salah Zaïem , Etienne Bennequin

Math is constructed by people for people: just as natural language corpora reflect not just propositions but the communicative goals of language users, the math data that models are trained on reflects not just idealized mathematical…

Artificial Intelligence · Computer Science 2024-11-01 Sasha Boguraev , Ben Lipkin , Leonie Weissweiler , Kyle Mahowald

Across languages, numeral systems vary widely in how they construct and combine numbers. While humans consistently learn to navigate this diversity, large language models (LLMs) struggle with linguistic-mathematical puzzles involving…

Computation and Language · Computer Science 2025-10-16 Antara Raaghavi Bhattacharya , Isabel Papadimitriou , Kathryn Davidson , David Alvarez-Melis

This is an essay that considering the knowledge structure and language of a different nature, attempts to build on an explanation of the object of study and characteristics of the mathematical science. We end up with a learning cycle of…

History and Overview · Mathematics 2007-05-25 Javier Guachalla H

The evolution of grammatical systems of syntactic and semantic composition is modeled here with a novel application of reinforcement learning theory. To test the functionalist thesis that speakers' expressive purposes shape their language,…

Computation and Language · Computer Science 2025-03-04 Stephen Wechsler , James W. Shearer , Katrin Erk

How do we know if communication is emerging in a multi-agent system? The vast majority of recent papers on emergent communication show that adding a communication channel leads to an increase in reward or task success. This is a useful…

Machine Learning · Computer Science 2019-03-14 Ryan Lowe , Jakob Foerster , Y-Lan Boureau , Joelle Pineau , Yann Dauphin

Empathy is central to human connection, yet people often struggle to express it effectively. In blinded evaluations, large language models (LLMs) generate responses that are often judged more empathic than human-written ones. Yet when a…

Computation and Language · Computer Science 2026-03-17 Aakriti Kumar , Nalin Poungpeth , Diyi Yang , Bruce Lambert , Matthew Groh

The ability to pick up on language signals in an ongoing interaction is crucial for future machine learning models to collaborate and interact with humans naturally. In this paper, we present an initial study that evaluates intra-episodic…

Computer Vision and Pattern Recognition · Computer Science 2023-05-23 Philipp Sadler , Sherzod Hakimov , David Schlangen

Our interdisciplinary team Mathematics for Applications in Cultural Heritage (MACH) aims to use mathematical research for the benefit of the arts and humanities. Our ultimate goal is to create user-friendly software toolkits for artists,…

Explanations have gained an increasing level of interest in the AI and Machine Learning (ML) communities in order to improve model transparency and allow users to form a mental model of a trained ML model. However, explanations can go…

Machine Learning · Computer Science 2022-10-11 Stefano Teso , Öznur Alkan , Wolfang Stammer , Elizabeth Daly

This paper discusses several linear algebra activities designed to help enhance students' skills in collaborating, exploring mathematics, and linking together abstract and visual ways of approaching mathematics. Most of these activities are…

History and Overview · Mathematics 2024-02-16 Shintaro Fushida-Hardy , Pranav Nuti , Megan Selbach-Allen

The resources compiled in this document provide an approach to embed and teach Ethics in Mathematics at the undergraduate level. We provide mathematical exercises and homework problems that teach students ethical awareness and transferable…

History and Overview · Mathematics 2025-07-09 Maurice Chiodo , Dennis Müller , Rehan Shah

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

The use of computer-based mathematics tools is widespread in learning. Depending on the way that these tools assess the learner's solution paths, one can distinguish between automatic assessment tools and semi-automatic assessment tools.…

Computers and Society · Computer Science 2012-07-11 Paul Libbrecht , Sandra Rebholz , Daniel Herding , Wolfgang Müller , Felix Tscheulin
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