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We use the data of tenured and tenure-track faculty at ten public and private math departments of various tiered rankings in the United States, as a case study to demonstrate the statistical and mathematical relationships among several…

History and Overview · Mathematics 2020-05-25 Victoria Chayes , Dodam Ih , Yukun Yao , Doron Zeilberger , Tianhao Zhang

Nowadays, Machine Learning (ML) is seen as the universal solution to improve the effectiveness of information retrieval (IR) methods. However, while mathematics is a precise and accurate science, it is usually expressed by less accurate and…

Digital Libraries · Computer Science 2020-12-22 André Greiner-Petter , Terry Ruas , Moritz Schubotz , Akiko Aizawa , William Grosky , Bela Gipp

Classroom discourse is a core medium of instruction - analyzing it can provide a window into teaching and learning as well as driving the development of new tools for improving instruction. We introduce the largest dataset of mathematics…

Computation and Language · Computer Science 2023-05-26 Dorottya Demszky , Heather Hill

This paper examines various methods and ideas for humanizing mathematics. The term 'humanizing mathematics' which includes elements of 'aesthetic mathematics' refers to approaches that emphasize the aesthetic, philosophical, and subjective…

History and Overview · Mathematics 2025-01-13 Takao Inoué

Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved…

Machine Learning · Computer Science 2021-04-27 Mengxue Zhang , Zichao Wang , Richard Baraniuk , Andrew Lan

This article deals with peer-assessment in the context of higher education teaching in mathematics, and examines the nature of student activity when assessing work produced by peers. After an overview of research on peer assessment, we…

History and Overview · Mathematics 2023-10-27 Juliette Veuillez--Mainard , Simon Modeste

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

Molecular communication (MC) studies biological signals that are found in nature. Most MC literature focuses on particle properties, even though many natural phenomena exhibit wave-like behavior. One such signal is sound waves.…

Signal Processing · Electrical Eng. & Systems 2025-12-02 Fatih Merdan , Ozgur B. Akan

This perspective paper proposes a series of interactive scenarios that utilize Artificial Intelligence (AI) to enhance classroom teaching, such as dialogue auto-completion, knowledge and style transfer, and assessment of AI-generated…

Artificial Intelligence · Computer Science 2023-06-13 Kehui Tan , Tianqi Pang , Chenyou Fan , Song Yu

In the future, artificial learning agents are likely to become increasingly widespread in our society. They will interact with both other learning agents and humans in a variety of complex settings including social dilemmas. We consider the…

Computer Science and Game Theory · Computer Science 2019-11-21 Tobias Baumann , Thore Graepel , John Shawe-Taylor

To develop computational agents that better communicate using their own emergent language, we endow the agents with an ability to focus their attention on particular concepts in the environment. Humans often understand an object or scene as…

Computation and Language · Computer Science 2023-05-19 Ryokan Ri , Ryo Ueda , Jason Naradowsky

Symbolic calculators like Mathematica are becoming more commonplace among upper level physics students. The presence of such a powerful calculator can couple strongly to the type of mathematical reasoning students employ. It does not merely…

Physics Education · Physics 2009-11-13 Thomas J. Bing , Edward F. Redish

Mathematical modelling and ethics have more touching points than most of us would like to admit. Everyday decisions are often reasoned by mathematical arguments. Mathematics teachers belong to those mathematically literate, who must point…

History and Overview · Mathematics 2023-04-11 András Bátkai

While recent efforts have begun integrating large language models (LLMs) into English education, they often rely on traditional approaches to learning tasks without fully embracing educational methodologies, thus lacking adaptability to…

Computation and Language · Computer Science 2025-09-09 Jingheng Ye , Shen Wang , Deqing Zou , Yibo Yan , Kun Wang , Hai-Tao Zheng , Ruitong Liu , Zenglin Xu , Irwin King , Philip S. Yu , Qingsong Wen

Effectiveness of teaching digital signal processing can be enhanced by reducing lecture time devoted to theory, and increasing emphasis on applications, programming aspects, visualization and intuitive understanding. An integrated approach…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Keshab K. Parhi

Models of message flows in an artificial group of users communicating via the Internet are introduced and investigated using numerical simulations. We assumed that messages possess an emotional character with a positive valence and that the…

Physics and Society · Physics 2010-08-25 Anna Chmiel , Janusz A. Holyst

Large language models (LLMs) have shown significant potential to change how we write, communicate, and create, leading to rapid adoption across society. This dissertation examines how individuals and institutions are adapting to and…

Computation and Language · Computer Science 2025-06-24 Weixin Liang

This article reviews the current state of teaching and learning mathematical modeling in the context of sustainable development goals for education at the tertiary level. While ample research on mathematical modeling education and published…

History and Overview · Mathematics 2023-07-26 N. Karjanto

This overview article highlights the critical role of mathematics in artificial intelligence (AI), emphasizing that mathematics provides tools to better understand and enhance AI systems. Conversely, AI raises new problems and drives the…

Optimization and Control · Mathematics 2025-01-22 Gabriel Peyré

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran
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