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This chapter provides an overview of the different Artificial Intelligence (AI) systems that are being used in contemporary digital tools for Mathematics Education (ME). It is aimed at researchers in AI and Machine Learning (ML), for whom…

Computers and Society · Computer Science 2021-10-22 Steven Van Vaerenbergh , Adrián Pérez-Suay

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

This book provides a comprehensive and accessible introduction to the emerging field of AI for mathematics. It covers the core principles and diverse applications of using artificial intelligence to advance mathematical research. Through…

Artificial Intelligence · Computer Science 2026-04-14 Xiaoyang Chen , Xiaoyang Chen

The integration of AI tools into programming education has become increasingly prevalent in recent years, transforming the way programming is taught and learned. This paper provides a review of the state-of-the-art AI tools available for…

Computers and Society · Computer Science 2025-08-19 Nikolaos Avouris , Kyriakos Sgarbas , George Caridakis , Christos Sintoris

Many mathematicians find mathematics aesthetically beautiful and even comparable to art forms such as music or painting. On the other hand, every year a great number of school students leave mathematics with total disillusionment and…

History and Overview · Mathematics 2022-07-21 Alok Shukla

Mathematics is one of the most powerful conceptual systems developed and used by the human species. Dreams of automated mathematicians have a storied history in artificial intelligence (AI). Rapid progress in AI, particularly propelled by…

Neurons and Cognition · Quantitative Biology 2023-10-23 Cedegao E. Zhang , Katherine M. Collins , Adrian Weller , Joshua B. Tenenbaum

While there has been some discussion on how Symbolic Computation could be used for AI there is little literature on applications in the other direction. However, recent results for quantifier elimination suggest that, given enough example…

Symbolic Computation · Computer Science 2018-11-01 M. England

With the rapid development of artificial intelligence (AI) community, education in AI is receiving more and more attentions. There have been many AI related courses in the respects of algorithms and applications, while not many courses in…

Artificial Intelligence · Computer Science 2022-07-26 Jianlei Yang , Xiaopeng Gao , Weisheng Zhao

This paper presents a comprehensive overview on the applications of artificial intelligence (AI) in mathematical research, highlighting the transformative role AI has begun to play in this domain. Traditionally, AI advancements have heavily…

Artificial Intelligence · Computer Science 2026-02-16 Shizhe Liang , Wei Zhang , Tianyang Zhong , Tianming Liu

Artificial Intelligence (AI) is becoming more and more popular as time passes, allowing to perform tasks that were difficult to do in the past. From predictions to customization, AI is being used in many areas, not being educational…

Computers and Society · Computer Science 2023-10-16 David Roldán-Álvarez

The introduction of generative artificial intelligence applications to the public has led to heated discussions about its potential impacts and risks for K-12 education. One particular challenge has been to decide what students should learn…

Computers and Society · Computer Science 2026-02-20 Yasmin Kafai , Shuchi Grover

Computer programming is undergoing a true transformation driven by powerful new tools for automatic source code generation based on large language models. This transformation is also manifesting in introductory programming courses at…

Computers and Society · Computer Science 2025-07-02 Clemente Rubio-Manzano , Jazna Meza , Rodolfo Fernandez-Santibanez , Christian Vidal-Castro

Mathematical reasoning is a fundamental aspect of human intelligence and is applicable in various fields, including science, engineering, finance, and everyday life. The development of artificial intelligence (AI) systems capable of solving…

Artificial Intelligence · Computer Science 2023-06-23 Pan Lu , Liang Qiu , Wenhao Yu , Sean Welleck , Kai-Wei Chang

The research on and application of artificial intelligence (AI) has triggered a comprehensive scientific, economic, social and political discussion. Here we argue that statistics, as an interdisciplinary scientific field, plays a…

Artificial intelligence (AI) is the name popularly given to a broad spectrum of computer tools designed to perform increasingly complex cognitive tasks, including many that used to solely be the province of humans. As these tools become…

History and Overview · Mathematics 2026-03-30 Tanya Klowden , Terence Tao

Recent developments show that AI can prove research-level theorems in mathematics, both formally and informally. This essay urges mathematicians to stay up-to-date with the technology, to consider the ways it will disrupt mathematical…

History and Overview · Mathematics 2026-04-07 Jeremy Avigad

Computation, the use of a computer to solve, simulate, or visualize a physical problem, has revolutionized how physics research is done. Computation is used widely to model systems, to simulate experiments, and to analyze data. Yet, in most…

Physics Education · Physics 2015-11-18 Marcos D. Caballero

The computing education community has a rich history of pedagogical innovation designed to support students in introductory courses, and to support teachers in facilitating student learning. Very recent advances in artificial intelligence…

This paper addresses the question of how able the current trends of Artificial Intelligence (AI) are in managing to take the responsibility of a full course of mathematics at a college level. The study evaluates this ability in four…

Artificial Intelligence · Computer Science 2025-07-30 Mariam Alsayyad , Fayadh Kadhem

Mastering one or more programming languages has historically been the gateway to implementing ideas on a computer. Today, that gateway is widening with advances in large language models (LLMs) and artificial intelligence (AI)-powered coding…

Computers and Society · Computer Science 2025-11-25 Douglas C. Schmidt , Dan Runfola
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