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While proof is a central component of postsecondary mathematical study, proof construction has historically posed significant difficulties for students who intend to earn mathematics degrees at the undergraduate level. This work is…

History and Overview · Mathematics 2023-03-01 Bolanle Salaam

The philosophy of mathematical practice (PMP) looks to evidence from working mathematics to help settle philosophical questions. One prominent program under the PMP banner is the study of explanation in mathematics, which aims to understand…

History and Overview · Mathematics 2025-07-08 William D'Alessandro

In this era of computerization, education has also revamped itself and is not limited to old lecture method. The regular quest is on to find out new ways to make it more effective and efficient for students. Nowadays, lots of data is…

Computers and Society · Computer Science 2021-07-23 Pooja Thakar , Anil Mehta , Manisha

Generative AI systems such as ChatGPT have a disruptive effect on learning and assessment. Computer science requires practice to develop skills in problem solving and programming that are traditionally developed using assignments.…

Computers and Society · Computer Science 2023-11-29 Kevin Wang , Seth Akins , Abdallah Mohammed , Ramon Lawrence

Large-enrollment university courses face persistent challenges in providing timely and scalable instructional support. While generative AI holds promise, its effective use depends on reliability and pedagogical alignment. We present a…

Computers and Society · Computer Science 2026-03-31 Jérémy Barghorn , Anna Sotnikova , Sacha Friedli , Antoine Bosselut

Many students in introductory programming courses fare poorly in the code writing tasks of the final summative assessment. Such tasks are designed to assess whether novices have developed the analytical skills to translate from the given…

Software Engineering · Computer Science 2024-04-04 Shruthi Ravikumar , Margaret Hamilton , Charles Thevathayan , Maria Spichkova , Kashif Ali , Gayan Wijesinghe

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

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

When working on intelligent tutor systems designed for mathematics education and its specificities, an interesting objective is to provide relevant help to the students by anticipating their next steps. This can only be done by knowing,…

Artificial Intelligence · Computer Science 2020-03-02 Ludovic Font , Sébastien Cyr , Philippe R. Richard , Michel Gagnon

Crises in peer review capacity, study replication, and AI-fabricated science have intensified interest in automated tools for assessing scientific research. However, the scientific community has a history of decontextualizing and…

Computers and Society · Computer Science 2026-01-16 Carole J. Lee

Intrinsically motivated spontaneous exploration is a key enabler of autonomous developmental learning in human children. It enables the discovery of skill repertoires through autotelic learning, i.e. the self-generation, self-selection,…

Artificial Intelligence · Computer Science 2022-05-06 Sébastien Forestier , Rémy Portelas , Yoan Mollard , Pierre-Yves Oudeyer

This research paper will bring forth the innovative pedagogical approach in computer science education, which uses a combination of methodologies borrowed from Artificial Intelligence (AI) and DevOps to enhance the learning experience in…

Computers and Society · Computer Science 2024-06-25 Edis Mekić , Mihailo Jovanović , Kristijan Kuk , Bojan Prlinčević , Ana Savić

The paper surveys automated scientific discovery, from equation discovery and symbolic regression to autonomous discovery systems and agents. It discusses the individual approaches from a "big picture" perspective and in context, but also…

Artificial Intelligence · Computer Science 2026-05-01 Stefan Kramer , Mattia Cerrato , Jannis Brugger , Sašo Džeroski , Ross King

Computational developments--particularly artificial intelligence--are reshaping social scientific research and raise new questions for in-depth methods such as ethnography and qualitative interviewing. Building on classic debates about…

Computers and Society · Computer Science 2025-11-13 Corey M. Abramson , Tara Prendergast , Zhuofan Li , Daniel Dohan

Cognitive diagnosis is a crucial task in computational education, aimed at evaluating students' proficiency levels across various knowledge concepts through exercises. Current models, however, primarily rely on students' answered exercises,…

Computers and Society · Computer Science 2023-12-19 Haiping Ma , Changqian Wang , Hengshu Zhu , Shangshang Yang , Xiaoming Zhang , Xingyi Zhang

Although language models demonstrate remarkable proficiency on mathematical benchmarks, it remains unclear whether this reflects true mathematical reasoning or statistical pattern matching over learning formal syntax. Most existing…

Artificial Intelligence · Computer Science 2026-04-27 Michael Cooper , Samuel Cooper

The recent proliferation of artificial intelligence and machine learning (AI/ML) systems highlights the need for all people to develop effective competencies to interact with and examine AI/ML systems. We study shifts in five experienced…

Human-Computer Interaction · Computer Science 2026-03-30 Daniel J. Noh , Deborah A. Fields , Yasmin B. Kafai , Danaé Metaxa

Representation determines how we can reason about a specific problem. Sometimes one representation helps us find a proof more easily than others. Most current automated reasoning tools focus on reasoning within one representation. There is,…

Artificial Intelligence · Computer Science 2015-05-12 Daniel Raggi , Alan Bundy , Gudmund Grov , Alison Pease

We present an approach for testing student learning outcomes in a course on automated reasoning using the Isabelle proof assistant. The approach allows us to test both general understanding of formal proofs in various logical proof systems…

Logic in Computer Science · Computer Science 2023-03-13 Frederik Krogsdal Jacobsen , Jørgen Villadsen

Symbolic Computation algorithms and their implementation in computer algebra systems often contain choices which do not affect the correctness of the output but can significantly impact the resources required: such choices can benefit from…

Symbolic Computation · Computer Science 2024-09-12 Tereso del Río , Matthew England