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Many institutions are changing the focus of their introductory physics labs from verifying physics content towards teaching students about the skills and nature of science. As instruction shifts, so too will the ways students approach and…

Physics Education · Physics 2022-07-06 Martin M. Stein , Emily M. Smith , N. G. Holmes

This essay considers the special character of mathematical reasoning, and draws on observations from interactive theorem proving and the history of mathematics to clarify the nature of formal and informal mathematical language. It proposes…

History and Overview · Mathematics 2015-08-24 Jeremy Avigad

Debugging is often a challenging and infuriating experience for secondary school students learning their first text-based programming language. Many students resort to ineffective debugging strategies, making success with solving errors…

Human-Computer Interaction · Computer Science 2025-08-27 Laurie Gale , Sue Sentance

It is nowadays common to consider that proof must be part of the learning of mathematics from Kindergarten to University1. As it is easy to observe, looking back to the history of mathematical curricula, this has not always been the case…

History and Overview · Mathematics 2023-05-31 Nicolas Balacheff

Existing reasoning evaluation paradigms suffer from different limitations: fixed benchmarks are increasingly saturated and vulnerable to contamination, while preference-based evaluations rely on subjective judgments. We argue that a core…

Artificial Intelligence · Computer Science 2026-05-19 Baoqing Yue , Zihan Zhu , Yutong Han , Brian Fan , Qian Sun , Jichen Feng , Hufei Yang , Yifan Zhang , Mengdi Wang

Plagiarism in introductory programming courses is an enormous challenge for both students and institutions. For students, relying on the work of others too early in their academic development can make it impossible to acquire necessary…

Computers and Society · Computer Science 2022-06-08 Simon J. Cohen , Michael J. Martin , Chance A. Shipley , Abhishek Kumar , Andrew R. Cohen

Active learning strategies have been widely recognised for their effectiveness in tertiary education, yet their implementation at scale, particularly in large first-year mathematics courses, presents considerable challenges. A common method…

History and Overview · Mathematics 2025-04-30 Raymond Vozzo , Stuart Johnson , Jonathan Tuke , Tanya Evans

We present IntelliProof, an interactive system for analyzing argumentative essays through LLMs. IntelliProof structures an essay as an argumentation graph, where claims are represented as nodes, supporting evidence is attached as node…

Computation and Language · Computer Science 2025-11-19 Kaveh Eskandari Miandoab , Katharine Kowalyshyn , Kabir Pamnani , Anesu Gavhera , Vasanth Sarathy , Matthias Scheutz

Introductory programming courses often emphasize mastering syntax and basic constructs before progressing to more complex and interesting programs. This bottom-up approach can be frustrating for novices, shifting the focus away from problem…

Computers and Society · Computer Science 2024-10-07 Chris Kerslake , Paul Denny , David H Smith , James Prather , Juho Leinonen , Andrew Luxton-Reilly , Stephen MacNeil

Peer review is a widely utilized feedback mechanism for engaging students. As a pedagogical method, it has been shown to improve educational outcomes, but we have found limited empirical measurement of peer review in visualization courses.…

Human-Computer Interaction · Computer Science 2021-08-09 Zachariah Beasley , Alon Friedman , Paul Rosen

This note tries to show that a re-examination of a first course in analysis, using the more sophisticated tools and approaches obtained in later stages, can be a real fun for experts, advanced students, etc. We start by going to the…

History and Overview · Mathematics 2019-01-31 Daniel Reem

Proof Blocks is a software tool which enables students to write proofs by dragging and dropping prewritten proof lines into the correct order. These proofs can be graded completely automatically, enabling students to receive rapid feedback…

Computers and Society · Computer Science 2022-05-06 Seth Poulsen , Mahesh Viswanathan , Geoffrey L. Herman , Matthew West

Student learning of sound waves can be helped through the creation of group-learning classroom materials whose development and design rely on explicit investigations into student understanding. We describe reasoning in terms of sets of…

Physics Education · Physics 2009-11-07 Michael C. Wittmann , Richard N. Steinberg , Edward F. Redish

Mechanical reasoning is a key area of research that lies at the crossroads of mathematical logic and artificial intelligence. The main aim to develop mechanical reasoning systems (also known as theorem provers) was to enable mathematicians…

Software Engineering · Computer Science 2019-12-09 M. Saqib Nawaz , Moin Malik , Yi Li , Meng Sun , M. Ikram Ullah Lali

Informal logic is a method of argument analysis which is complementary to that of formal logic, providing for the pragmatic treatment of features of argumentation which cannot be reduced to logical form. The central claim of this paper is…

History and Overview · Mathematics 2019-05-03 Andrew Aberdein

Current practices of quantifying performance by productivity leads serious concerns for psychological well-being of doctoral students and influence of research environment is often neglected in research evaluations. Acknowledgements in…

Computers and Society · Computer Science 2022-03-08 Ozgur Can Seckin , Onur Varol

Interactive proofs are often considered as costs of formal modelling activity. In an incremental development environment such as the Rodin platform for Event-B, information from proof attempts is important input for adapting the model. This…

Software Engineering · Computer Science 2012-11-07 Thai Son Hoang

Optimizing the phrasing of argumentative text is crucial in higher education and professional development. However, assessing whether and how the different claims in a text should be revised is a hard task, especially for novice writers. In…

Computation and Language · Computer Science 2023-05-29 Gabriella Skitalinskaya , Henning Wachsmuth

In introductory physics laboratory instruction, students often expect to confirm or demonstrate textbook physics concepts (Wilcox & Lewandowski, 2017; Hu & Zwickl, 2017; Hu & Zwickl, 2018). This expectation is largely undesirable: labs that…

Physics Education · Physics 2024-04-24 Ian Descamps , Sophia Jeon , N. G. Holmes , Rachel E. Scherr , David Hammer

Self-reflection on learning experiences constitutes a fundamental cognitive process, essential for the consolidation of knowledge and the enhancement of learning efficacy. However, traditional methods to facilitate reflection often face…

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