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Related papers: Towards an Intelligent Tutor for Mathematical Proo…

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This work investigates how tutoring discourse interacts with students' proximal knowledge to explain and predict students' learning outcomes. Our work is conducted in the context of high-dosage human tutoring where 9th-grade students (N=…

Artificial Intelligence · Computer Science 2024-05-13 Mark Abdelshiheed , Jennifer K. Jacobs , Sidney K. D'Mello

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

Interactive proof assistants make it possible for ordinary mathematicians to write definitions and theorems in a formal proof language, like a programming language, so that a computer can parse them and check them against the rules of a…

History and Overview · Mathematics 2024-11-20 Jeremy Avigad , Johan Commelin , Heather Macbeth , Adam Topaz

Aiming to offer a framework for blended learning to the teaching of proof theory, the present paper describes an interactive tutorial, called \textsc{TryLogic}, teaching how to solve logical conjectures either by proofs or refutations. The…

Computers and Society · Computer Science 2015-07-15 Patrick Terrematte , João Marcos

Mathematical theorems are human knowledge able to be accumulated in the form of symbolic representation, and proving theorems has been considered intelligent behavior. Based on the BHK interpretation and the Curry-Howard isomorphism, proof…

Neural and Evolutionary Computing · Computer Science 2016-04-18 Li-An Yang , Jui-Pin Liu , Chao-Hong Chen , Ying-ping Chen

The emergence of generative AI has accelerated the development of conversational tutoring systems that interact with students through natural language dialogue. Unlike prior intelligent tutoring systems (ITS), which largely function as…

Human-Computer Interaction · Computer Science 2026-02-24 Kirk Vanacore , Ryan S. Baker , Avery H. Closser , Jeremy Roschelle

Resource limitations make it hard to provide all students with one of the most effective educational interventions: personalized instruction. Reinforcement learning could be a key tool to reduce the development cost and improve the…

Todays, Intelligent and web-based E-Learning is one of the important area in E-Learning. This paper integrates an intelligent and web-based E-Learning with expert system technology to be able to model the learning styles of the learners…

Computers and Society · Computer Science 2013-04-16 Hossein Movafegh Ghadirli , Maryam Rastgarpour

"Systems that Explain Themselves" appears a provocative wording, in particular in the context of mathematics education -- it is as provocative as the idea of building educational software upon technology from computer theorem proving. In…

Software Engineering · Computer Science 2018-03-06 Alan Krempler , Walther Neuper

The study of propositional logic -- fundamental to the theory of computing -- is a cornerstone of the undergraduate computer science curriculum. Learning to solve logical proofs requires repeated guided practice, but undergraduate students…

Intelligent tutoring systems leverage AI models of expert learning and student knowledge to deliver personalized tutoring to students. While these intelligent tutors have demonstrated improved student learning outcomes, it is still unclear…

Human-Computer Interaction · Computer Science 2024-04-22 Grace Guo , Aishwarya Mudgal Sunil Kumar , Adit Gupta , Adam Coscia , Chris MacLellan , Alex Endert

As the recent Large Language Models(LLM's) become increasingly competent in zero-shot and few-shot reasoning across various domains, educators are showing a growing interest in leveraging these LLM's in conversation-based tutoring systems.…

Human-Computer Interaction · Computer Science 2024-03-22 Minju Park , Sojung Kim , Seunghyun Lee , Soonwoo Kwon , Kyuseok Kim

Intelligent tutoring systems (ITSs) are effective in helping students learn; further research could make them even more effective. Particularly desirable is research into how students learn with these systems, how these systems best support…

Artificial intelligence has been applied in various aspects of online education to facilitate teaching and learning. However, few approaches has been made toward a complete AI-powered tutoring system. In this work, we explore the…

Human-Computer Interaction · Computer Science 2024-08-06 Yulin Chen , Ning Ding , Hai-Tao Zheng , Zhiyuan Liu , Maosong Sun , Bowen Zhou

AI can not only outperform people in many planning tasks, but it can also teach them how to plan better. A recent and promising approach to improving human decision-making is to create intelligent tutors that utilize AI to discover and…

Artificial Intelligence · Computer Science 2025-06-24 Lovis Heindrich , Saksham Consul , Falk Lieder

An Intelligent Tutoring System (ITS) has been shown to improve students' learning outcomes by providing a personalized curriculum that addresses individual needs of every student. However, despite the effectiveness and efficiency that ITS…

Computers and Society · Computer Science 2020-09-22 Byungsoo Kim , Hongseok Suh , Jaewe Heo , Youngduck Choi

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

Mobile Learning (M-Learning) is an emerging discipline in the area of education and educational technology. So researchers are trying to optimize and expanding its application in the field of education. The aim of this paper is to…

Computers and Society · Computer Science 2013-04-18 Hossein Movafegh Ghadirli , Maryam Rastgarpour

High-fidelity, AI-based simulated classroom systems enable teachers to rehearse effective teaching strategies. However, dialogue-oriented open-ended conversations such as teaching a student about scale factors can be difficult to model.…

Human-Computer Interaction · Computer Science 2021-12-07 Debajyoti Datta , Maria Phillips , James P Bywater , Jennifer Chiu , Ginger S. Watson , Laura E. Barnes , Donald E Brown

The decisions of individuals and organizations are often suboptimal because fully rational decision-making is too demanding in the real world. Recent work suggests that some errors can be prevented by leveraging artificial intelligence to…

Artificial Intelligence · Computer Science 2025-10-22 Lovis Heindrich , Falk Lieder