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This paper presents an intelligent tutoring system, GeoTutor, for Euclidean Geometry that is automatically able to synthesize proof problems and their respective solutions given a geometric figure together with a set of properties true of…

Artificial Intelligence · Computer Science 2015-10-30 Chris Alvin , Sumit Gulwani , Rupak Majumdar , Supratik Mukhopadhyay

The idea of assisting teachers with technological tools is not new. Mathematics in general, and geometry in particular, provide interesting challenges when developing educative softwares, both in the education and computer science aspects.…

Artificial Intelligence · Computer Science 2018-03-06 Ludovic Font , Philippe R. Richard , Michel Gagnon

Computer-supported learning is an increasingly important form of study since it allows for independent learning and individualized instruction. In this paper, we discuss a novel approach to developing an intelligent tutoring system for…

Artificial Intelligence · Computer Science 2012-02-23 Serge Autexier , Dominik Dietrich , Marvin Schiller

The geometry automated theorem proving area distinguishes itself by a large number of specific methods and implementations, different approaches (synthetic, algebraic, semi-synthetic) and different goals and applications (from research in…

Artificial Intelligence · Computer Science 2020-03-02 Nuno Baeta , Pedro Quaresma , Zoltán Kovács

This research investigates the use of customized GPT models to enhance prompting proficiency among architecture students when generating AI-driven images. Prompt engineering is increasingly essential in architectural education due to the…

Human-Computer Interaction · Computer Science 2025-04-28 Juan David Salazar Rodriguez , Sam Conrad Joyce , Julfendi

Domain of mathematical logic in computers is dominated by automated theorem provers (ATP) and interactive theorem provers (ITP). Both of these are hard to access by AI from the human-imitation approach: ATPs often use human-unfriendly…

Logic in Computer Science · Computer Science 2020-05-08 Miroslav Olšák

Proving lemmas in synthetic geometry is often a time-consuming endeavour since many intermediate lemmas need to be proven before interesting results can be obtained. Improvements in automated theorem provers (ATP) in recent years now mean…

Logic in Computer Science · Computer Science 2019-04-03 Maximilian Doré , Krysia Broda

The area of geometry with its very strong and appealing visual contents and its also strong and appealing connection between the visual content and its formal specification, is an area where computational tools can enhance, in a significant…

Computational Geometry · Computer Science 2012-02-23 Vanda Santos , Pedro Quaresma

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

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

Interactive Theorem Provers (ITPs) are an indispensable tool in the arsenal of formal method experts as a platform for construction and (formal) verification of proofs. The complexity of the proofs in conjunction with the level of expertise…

Logic in Computer Science · Computer Science 2023-04-21 Eric Yeh , Briland Hitaj , Sam Owre , Maena Quemener , Natarajan Shankar

The introduction of automated deduction systems in secondary schools face several bottlenecks. Beyond the problems related with the curricula and the teachers, the dissonance between the outcomes of the geometry automated theorem provers…

Artificial Intelligence · Computer Science 2023-03-13 Joana Teles , Vanda Santos , Pedro Quaresma

This study explores the integration of the ChatGPT API with GPT-4 model and Microsoft Copilot Studio on the Microsoft Teams platform to develop an intelligent tutoring system. Designed to provide instant support to students, the system…

Computation and Language · Computer Science 2024-05-24 Wei-Yu Chen

One-on-one tutoring is an effective instructional method for enhancing learning, yet its efficacy hinges on tutor competencies. Novice math tutors often prioritize content-specific guidance, neglecting aspects such as social-emotional…

The field of geometric automated theorem provers has a long and rich history, from the early AI approaches of the 1960s, synthetic provers, to today algebraic and synthetic provers. The geometry automated deduction area differs from other…

Logic in Computer Science · Computer Science 2019-04-02 Nuno Baeta , Pedro Quaresma

This study explores the use of artificial intelligence (AI) as a complementary tool for grading essay-type questions in higher education, focusing on its consistency with human grading and potential to reduce biases. Using 70 handwritten…

Artificial Intelligence · Computer Science 2025-01-14 Francisco Olivos , Tobias Kamelski , Sebastián Ascui-Gac

We report about significant enhancements of the complex algebraic geometry theorem proving subsystem in GeoGebra for automated proofs in Euclidean geometry, concerning the extension of numerous GeoGebra tools with proof capabilities. As a…

Artificial Intelligence · Computer Science 2016-03-04 Zoltán Kovács , Csilla Sólyom-Gecse

Academic writing skills are crucial for students' success, but can feel overwhelming without proper guidance and practice, particularly when writing in a second language. Traditionally, students ask instructors or search dictionaries, which…

Artificial Intelligence · Computer Science 2025-06-24 Fumian Chen , Sotheara Veng , Joshua Wilson , Xiaoming Li , Hui Fang

Automated Theorem Proving (ATP) is an established branch of Artificial Intelligence. The purpose of ATP is to design a system which can automatically figure out an algorithm either to prove or disprove a mathematical claim, on the basis of…

Artificial Intelligence · Computer Science 2014-12-19 Mohammad Murtaza Mahmud , Swakkhar Shatabda , Mohammad Nurul Huda

We evaluate the effectiveness of LLM-Tutor, a large language model (LLM)-powered tutoring system that combines an AI-based proof-review tutor for real-time feedback on proof-writing and a chatbot for mathematics-related queries. Our…

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