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Socratic questioning is an educational method that allows students to discover answers to complex problems by asking them a series of thoughtful questions. Generation of didactically sound questions is challenging, requiring understanding…

Computation and Language · Computer Science 2022-11-24 Kumar Shridhar , Jakub Macina , Mennatallah El-Assady , Tanmay Sinha , Manu Kapur , Mrinmaya Sachan

With the continuous advancement of educational technology, the demand for Large Language Models (LLMs) as intelligent educational agents in providing personalized learning experiences is rapidly increasing. This study aims to explore how to…

Computers and Society · Computer Science 2025-02-04 Changyong Qi , Linzhao Jia , Yuang Wei , Yuan-Hao Jiang , Xiaoqing Gu

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Large language models (LLMs) typically generate direct answers, yet they are increasingly used as learning tools. Studying instructors' usage is critical, given their role in teaching and guiding AI adoption in education. We designed and…

Human-Computer Interaction · Computer Science 2025-09-16 Si Chen , Isabel R. Molnar , Peiyu Li , Adam Acunin , Ting Hua , Alex Ambrose , Nitesh V. Chawla , Ronald Metoyer

The Socratic method is a way of guiding students toward solving a problem independently without directly revealing the solution to the problem. Although this method has been shown to significantly improve student learning outcomes, it…

Computation and Language · Computer Science 2024-04-22 Nischal Ashok Kumar , Andrew Lan

In this work, we use large language models (LLMs) to augment and accelerate research on the P versus NP problem, one of the most important open problems in theoretical computer science and mathematics. Specifically, we propose Socratic…

Computation and Language · Computer Science 2023-09-13 Qingxiu Dong , Li Dong , Ke Xu , Guangyan Zhou , Yaru Hao , Zhifang Sui , Furu Wei

Large Language Models (LLMs) are rapidly transforming education by enabling rich conversational learning experiences. This article provides a comprehensive review of how LLM-based conversational agents are being used in higher education,…

Computation and Language · Computer Science 2025-06-25 Russell Beale

While large language models (LLMs) are increasingly playing a pivotal role in education by providing instantaneous, adaptive responses, their potential to promote critical thinking remains understudied. In this paper, we fill such a gap and…

Human-Computer Interaction · Computer Science 2024-09-10 Lucile Favero , Juan Antonio Pérez-Ortiz , Tanja Käser , Nuria Oliver

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

Large language Models (LLMs) are usually used to answer questions, but many high-stakes applications (e.g., tutoring, clinical support) require the complementary skill of asking questions: detecting missing information, requesting…

Artificial Intelligence · Computer Science 2026-01-07 Rajeev Bhatt Ambati , Tianyi Niu , Aashu Singh , Shlok Mishra , Snigdha Chaturvedi , Shashank Srivastava

This paper presents a systematic approach to using the Socratic method in developing prompt templates that effectively interact with large language models, including GPT-3. Various methods are examined, and those that yield precise answers…

Machine Learning · Computer Science 2023-03-17 Edward Y. Chang

Mathematical reasoning has long represented one of the most fundamental and challenging frontiers in artificial intelligence research. In recent years, large language models (LLMs) have achieved significant advances in this area. This…

Artificial Intelligence · Computer Science 2025-06-11 Peng-Yuan Wang , Tian-Shuo Liu , Chenyang Wang , Yi-Di Wang , Shu Yan , Cheng-Xing Jia , Xu-Hui Liu , Xin-Wei Chen , Jia-Cheng Xu , Ziniu Li , Yang Yu

This paper presents an intervention study on the effects of the combined methods of (1) the Socratic method, (2) Chain of Thought (CoT) reasoning, (3) simplified gamification and (4) formative feedback on university students' Maths learning…

Computation and Language · Computer Science 2025-07-17 Tosin Adewumi , Foteini Simistira Liwicki , Marcus Liwicki , Viktor Gardelli , Lama Alkhaled , Hamam Mokayed

Large Language Models (LLMs) exhibit impressive performance across various domains but still struggle with arithmetic reasoning tasks. Recent work shows the effectiveness of prompt design methods in enhancing reasoning capabilities.…

Computation and Language · Computer Science 2024-10-11 Wenting Tan , Dongxiao Chen , Jieting Xue , Zihao Wang , Taijie Chen

While Large Language Models (LLMs) are often used as virtual tutors in computer science (CS) education, this approach can foster passive learning and over-reliance. This paper presents a novel pedagogical paradigm that inverts this model:…

Computers and Society · Computer Science 2025-08-11 Xinming Yang , Haasil Pujara , Jun Li

Large language models (LLMs) are a promising venue for natural language understanding and generation. However, current LLMs are far from reliable: they are prone to generating non-factual information and, more crucially, to contradicting…

Computation and Language · Computer Science 2024-09-24 Diego Calanzone , Stefano Teso , Antonio Vergari

Large language models (LLMs) have demonstrated impressive capabilities in mathematical problem solving, particularly in single turn question answering formats. However, real world scenarios often involve mathematical question answering that…

Artificial Intelligence · Computer Science 2024-05-31 Zhenwen Liang , Dian Yu , Wenhao Yu , Wenlin Yao , Zhihan Zhang , Xiangliang Zhang , Dong Yu

Large language models (LLMs) have shown impressive capabilities across a wide range of language tasks. However, their reasoning process is primarily guided by statistical patterns in training data, which limits their ability to handle novel…

Artificial Intelligence · Computer Science 2025-08-21 Hong Su

Mathematical language is a cornerstone of a child's mathematical development, and children can effectively acquire this language through storytelling with a knowledgeable and engaging partner. In this study, we leverage the recent advances…

Human-Computer Interaction · Computer Science 2024-02-28 Chao Zhang , Xuechen Liu , Katherine Ziska , Soobin Jeon , Chi-Lin Yu , Ying Xu

Mathematical reasoning serves as a cornerstone for assessing the fundamental cognitive capabilities of human intelligence. In recent times, there has been a notable surge in the development of Large Language Models (LLMs) geared towards the…

Computation and Language · Computer Science 2024-09-18 Janice Ahn , Rishu Verma , Renze Lou , Di Liu , Rui Zhang , Wenpeng Yin
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