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With the introduction of large language models (LLMs), automatic math reasoning has seen tremendous success. However, current methods primarily focus on providing solutions or using techniques like Chain-of-Thought to enhance…

Computation and Language · Computer Science 2024-07-25 Yuyang Ding , Hanglei Hu , Jie Zhou , Qin Chen , Bo Jiang , Liang He

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

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

Mathematical reasoning remains a significant challenge for large language models (LLMs), despite progress in prompting techniques such as Chain-of-Thought (CoT). We present **Chain of Mathematically Annotated Thought (CoMAT)**, which…

Artificial Intelligence · Computer Science 2026-01-16 Joshua Ong Jun Leang , Aryo Pradipta Gema , Shay B. Cohen

Instructing large language models (LLMs) to solve elementary school math problems has shown great success using Chain of Thought (CoT). However, the CoT approach relies on an LLM to generate a sequence of arithmetic calculations which can…

Computation and Language · Computer Science 2024-05-29 Xiaocheng Yang , Bingsen Chen , Yik-Cheung Tam

Large language models (LLMs) have made impressive progress in handling simple math problems, yet they still struggle with more challenging and complex mathematical tasks. In this paper, we introduce a series of LLMs that employs the…

Computation and Language · Computer Science 2024-07-18 Chengpeng Li , Guanting Dong , Mingfeng Xue , Ru Peng , Xiang Wang , Dayiheng Liu

Large language models (LLMs) recently exhibited remarkable reasoning capabilities on solving math problems. To further improve their reasoning capabilities, this work explores whether LLMs can LEarn from MistAkes (LEMA), akin to the human…

Computation and Language · Computer Science 2024-04-01 Shengnan An , Zexiong Ma , Zeqi Lin , Nanning Zheng , Jian-Guang Lou , Weizhu Chen

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

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

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

This study presents a novel learning approach designed to enhance both mathematical reasoning and problem-solving abilities of Large Language Models (LLMs). We focus on integrating the Chain-of-Thought (CoT) and the Program-of-Thought (PoT)…

Computation and Language · Computer Science 2024-10-03 Hyeonwoo Kim , Gyoungjin Gim , Yungi Kim , Jihoo Kim , Byungju Kim , Wonseok Lee , Chanjun Park

Large Language Models (LLMs) have demonstrated strong performance across a wide range of tasks, yet they still struggle with complex mathematical reasoning, a challenge fundamentally rooted in deep structural dependencies. To address this…

Artificial Intelligence · Computer Science 2025-12-01 Lei Zan , Keli Zhang , Ruichu Cai , Lujia Pan

Mathematical reasoning remains a challenging area for large language models (LLMs), prompting the development of math-specific LLMs such as LLEMMA, DeepSeekMath, and Qwen2-Math, among others. These models typically follow a two-stage…

Computation and Language · Computer Science 2025-03-25 Zui Chen , Tianqiao Liu , Mi Tian , Qing Tong , Weiqi Luo , Zitao Liu

Existing approaches to mathematical reasoning with large language models (LLMs) rely on Chain-of-Thought (CoT) for generalizability or Tool-Integrated Reasoning (TIR) for precise computation. While efforts have been made to combine these…

Computation and Language · Computer Science 2026-02-13 Xin Xu , Yan Xu , Tianhao Chen , Yuchen Yan , Chengwu Liu , Zaoyu Chen , Yufei Wang , Yichun Yin , Yasheng Wang , Lifeng Shang , Qun Liu , Lu Yin

Recent studies have discovered that Chain-of-Thought prompting (CoT) can dramatically improve the performance of Large Language Models (LLMs), particularly when dealing with complex tasks involving mathematics or reasoning. Despite the…

Machine Learning · Computer Science 2023-12-27 Guhao Feng , Bohang Zhang , Yuntian Gu , Haotian Ye , Di He , Liwei Wang

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

Chain-of-thought (CoT) reasoning has enabled large language models (LLMs) to utilize additional computation through intermediate tokens to solve complex tasks. However, we posit that typical reasoning traces contain many redundant tokens,…

Computation and Language · Computer Science 2025-06-11 Tergel Munkhbat , Namgyu Ho , Seo Hyun Kim , Yongjin Yang , Yujin Kim , Se-Young Yun

In recent years, large language models (LLMs) have demonstrated significant potential in complex reasoning tasks like mathematical problem-solving. However, existing research predominantly relies on reinforcement learning (RL) frameworks…

Machine Learning · Computer Science 2026-01-12 ShaoZhen Liu , Xinting Huang , Houwen Peng , Xin Chen , Xinyang Song , Qi Li , Zhenan Sun

The cognitive mechanism by which Large Language Models (LLMs) solve mathematical problems remains a widely debated and unresolved issue. Currently, there is little interpretable experimental evidence that connects LLMs' problem-solving with…

Artificial Intelligence · Computer Science 2025-09-23 Wei Xie , Shuoyoucheng Ma , Zhenhua Wang , Enze Wang , Kai Chen , Xiaobing Sun , Baosheng Wang

Large language models (LLMs) have demonstrated unprecedented capability in reasoning with natural language. Coupled with this development is the emergence of embodied AI in robotics. Despite showing promise for verbal and written reasoning…

Robotics · Computer Science 2025-03-12 Veronica Bot , Zheyuan Xu
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