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Effective educational AI depends on modeling student misconceptions. Such models enable realistic learner simulation and diagnostic, adaptive tutoring. However, instruction-tuning large language models on student responses containing…

Computers and Society · Computer Science 2026-04-02 Naiming Liu , Xinghe Chen , Richard Baraniuk , Mrinmaya Sachan , Shashank Sonkar

Large language models (LLMs) often make reasoning errors when solving mathematical problems, and how to automatically detect and correct these errors has become an important research direction. However, existing approaches \textit{mainly…

Computation and Language · Computer Science 2025-11-19 Biaojie Zeng , Min Zhang , Juan Zhou , Fengrui Liu , Ruiyang Huang , Xin Lin

Understanding a program's runtime reasoning behavior, meaning how intermediate states and control flows lead to final execution results, is essential for reliable code generation, debugging, and automated reasoning. Although large language…

Software Engineering · Computer Science 2025-12-02 Mohammad Abdollahi , Khandaker Rifah Tasnia , Soumit Kanti Saha , Jinqiu Yang , Song Wang , Hadi Hemmati

Research on reasoning in language models (LMs) predominantly focuses on improving the correctness of their outputs. But some important applications require modeling reasoning patterns that are incorrect. For example, automated systems that…

Machine Learning · Computer Science 2025-10-14 Alexis Ross , Jacob Andreas

As the field of Multimodal Large Language Models (MLLMs) continues to evolve, their potential to revolutionize artificial intelligence is particularly promising, especially in addressing mathematical reasoning tasks. Current mathematical…

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

Detecting student misconceptions in open-ended responses is a longstanding challenge, demanding semantic precision and logical reasoning. We propose MiRAGE - Misconception Detection with Retrieval-Guided Multi-Stage Reasoning and Ensemble…

Artificial Intelligence · Computer Science 2025-11-04 Cuong Van Duc , Thai Tran Quoc , Minh Nguyen Dinh Tuan , Tam Vu Duc , Son Nguyen Van , Hanh Nguyen Thi

As language models regularly make mistakes when solving math problems, automated identification of errors in the reasoning process becomes increasingly significant for their scalable oversight. In this paper, we introduce ProcessBench for…

Artificial Intelligence · Computer Science 2025-05-27 Chujie Zheng , Zhenru Zhang , Beichen Zhang , Runji Lin , Keming Lu , Bowen Yu , Dayiheng Liu , Jingren Zhou , Junyang Lin

Large Language Models (LLMs) are increasingly being used in education, yet their correctness alone does not capture the quality, reliability, or pedagogical validity of their problem-solving behavior, especially in mathematics, where…

Computers and Society · Computer Science 2025-10-22 Sagnik Dakshit , Sushmita Sinha Roy

Multimodal large language models (MLLMs) have shown promising reasoning abilities, yet evaluating their performance in specialized domains remains challenging. STEM reasoning is a particularly valuable testbed because it provides highly…

Computer Vision and Pattern Recognition · Computer Science 2026-05-11 Jing Jin , Hao Liu , Yan Bai , Yihang Lou , Zhenke Wang , Tianrun Yuan , Juntong Chen , Yongkang Zhu , Fanhu Zeng , Xuanyu Zhu , Tao Feng , Yige Xu

Modeling plausible student misconceptions is critical for AI in education. In this work, we examine how large language models (LLMs) reason about misconceptions when generating multiple-choice distractors, a task that requires modeling…

Computation and Language · Computer Science 2026-03-17 Yanick Zengaffinen , Andreas Opedal , Donya Rooein , Kv Aditya Srivatsa , Shashank Sonkar , Mrinmaya Sachan

Pretrained language models have shown superior performance on many natural language processing tasks, yet they still struggle at multi-step formal reasoning tasks like grade school math problems. One key challenge of finetuning them to…

Machine Learning · Computer Science 2023-02-20 Ansong Ni , Jeevana Priya Inala , Chenglong Wang , Oleksandr Polozov , Christopher Meek , Dragomir Radev , Jianfeng Gao

We propose novel evaluations for mathematical reasoning capabilities of Large Language Models (LLMs) based on mathematical misconceptions. Our primary approach is to simulate LLMs as a novice learner and an expert tutor, aiming to identify…

Computation and Language · Computer Science 2023-10-05 Naiming Liu , Shashank Sonkar , Zichao Wang , Simon Woodhead , Richard G. Baraniuk

Explicit reasoning models are trained to produce intermediate reasoning traces before final answers, but downstream fine-tuning is often performed on ordinary instruction-response data that contains no such traces. We show that this…

Machine Learning · Computer Science 2026-05-21 Lukas Twist , Helen Yannakoudakis , Jie M. Zhang

Assessing student handwritten scratchwork is crucial for personalized educational feedback but presents unique challenges due to diverse handwriting, complex layouts, and varied problem-solving approaches. Existing educational NLP primarily…

Artificial Intelligence · Computer Science 2026-03-27 Dingjie Song , Tianlong Xu , Yi-Fan Zhang , Hang Li , Zhiling Yan , Xing Fan , Haoyang Li , Lichao Sun , Qingsong Wen

Large Language Models (LLMs) have demonstrated remarkable capabilities across various domains. Math Word Problems (MWPs) serve as a crucial benchmark for evaluating LLMs' reasoning abilities. While most research primarily focuses on…

Computation and Language · Computer Science 2025-09-09 Yuhong Sun , Zhangyue Yin , Xuanjing Huang , Xipeng Qiu , Hui Zhao

Despite strong results on many tasks, multimodal large language models (MLLMs) still underperform on visual mathematical problem solving, especially in reliably perceiving and interpreting diagrams. Inspired by human problem-solving, we…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Shuhang Chen , Hangjie Yuan , Yunqiu Xu , Pengwei Liu , Tao Feng , Jun Cen , Zeying Huang , Yi Yang

Recent advances in Multi-Modal Large Language Models (MLLMs) have enabled unified processing of language, vision, and structured inputs, opening the door to complex tasks such as logical deduction, spatial reasoning, and scientific…

Artificial Intelligence · Computer Science 2025-07-03 Guiyao Tie , Xueyang Zhou , Tianhe Gu , Ruihang Zhang , Chaoran Hu , Sizhe Zhang , Mengqu Sun , Yan Zhang , Pan Zhou , Lichao Sun

This paper introduces MalAlgoQA, a novel dataset designed to evaluate the counterfactual reasoning capabilities of Large Language Models (LLMs) through a pedagogical approach. The dataset comprises mathematics and reading comprehension…

Computation and Language · Computer Science 2024-10-08 Naiming Liu , Shashank Sonkar , Myco Le , Richard Baraniuk

Recent studies have highlighted the limitations of large language models in mathematical reasoning, particularly their inability to capture the underlying logic. Inspired by meta-learning, we propose that models should acquire not only…

Computation and Language · Computer Science 2024-12-19 Kejie Chen , Lin Wang , Qinghai Zhang , Renjun Xu
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