Automated Grading of Handwritten Mathematics Using Vision-Capable LLMs
- URL: http://arxiv.org/abs/2605.19043v1
- Date: Mon, 18 May 2026 19:06:15 GMT
- Title: Automated Grading of Handwritten Mathematics Using Vision-Capable LLMs
- Abstract summary: Vision-capable large language models (LLMs) offer new opportunities.<n>We present an empirical evaluation of an LLM-based grader for handwritten mathematical work using instructor-defined rubrics.
- Score: 2.727845763576068
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Automated grading systems have enabled scalable assessment for many response types, but handwritten mathematics remains a barrier due to the complexity of multi-step solutions. Vision-capable large language models (LLMs) offer new opportunities here, yet their reliability in authentic instructional settings remains poorly understood. We present an empirical evaluation of an LLM-based grader for handwritten mathematical work using instructor-defined rubrics. Extending a prior pipeline for typed responses, we integrate transcription and rubric-based evaluation of photographic submissions within a single LLM call, evaluating on student work from two university STEM courses. Comparing AI grading decisions against human-assigned ground truth at the rubric-item level, we observe high overall accuracy, with most errors -- 87\% in the best model -- attributable to transcription failures rather than rubric misapplication. We categorize common error modes, including image quality issues, hallucinated content, and incorrect handling of equivalent expressions. These findings highlight both the promise and limitations of LLM-based grading for handwritten mathematics, providing guidance for system design, prompt refinement, and deployment in educational settings.
Related papers
- From Atomic to Agentic: Towards Interpretable Evaluation of LLMs' Agentic Mathematical Capabilities [103.60384544335072]
Large Language Models (LLMs) are evolving from performing end-to-end mathematical reasoning to integrating agentic intelligence.<n>Our framework aligns problem-solving agentic behaviors with a structured taxonomy of reusable mathematical atomic capabilities.<n> Experiments reveal that models with similar end-to-end accuracy can exhibit markedly different agentic capability profiles.
arXiv Detail & Related papers (2026-08-27T10:52:06Z) - Beyond the Traceback: Using LLMs for Adaptive Explanations of Programming Errors [52.619793817715326]
We present a multi-stage crowdsourced study evaluating skill-targeted, LLM-generated Python error messages.<n>We show that while LLM-rewritten messages significantly improved subjective evaluations, these perceived gains did not translate into statistically significant improvements in objective debug performance.<n>This highlights a critical human-AI complementarity gap: explanations that feel better to users do not necessarily make them more effective debuggers.
arXiv Detail & Related papers (2026-08-21T09:14:28Z) - When VLMs 'Fix' Students: Identifying and Penalizing Over-Correction in the Evaluation of Multi-line Handwritten Math OCR [1.625123212387532]
We present the first systematic study of multi-line handwritten math OCR, revealing a critical failure mode of Vision-Language Models (VLMs)<n>Instead of faithfully transcribing a student's work, these models often "fix" errors, thereby hiding the very mistakes an educational assessment aims to detect.<n>We propose PINK, a semantic evaluation metric that leverages a Large Language Model (LLM) for rubric-based grading and explicitly penalizes over-correction.
arXiv Detail & Related papers (2026-04-01T05:27:52Z) - Can MLLMs Read Students' Minds? Unpacking Multimodal Error Analysis in Handwritten Math [55.83696908107408]
We introduce ScratchMath, a novel benchmark for explaining and classifying errors in authentic handwritten mathematics scratchwork.<n>Our dataset comprises 1,720 mathematics samples from Chinese primary and middle school students.<n>We systematically evaluate 16 leading MLLMs on ScratchMath, revealing significant performance gaps relative to human experts.
arXiv Detail & Related papers (2026-03-26T02:57:20Z) - Human-in-the-Loop LLM Grading for Handwritten Mathematics Assessments [4.291185382337384]
We present a scalable, end-to-end workflow for LLM-assisted grading of short, pen-and-paper assessments.<n>We deploy the system in two undergraduate mathematics courses using six low-stakes in-class tests.
arXiv Detail & Related papers (2026-03-13T15:32:09Z) - Evaluating AI Grading on Real-World Handwritten College Mathematics: A Large-Scale Study Toward a Benchmark [9.922581736690159]
We present a large-scale empirical study of AI grading on real, handwritten calculus work from UC Irvine.<n>Using OCR-conditioned large language models with structured, rubric-guided prompting, our system produces scores and formative feedback for thousands of free-response quiz submissions.<n>In a setting with no single ground-truth label, we evaluate performance against official teaching-assistant grades, student surveys, and independent human review.
arXiv Detail & Related papers (2026-03-01T03:32:51Z) - EDU-CIRCUIT-HW: Evaluating Multimodal Large Language Models on Real-World University-Level STEM Student Handwritten Solutions [11.523324370139143]
We release EDU-CIRCUIT-HW, a dataset consisting of 1,300+ authentic student handwritten solutions from a university-level STEM course.<n>We simultaneously evaluate various MLLMs' upstream recognition fidelity and downstream auto-grading performance.<n>Our evaluation uncovers an astonishing scale of latent failures within MLLM-recognized student handwritten content.
arXiv Detail & Related papers (2026-01-23T21:40:29Z) - SPARC: Score Prompting and Adaptive Fusion for Zero-Shot Multi-Label Recognition in Vision-Language Models [74.40683913645731]
Zero-shot multi-label recognition (MLR) with Vision-Language Models (VLMs) faces significant challenges without training data, model tuning, or architectural modifications.<n>Our work proposes a novel solution treating VLMs as black boxes, leveraging scores without training data or ground truth.<n>Analysis of these prompt scores reveals VLM biases and AND''/OR' signal ambiguities, notably that maximum scores are surprisingly suboptimal compared to second-highest scores.
arXiv Detail & Related papers (2025-02-24T07:15:05Z) - MQM-APE: Toward High-Quality Error Annotation Predictors with Automatic Post-Editing in LLM Translation Evaluators [53.91199933655421]
Large Language Models (LLMs) have shown significant potential as judges for Machine Translation (MT) quality assessment.<n>We introduce a universal and training-free framework, $textbfMQM-APE, based on the idea of filtering out non-impactful errors.<n>Experiments show that our approach consistently improves both the reliability and quality of error spans against GEMBA-MQM.
arXiv Detail & Related papers (2024-09-22T06:43:40Z) - RepEval: Effective Text Evaluation with LLM Representation [55.26340302485898]
RepEval is a metric that leverages the projection of Large Language Models (LLMs) representations for evaluation.
Our work underscores the richness of information regarding text quality embedded within LLM representations, offering insights for the development of new metrics.
arXiv Detail & Related papers (2024-04-30T13:50:55Z) - Evaluating Mathematical Reasoning Beyond Accuracy [50.09931172314218]
We introduce ReasonEval, a new methodology for evaluating the quality of reasoning steps.<n>We show that ReasonEval consistently outperforms baseline methods in the meta-evaluation datasets.<n>We observe that ReasonEval can play a significant role in data selection.
arXiv Detail & Related papers (2024-04-08T17:18:04Z) - LASP: Text-to-Text Optimization for Language-Aware Soft Prompting of
Vision & Language Models [67.19124099815645]
We propose a novel Language-Aware Soft Prompting (LASP) learning method to alleviate base class overfitting.
LASP is inherently amenable to including, during training, virtual classes, i.e. class names for which no visual samples are available.
LASP matches and surpasses, for the first time, the accuracy on novel classes obtained by hand-crafted prompts and CLIP for 8 out of 11 test datasets.
arXiv Detail & Related papers (2022-10-03T17:56:35Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.