Can Vision-Language Models Evaluate Handwritten Math?

Oikantik Nath, Hanani Bathina, Mohammed Safi Ur Rahman Khan, Mitesh M Khapra


Abstract
Recent advancements in Vision-Language Models (VLMs) have opened new possibilities in automatic grading of handwritten student responses, particularly in mathematics. However, a comprehensive study to test the ability of VLMs to evaluate and reason over handwritten content remains absent. To address this gap, we introduce FERMAT, a benchmark designed to assess VLMs’ ability to detect, localize and correct errors in handwritten mathematical content. FERMAT spans four key error dimensions - computational, conceptual, notational, and presentation - and comprises over 2,200 handwritten math solutions derived from 609 manually curated problems from grades 7-12 with intentionally introduced perturbations. Using FERMAT we benchmark nine VLMs across three tasks: error detection, localization, and correction. Our results reveal significant shortcomings in current VLMs in reasoning over handwritten text, with Gemini-1.5-Pro achieving the highest error correction rate (77%). We also observed that some models struggle with processing handwritten content, as their accuracy improves when handwritten inputs are replaced with printed text or images. These findings highlight the limitations of current VLMs and reveal new avenues for improvement. We will release FERMAT and all the associated resources in the open-source to drive further research.
Anthology ID:
2025.acl-long.720
Volume:
Proceedings of the 63rd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)
Month:
July
Year:
2025
Address:
Vienna, Austria
Editors:
Wanxiang Che, Joyce Nabende, Ekaterina Shutova, Mohammad Taher Pilehvar
Venue:
ACL
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
14784–14814
Language:
URL:
https://preview.aclanthology.org/ingestion-acl-25/2025.acl-long.720/
DOI:
Bibkey:
Cite (ACL):
Oikantik Nath, Hanani Bathina, Mohammed Safi Ur Rahman Khan, and Mitesh M Khapra. 2025. Can Vision-Language Models Evaluate Handwritten Math?. In Proceedings of the 63rd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 14784–14814, Vienna, Austria. Association for Computational Linguistics.
Cite (Informal):
Can Vision-Language Models Evaluate Handwritten Math? (Nath et al., ACL 2025)
Copy Citation:
PDF:
https://preview.aclanthology.org/ingestion-acl-25/2025.acl-long.720.pdf