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Seeing The Big Picture: Evaluating Multimodal Llms º Ability To Interpret And Grade Handwritten Student Work

Date
Publisher
arXiv
Recent advances in multimodal large language models (MLLMs) raise the question of their potential for grading, analyzing, and offering feedback on handwritten student classwork. This capability would be particularly beneficial in elementary and middle-school mathematics education, where most work remains handwritten, because seeing students' full working of a problem provides valuable insights into their learning processes, but is extremely time-consuming to grade. We present two experiments investigating MLLM performance on handwritten student mathematics classwork. Experiment A examines 288 handwritten responses from Ghanaian middle school students solving arithmetic problems with objective answers. In this context, models achieved near-human accuracy (95%, k = 0.90) but exhibited occasional errors that human educators would be unlikely to make. Experiment B evaluates 150 mathematical illustrations from American elementary students, where the drawings are the answer to the question. These tasks lack single objective answers and require sophisticated visual interpretation as well as pedagogical judgment in order to analyze and evaluate them. We attempted to separate MLLMs' visual capabilities from their pedagogical abilities by first asking them to grade the student illustrations directly, and then by augmenting the image with a detailed human description of the illustration. We found that when the models had to analyze the student illustrations directly, they struggled, achieving only k = 0.20 with ground truth scores, but when given human descriptions, their agreement levels improved dramatically to k = 0.47, which was in line with human-to-human agreement levels. This gap suggests MLLMs can "see" and interpret arithmetic work relatively well, but still struggle to "see" student mathematical illustrations.
Study at a glance
  • Question: How accurately can multimodal language models interpret and grade handwritten student mathematics calculations and student-drawn illustrations?
  • Setting and data: Ghanaian middle school students (288 responses) and American elementary students (150 illustrations from DrawEDU).
  • Method: Model benchmark evaluation across two experiments comparing image-only grading to vision-decomposed and human-description-enhanced grading.
Why it matters

Most elementary and middle school mathematics remains handwritten, providing valuable insights into learning processes. However, grading this work is extremely time-consuming, and research on multimodal models' ability to interpret authentic student work remains limited.

Key findings
  • On routine handwritten arithmetic, Gemini 2.5 Pro achieved near-human grading accuracy of 95% (kappa = 0.90), though models occasionally displayed non-human errors such as penalizing untidy steps.
  • On student-drawn mathematical illustrations, models achieved low agreement with human raters when inspecting images directly, reaching kappa scores between 0.15 and 0.38.
  • Providing human descriptions of the drawings improved model grading agreement to kappa = 0.43 to 0.47, matching initial human agreement but remaining below deployment thresholds.

Summary drafted with AI from the full paper and may contain errors. See the full paper for details.

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