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A student explains equivalent fraction bars to a listening teacher and classmate, with a tablet set aside.
학회 논문Conference paper20252026년 10월 11일· 9 min

Nonstandard English and the Automated Scoring of Open-Ended Math Problems

Abubakir Siedahmed, Jaclyn Ocumpaugh, Zelda Ferris, Dinesh Kodwani, Neil Heffernan, Eamon Worden

Proceedings of the 18th International Conference on Educational Data Mining

500단어 요약

A student explains equivalent fraction bars to a listening teacher and classmate, with a tablet set aside.

An open-ended mathematics answer should be judged for its reasoning, without an irrelevant penalty for the variety of English a learner uses. An Educational Data Mining paper examines this problem with authentic student responses and GPT-4o. Its results reveal sensitivity to the grading prompt, but they do not provide a simple verdict that the model is either biased or fair across language varieties.

Abubakir Siedahmed and colleagues selected responses from ASSISTments containing four grammatical features associated with African American Vernacular English: negative concord, subject-verb agreement leveling, preterit done, and habitual be. After cleaning and expert checking, the analysis included 394 responses across 349 mathematics problems from seventy-five schools. These features can also occur in other varieties of English. Individual student demographics were unavailable, so the study cannot identify the race or dialect identity of each response's author.

For each original response, the researchers constructed a comparison version by standardizing the targeted grammatical feature. This is a paired text comparison, not a comparison between separate groups of students. Other dialect features, spelling differences, or incomplete phrasing could remain in both versions. Preserving most of the original response helps keep the mathematical content comparable, but it also means that the comparison is not between fully standardized and wholly dialectal language.

The model scored both versions using two prompts and several temperature settings. One prompt gave grading instructions without referring to dialect. The other explicitly asked the model to treat standard English and dialect varieties equally. The principal paired comparisons found no significant difference between the original and modified responses under either prompt. That result does not establish equivalence or comprehensive fairness; the manipulation was limited, and some linguistic categories had relatively few examples.

Changing the prompt raised scores for both text versions. The reported mean increase was 0.34 points for original responses and 0.26 points for the comparison responses on the zero-to-four scale. However, the published prompts contain another difference that matters to interpretation: the highest-score criterion in the first prompt required a complete explanation or justification, while the second omitted that phrase. Our reading of the displayed prompt table therefore identifies a possible scoring-rule confound. The observed increase cannot be cleanly attributed to the instruction about dialect alone.

For assessment teams, the useful lesson is methodological. A test of language-related scoring should hold the mathematical rubric constant, preserve the intended meaning of paired answers, and compare model decisions with careful human judgments. Raising scores is not automatically improving fairness or accuracy. An evaluation also needs to identify whether correct reasoning is recognized and whether the system applies the same substantive expectations across ways of expressing it.

The study opens a valuable line of inquiry in content assessment, beyond the more familiar case of essay grading. Its scope remains one model, selected linguistic features, and a restricted sample of mathematics responses. It did not measure learning gains or validate an operational grading policy. The paper's contribution is to make language variation and prompt sensitivity visible in a domain where educators might otherwise assume that only the mathematics matters.

관련 논문

작문 강사와 두 명의 대학 학습자가 개정 우선 순위 변경 간의 제한된 시각적 연결을 통해 큰 세미나 테이블에서 연속적으로 주석이 달린 단락 초안을 비교합니다.
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학술대회 논문: FeedType이 글의 수정 단계에 따른 AI 피드백 초점의 변화를 살피다

Norah Almousa, Shayan Peyghambari Oskoui, Raquel Coelho, Gayle Rogers, Xiang Lorraine Li, Diane Litman

Proceedings of the Artificial Intelligence in Measurement and Education Conference (AIME-Con): Full Papers

FeedType은 대학 글쓰기 강좌, 여섯 언어 모델, 세 가지 프롬프트 전략에서 피드백의 초점을 비교한다. 모델은 여러 범주를 다뤘지만 분포와 조정 양상이 교사와 완전히 일치하지는 않았다. 이 연구는 피드백 행동을 점검할 벤치마크를 제공하며 학생의 글쓰기 향상을 입증하지는 않는다.

글쓰기 피드백교육적 적응성FeedType
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A South Asian female lecturer and a White male university student examine two differently annotated statistics feedback sheets beside a hand-drawn confidence-interval diagram
저널 논문2026
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Students’ feedback ratings reflected source credibility without consistently matching expert judgments

Tanya Nazaretsky, Hagit Gabbay, Tanja Käser

Computers and Education: Artificial Intelligence

Researchers compared human and AI feedback on 979 responses from six university STEM courses, then examined ratings from 472 students. Expert analysis found broadly similar pedagogical quality, while students’ judgments were associated with their views of the source’s credibility. The study did not measure feedback uptake or learning gains. For educators, it raises a practical question: how can students justify an evaluation of advice before deciding whether to use it?

feedback literacysource credibilityhigher education
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A mathematics lecturer and peer discuss a university student's induction proof beside a laptop showing feedback on the next step.
학회 논문2026
학회 논문 206

LeanTutor: Towards a Verified AI Mathematical Proof Tutor

Manooshree Patel, Rayna Bhattacharyya, Thomas Lu, Arnav Mehta, Niels Voss, Narges Norouzi, Gireeja Ranade

Proceedings of the AAAI Conference on Artificial Intelligence

LeanTutor connects a language model to the Lean theorem prover to support mathematical proof feedback. Its technical evaluation shows promising hints on a small selected benchmark, but also exposes a crucial boundary: a verifier can check the formal proof only after the learner's words have been translated correctly. The study did not test classroom learning, and feedback evaluation excluded failed translations. It is an early system design with explicit limitations, not a validated replacement for mathematics instruction.

Mathematics EducationIntelligent TutoringFormal Verification
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