arXiv cs.CY· Igor' Kontorovich, Miriam N. Wallach·· 13 小时前AI 评分34
研究：学生用 LLM 完成数学作业，提交结果无法反映其是否真正动脑
What the submission does not show: Complexifying cognitive offloading in students' mathematical work with LLMs
AI 导读
一项追踪 23 名线性代数新生使用 LLM 完成三项作业的研究发现，429 条提示词形成五种结构，LLM 主要扮演求解者、解释者或验证者，15 名完成全部任务的学生中有 10 人改变了主导结构。多数最终提交内容与 LLM 输出高度接近，即便此前学生曾自行解释、猜想和验证。研究结论认为，LLM 辅助的提交结果不能可靠反映学生是否将数学工作外包，需按每个调控空间逐部分考察。
正文 · 原文
Abstract:A common concern is that using large language models (LLMs) lets students offload mathematical work that tasks are designed to elicit. Yet such claims often rest on outcomes (e.g., submitted solutions), rather than on evidence of students' work with LLMs. We followed 23 first-year linear algebra students as they solved three differently designed homework tasks with LLMs. Drawing on self-regulated learning and choice-affluent environments, we interpreted each of 429 prompts as a trace of a regulatory event and compared 59 chatlogs with the problem solutions the students submitted. Prompts formed five structures, casting the LLM mainly as a solver, explainer, or validator. The mix of structures shifted across the tasks, and ten of the 15 students who completed all three tasks changed their dominant structure. Most final submissions stayed close to LLM output, including those that followed exchanges in which students had explained, conjectured, and checked their own ideas. We conclude that an LLM-aided submission is not a trustworthy marker of students' offloading of the mathematical work, and that offloading needs to be examined in each regulatory space and part by part rather than as a whole.
| Comments: | 44 pages. Preprint under consideration at Digital Experiences in Mathematics Education; not peer reviewed |
| Subjects: | History and Overview (math.HO); Computers and Society (cs.CY) |
| MSC classes: | 97U50 (Primary), 97H60 (Secondary) |
| Cite as: | arXiv:2610.31335 [math.HO] |
| (or arXiv:2610.31335v1 [math.HO] for this version) | |
| https://doi.org/10.48550/arXiv.2610.31335 arXiv-issued DOI via DataCite (pending registration) |
Submission history
From: Igor' Kontorovich [view email]
[v1]
Thu, 22 Oct 2026 14:22:55 UTC (1,539 KB)
来源：arXiv cs.CY · arxiv.org