用六步流程让老师零代码生成可访问的数学互动可视化
Leveraging Generative AI to Design Accessible Interactive Visualizations for Undergraduate Mathematics: A Six-Phase Workflow
- 六阶段流程分步引导生成式AI构建工具
- 生成工具符合无障碍标准,数学正确性需人工验证
- 适合无编程基础的数学教师与学生使用
互动可视化有助于提升本科生对数学概念的理解,但传统制作需编程能力,多数教师难以胜任。本文采用设计研究方法,提出并评估了一个六阶段工作流程(基础、定制、数学深度、应用、可访问性、教学控制),利用生成式AI在无需编程的情况下构建符合WCAG 2.2 Level AA标准的可视化工具。该流程通过结构化提示词引导AI生成代码,并明确各阶段的人工验证节点。我们在微积分、多元微积分和微分方程领域部署了四个工具,评估其数学正确性(与闭式解对比)、可访问性(自动化检测与手动屏幕阅读器测试)及常见错误。结果表明,该流程可生成结构完整的初版工具,但每个阶段仍需人工检查数学准确性、可访问性与教学适配性。流程具有平台无关性,适用于教师与学生。
原文摘要 · Abstract (English)
Interactive visualizations support conceptual understanding in undergraduate mathematics, but building them has required programming expertise most instructors lack. Using a design-based research approach, we develop, deploy, and evaluate a six-phase workflow (Foundation, Customization, Mathematical Depth, Application, Accessibility, Pedagogical Control) that uses generative AI to build WCAG~2.2 Level~AA compliant visualizations without programming. The six phases structure every prompt, scaffold the AI's code generation, and define where human verification is applied. We ask whether the structure reliably yields correct and accessible tools, whether it runs both backward (reverse-engineering prompts from a finished tool) and forward (generating a tool from a plain-language idea), and what verification each phase requires. Across four deployed tools spanning calculus, multivariable calculus, and differential equations, we evaluate mathematical correctness against closed forms, accessibility through automated and manual screen-reader testing, and the errors that recurred. The structure produces structurally complete first-pass tools, but human verification remains mandatory at every phase: each output must be checked for mathematical correctness, accessibility, and pedagogical fit before the next phase begins. The workflow is platform-independent and serves both instructors and students.
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