将学习诊断转化为精准干预,实现教师可控的个性化教学闭环。
Making Evidence Actionable in Adaptive Learning Closing the Diagnostic Pedagogical Loop
- 构建三重保障机制:覆盖、时间预算与资源多样性。
- 在1204名学生中实现近全覆盖,冗余率降低12个百分点。
- 适合需要公平性与负载感知的课堂级自适应教学系统。
自适应学习常能精准诊断问题却难以有效干预,导致帮助时机不当或与需求脱节。本研究提出一种由教师管控的反馈闭环,将概念级评估证据转化为经验证的微干预措施。算法包含三项保障:充分性(确保知识点补全)、注意力(控制时间和冗余)和多样性(防止过度依赖单一资源)。干预分配被建模为带约束的二元整数规划,涵盖覆盖率、时间、难度窗口(基于能力估计)、先修关系(由概念矩阵编码)及防冗余多样性。在资源丰富场景使用梯度松弛法,在低资源高时效场景采用贪心策略,混合方法沿资源-延迟边界切换。模拟与1204名学生的大学物理教学部署均表明,两种求解器均在有限观看时间内近乎实现全员技能覆盖。梯度法相较贪心减少约12个百分点冗余,难度匹配更一致;贪心则在资源受限时以更低计算成本保持相当充分性。松弛变量定位缺失内容,指导定向内容补充,维持各学生子群体的充足供给。最终形成可计算、可审计的控制器,闭环诊断教学过程,支持课堂规模下的公平、负载感知个性化。
原文摘要 · Abstract (English)
Adaptive learning often diagnoses precisely yet intervenes weakly, producing help that is mistimed or misaligned. This study presents evidence supporting an instructor-governed feedback loop that converts concept-level assessment evidence into vetted microinterventions. The adaptive learning algorithm includes three safeguards: adequacy as a hard guarantee of gap closure, attention as a budgeted limit for time and redundancy, and diversity as protection against overfitting to a single resource. We formulate intervention assignment as a binary integer program with constraints for coverage, time, difficulty windows derived from ability estimates, prerequisites encoded by a concept matrix, and anti-redundancy with diversity. Greedy selection serves low-richness and tight-latency settings, gradient-based relaxation serves rich repositories, and a hybrid switches along a richness-latency frontier. In simulation and in an introductory physics deployment with 1204 students, both solvers achieved full skill coverage for nearly all learners within bounded watch time. The gradient-based method reduced redundant coverage by about 12 percentage points relative to greedy and produced more consistent difficulty alignment, while greedy delivered comparable adequacy at lower computational cost in resource-scarce environments. Slack variables localized missing content and guided targeted curation, sustaining sufficiency across student subgroups. The result is a tractable and auditable controller that closes the diagnostic pedagogical loop and enables equitable, load-aware personalization at the classroom scale.
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