融合两种方法,精准诊断学生解题步骤中的错误。
Combining model tracing and constraint-based modeling for multistep strategy diagnoses
- 将模型追踪与约束建模结合,识别连续或合并的解题步骤
- 在2136个解题步骤中实现100%与教师判断一致
- 适合教育技术、智能辅导系统研究者使用
模型追踪和基于约束的建模是诊断分步任务中学生输入的两种方法。模型追踪能识别学生连续采取的解题步骤,而基于约束的建模可在多个步骤合并为一步时仍进行诊断。本文提出一种融合两种范式的方法:将约束定义为学生输入与策略中某一步骤共有的属性,从而在学生偏离策略时(即使合并多步)也能提供诊断。本研究设计并评估了多步策略诊断系统。以一个包含2136个学生解二次方程步骤的现有数据集为例进行验证。为对比人工诊断,两名教师对随机抽样的70个偏离步骤和70个策略应用步骤进行了编码。结果显示,系统诊断与教师编码在全部140个学生步骤上完全一致。
原文摘要 · Abstract (English)
Model tracing and constraint-based modeling are two approaches to diagnose student input in stepwise tasks. Model tracing supports identifying consecutive problem-solving steps taken by a student, whereas constraint-based modeling supports student input diagnosis even when several steps are combined into one step. We propose an approach that merges both paradigms. By defining constraints as properties that a student input has in common with a step of a strategy, it is possible to provide a diagnosis when a student deviates from a strategy even when the student combines several steps. In this study we explore the design of a system for multistep strategy diagnoses, and evaluate these diagnoses. As a proof of concept, we generate diagnoses for an existing dataset containing steps students take when solving quadratic equations (n=2136). To compare with human diagnoses, two teachers coded a random sample of deviations (n=70) and applications of the strategy (n=70). Results show that that the system diagnosis aligned with the teacher coding in all of the 140 student steps.
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