Conclusion
The goal of this study was to develop a quantitative model that can predict whether middle school students can solve a mathematics problem without using any hints provided in the computer-based learning environment, based on how well they solved relevant problems in the past. Although providing instructional scaffolding is critical in facilitating student learning (Koedinger and Aleven, 2007), most computer-based learning environments are using simple heuristics or relying on students when they determine whether or not instructional scaffolding needs to be provided, which is unlikely to maximize the learning outcome of students. The findings from this study may suggest that the regularized logistic regression can be used in building a quantitative model of problem solving performance of students that can help determine when to provide instructional supports and guidance to students with different abilities in the computer-based learning environment.