This study is the extension of our previous visualizing study on the commognition processes in computer-supported one-to-one tutoring. With the help of the scale of commognitive responsibility score, we found that the main triggers of the commognition process shift are the positive transfer of knowledge and cognitive conflict. On the basis of…

To improve mathematics achievement, students' errors should be treated as a source to stimulate their understanding of the conceptual and procedural basis of their errors. The study investigated 20 Chinese and 20 U.S. high school teachers' interpretations and responses to a student's errors in solving a quadratic equation. The teachers' responses…

The treatment of errors in mathematics classrooms has gained attention in recent years, with many researchers suggesting that errors should be used as starting points for student inquiry into mathematics. In the study reported in this article, we examined how teachers used discourse around errors to generate inquiry by looking at the treatment of…