Feedback levels and their interaction with the mathematical reasoning process

Robbert Smit, Patricia Bachmann, Heidi Dober, K. Hess
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Abstract

In our multi‐method study, feedback levels derived from the well‐known feedback model of Hattie and Timperley were used in conjunction with feedback that was related to subject‐specific content; here, mathematical reasoning tasks in primary school. Feedback needs to be aligned with the learning process; in the beginning, more task feedback is valuable. Based on the analyses of videos and questionnaires of 44 teachers of 5th‐ and 6th‐grade primary school classes (N = 804), we demonstrated that feedback for finding an approach and operationalisation were related to feedback on the task. We further showed that feedback at the task level predicted students' achievement in mathematical reasoning via students' interest in mathematics. It might be concluded that the four levels of feedback should be applied by teachers in such a way that they focus on the current problem that is occurring while the student is solving a task.
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反馈水平及其与数学推理过程的相互作用
在我们的多方法研究中,来自Hattie和Timperley的著名反馈模型的反馈水平与与主题特定内容相关的反馈结合使用;这里,小学数学推理任务。反馈需要与学习过程保持一致;一开始,更多的任务反馈是有价值的。基于对44名小学五年级和六年级教师(N = 804)的视频和问卷分析,我们证明了寻找方法和操作化的反馈与任务反馈有关。我们进一步发现,任务层面的反馈通过学生对数学的兴趣来预测学生在数学推理方面的成就。可以得出结论,教师应该以这样一种方式应用四个层次的反馈,即他们专注于学生解决任务时正在发生的当前问题。
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