1. So, rumination in mathematics learning is a key link in mathematics learning activities . But now it is a weak one among students. 因此反思性数学学习是数学学习活动的最重要的环节，但它是目前数学学习中最薄弱的一个环节。
2. There are three major hypotheses for rumination:the response styles theory, the goal-driven rumination and the self-regulatory executive function. 解释反刍思维的理论有反应风格理论、目标驱动反刍理论、自我调节的执行功能模型。
3. Verhaeghen's theory that rumination contributes to negative emotions generally sounds plausible and in some ways consistent with his own views, said Ketter. Ketter称，Verhaeghen关于深思导致负面情绪的理论大致上言之成理，也符合他自己的观点。
4. Soldiers with less depressive symptoms use more positive appraisal and adjustment and fewer acceptance and self-comfort, catastrophizing, self-blame and rumination. 抑郁组军人对接受与自我安慰、灾难化、自我负责和情绪专注的运用显著高于非抑郁组军人。
5. Women, meanwhile, might find that obsessively talking and fretting over issues, known as' co-rumination, 'can lead to emotional difficulties, including depression and anxiety. 而女性则可能会发现，喋喋不休、对事情抱怨不止，也就是所谓的“共同反思”可能会导致情绪问题，包括抑郁和焦虑。
