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The relationship between mental computation and relational thinking in the seventh grade

机译:七年级心理计算与关系思维的关系

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Relational thinking involves understanding equivalence and numerical relationships. The present study examined?the relational thinking of seventh graders before and after a 15-day mental mathematics intervention in the context of whole number arithmetic. Using two intact seventh-grade classes and a staggered treatment design, students were assessed at three time points on their (a) ability to solve equivalence problems, and (b) reasoning abilities about true–false number sentences. The results indicated that the students in the class that received the intervention first (the Intervention First group) improved their performance on both measures after the intervention, and a similar pattern was found for the second class (the Intervention Second group), indicating that each group improved immediately following the mental mathematics intervention. Students in the Intervention First group were able to maintain their scores on the test of equivalence problems 4?weeks after the conclusion of the intervention. As the results suggest a link between mental mathematics and relational thinking, it is recommended that mental mathematics play a more prominent role in the seventh-grade mathematics classroom.
机译:关系思维涉及对等价关系和数值关系的理解。本研究探讨了在整数算术背景下进行15天心理数学干预前后七年级学生的关系思维。通过使用两个完整的七年级课程和交错的治疗设计,在三个时间点对学生进行了以下评估:(a)解决对等问题的能力,以及(b)关于真假数字句子的推理能力。结果表明,在干预之后,首先接受干预的班级学生(干预第一组)在两种措施上的表现均得到改善,第二堂课(干预第二组)的学生也发现了类似的模式,表明每个心理数学干预后,小组立即得到改善。干预结束后4周,干预第一组的学生能够在对等问题的测试中保持得分。由于研究结果表明心理数学和关系思维之间存在联系,因此建议在七年级数学课堂中心理数学发挥更重要的作用。

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