Self-explanation training improves proof comprehension

Self-explanation training improves proof comprehension
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自我解释训练提高了证明理解力

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
M. Inglis
M. Inglis
中科院分区:
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文献类型:
--
作者:
M. Hodds;L. Alcock;M. Inglis

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在本文中,我们报告了三个实验,证明了一个简单的小册子包含自我解释, 培训,旨在将学生的注意力集中在逻辑关系中, 数学证明,可以显着提高他们的证明理解。实验1 表明接受培训的学生产生更高质量的解释, 在理解测试中表现更好(效应量d = 0.950)。实验2证明 自我解释训练提高了学生的认知参与度和 让他们的注意力转移到证明上实验3表明,15- 一分钟的课内自学干预提高了学生的证明理解能力, 这种效果会随着时间的推移而持续。因此,我们认为,“过渡到证明”课程应该 包括自我解释训练。
In this paper we report three experiments demonstrating that a simple booklet containing self explanation training, designed to focus students’ attention on logical relationships within a mathematical proof, can significantly improve their proof comprehension. Experiment 1 demonstrates that students who receive the training generate higher quality explanations and perform better (effect size d = 0.950) on a comprehension test. Experiment 2 demonstrates that self-explanation training increases students’ cognitive engagement and the frequency with which they move their attention around a proof. Experiment 3 demonstrates that a 15- minute in-lecture self-study intervention improves students’ proof comprehension, and that the effect persists over time. Thus we argue that ‘transition to proof’ courses should incorporate self-explanation training.
DOI: --
发表时间: 2017
影响因子: 6.3
作者:
M. Just;P. Carpenter
通讯作者: M. Just;P. Carpenter