arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1202.4828cs.AIcs.LOcs.MScs.SC
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数学证明智能辅导员的培养

Towards an Intelligent Tutor for Mathematical Proofs

German Research Center for Artificial Intelligence (DFKI)(德国人工智能研究中心);Brunel University(布鲁内尔大学)

Serge Autexier, Dominik Dietrich, Marvin Schiller

摘要:

计算机辅助学习是一种越来越重要的学习形式,因为它允许独立学习和个性化教学。在本文中,我们讨论了一种新的方法来开发一个智能教学系统的教科书式的数学证明。我们的特点域的特殊性,并讨论常见的ITS设计模型。我们的方法是出于现象中发现的语料库中的教程对话,收集在绿野仙踪实验。我们将展示如何建立一个智能导师的教科书式的数学证明上的自适应断言级证明助手重用的表示和证明搜索策略最初开发的自动化和交互式定理证明。由此产生的原型是成功地评估语料库的教程对话框,并产生良好的效果。

英文摘要:

Computer-supported learning is an increasingly important form of study since it allows for independent learning and individualized instruction. In this paper, we discuss a novel approach to developing an intelligent tutoring system for teaching textbook-style mathematical proofs. We characterize the particularities of the domain and discuss common ITS design models. Our approach is motivated by phenomena found in a corpus of tutorial dialogs that were collected in a Wizard-of-Oz experiment. We show how an intelligent tutor for textbook-style mathematical proofs can be built on top of an adapted assertion-level proof assistant by reusing representations and proof search strategies originally developed for automated and interactive theorem proving. The resulting prototype was successfully evaluated on a corpus of tutorial dialogs and yields good results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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