摘要翻译：
计算机支持的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。本文讨论了一种新的用于教材式数学证明教学的智能教学系统的开发方法。我们描述了该领域的特殊性，并讨论了常见的ITS设计模型。我们的方法是由在绿野仙踪实验中收集的教程对话语料库中发现的现象所激发的。我们展示了如何通过重用最初为自动化和交互式定理证明开发的表示和证明搜索策略，在自适应断言级证明助手的基础上构建教科书式数学证明的智能导师。结果原型在一个教程对话语料库上得到了成功的评估，并产生了良好的结果。
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英文标题：
《Towards an Intelligent Tutor for Mathematical Proofs》
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作者：
Serge Autexier (German Research Center for Artificial Intelligence
  (DFKI), Bremen, Germany), Dominik Dietrich (German Research Center for
  Artificial Intelligence (DFKI), Bremen, Germany), Marvin Schiller (Brunel
  University, London, UK)
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最新提交年份：
2012
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分类信息：

一级分类：Computer Science        计算机科学
二级分类：Artificial Intelligence        人工智能
分类描述：Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域，除了视觉、机器人、机器学习、多智能体系统以及计算和语言（自然语言处理），这些领域有独立的学科领域。特别地，包括专家系统，定理证明（尽管这可能与计算机科学中的逻辑重叠），知识表示，规划，和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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一级分类：Computer Science        计算机科学
二级分类：Logic in Computer Science        计算机科学中的逻辑
分类描述：Covers all aspects of logic in computer science, including finite model theory, logics of programs, modal logic, and program verification. Programming language semantics should have Programming Languages as the primary subject area. Roughly includes material in ACM Subject Classes D.2.4, F.3.1, F.4.0, F.4.1, and F.4.2; some material in F.4.3 (formal languages) may also be appropriate here, although Computational Complexity is typically the more appropriate subject area.
涵盖计算机科学中逻辑的所有方面，包括有限模型理论，程序逻辑，模态逻辑和程序验证。程序设计语言语义学应该把程序设计语言作为主要的学科领域。大致包括ACM学科类D.2.4、F.3.1、F.4.0、F.4.1和F.4.2中的材料；F.4.3（形式语言）中的一些材料在这里也可能是合适的，尽管计算复杂性通常是更合适的主题领域。
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一级分类：Computer Science        计算机科学
二级分类：Mathematical Software        数学软件
分类描述：Roughly includes material in ACM Subject Class G.4.
大致包括ACM学科类G.4的材料。
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一级分类：Computer Science        计算机科学
二级分类：Symbolic Computation        符号计算
分类描述：Roughly includes material in ACM Subject Class I.1.
大致包括ACM学科第一类1的材料。
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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.
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PDF链接：
https://arxiv.org/pdf/1202.4828