arXiv:2505.04677cs.LOcs.AI2025-05

推动数学教育从直觉到形式化,用定理证明技术构建教学软件

Proceedings The 13th International Workshop on Theorem proving components for Educational software

  • 融合定理证明技术与教育场景,支持中学到理工科数学的过渡
  • 收录8篇经评审的论文,涵盖自动推理与教育应用
  • 适合计算机科学、数学教育及教育技术研究者参考

ThEdu系列致力于实现从中学阶段直观数学到理工科领域形式化数学的平滑过渡,并通过定理证明技术赋能教育软件支持。本文为第13届国际定理证明组件教育软件研讨会(ThEdu'24)的会议论文集介绍。该研讨会是CADE29、IJCAR 2024的卫星会议,于法国南锡举行。会议设有杰里米·阿维加德(卡内基梅隆大学)的特邀报告,共接收14篇投稿,另通过公开征稿收到9篇,经评审后录用8篇。本卷论文全面呈现ThEdu领域的多元方向:既有侧重自动推理研究的成果,也包含定理证明工具在教育场景中的实际应用。编者希望本论文集能促进基于定理证明的教育软件发展,并增进计算机科学家、数学家与教育界利益相关方之间的理解。目前,下一届研讨会ThEdu'25正在筹备中,将于2025年7月28日至8月2日在德国斯图加特举行,作为第30届国际自动化定理证明会议(CADE-30)的卫星会议。

原文摘要 · Abstract (English)

The ThEdu series pursues the smooth transition from an intuitive way of doing mathematics at secondary school to a more formal approach to the subject in STEM education while favoring software support for this transition by exploiting the power of theorem-proving technologies. What follows is a brief description of how the present volume contributes to this enterprise. The 13th International Workshop on Theorem Proving Components for Educational Software (ThEdu'24), was a satellite event of the CADE29, part of IJCAR 2024, Nancy, France. ThEdu'24 was a vibrant workshop, with one invited talk by Jeremy Avigad (Carnegie Mellon University) and 14 submitted talks. An open call for papers was then issued and attracted 9 submissions. Eight of those submissions have been accepted by our reviewers. The resulting revised papers are collected in the present volume. The contributions in this volume are a faithful representation of the wide spectrum of ThEdu, ranging from those more focused on the automated deduction research, not losing track of the possible applications in an educational setting, to those focused on the applications, in educational settings, of automated deduction tools and methods. We, the volume editors, hope that this collection of papers will further promote the development of theorem-proving-based software and that it will allow to improve the mutual understanding between computer scientists, mathematicians, and stakeholders in education. While this volume goes to press, the next edition of the ThEdu workshop is being prepared: ThEdu'25 will be a satellite event of the 30th international Conference on Automated DEduction (CADE-30), July 28th - August 2nd, 2025, Stuttgart, Germany.

教育软件定理证明数学教育自动推理

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