脚手架写作调试：初等实分析中证明写作的三阶段方法
Scaffold Write Debug: A Three-Stage Approach to Proof Writing in Introductory Real Analysis
- Department of Mathematics, University of Florida（佛罗里达大学数学系）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出一种三阶段教学法（脚手架写作调试），通过引导完成、独立写作和错误分析，帮助初等实分析学生掌握证明结构、增强信心并提升阅读严谨性。
AI中文摘要：
本文描述了脚手架写作调试法，这是一种在初等实分析课程中使用的三阶段教学方法，旨在支持学生学习数学证明。该方法结合了引导式证明完成、独立证明写作以及对错误证明的分析与纠正。其目标是帮助学生理解证明结构，培养写作证明的信心，并成为更仔细的数学论证读者。本文展示了课堂实例、教师观察和学生反馈，并讨论了如何将该方法融入基于证明的课程中。
英文摘要：
This article describes Scaffold Write Debug, a three-stage instructional approach used in an introductory real analysis course to support students learning mathematical proof. The approach combines guided proof completion, independent proof writing, and the analysis and correction of faulty proofs. The goal is to help students understand proof structure, develop confidence in writing proofs, and become more careful readers of mathematical arguments. The paper presents classroom examples, instructor observations, and student responses, and discusses how the approach can be incorporated into a proof-based course.
