剖析翻折链环 跃升多解思维
Analysis of reflection chain rings elevating multi-solution thinking
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| DOI |
10.12208/j.aam.20250018 |
| 刊名 |
Advances in International Applied Mathematics
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| 年，卷(期) |
2025, 7(2) |
| 作者 |
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| 作者单位 |
1 扬州大学数学科学学院 江苏扬州
2 苏州工业园区东沙湖小学 江苏苏州
|
| 摘要 |
翻折变换是初中几何的核心载体，对发展学生空间观念与逻辑推理能力具有关键价值.本文以一道中考双重翻折几何问题为研究对象，通过系统剖析多元解法的思维路径，揭示几何知识网络的内在关联，为培养学生直观想象、逻辑推理等核心素养提供实践支撑，推动几何思维的进阶发展.
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| Abstract |
Folding transformation is a core component of middle school geometry, playing a critical role in developing students’ spatial awareness and logical reasoning skills. This study examines a geometric problem involving double folding from a secondary school entrance exam. By systematically analyzing the thought processes underlying diverse solutions, it reveals the intrinsic connections within geometric knowledge networks. The paper provides practical support for cultivating key competencies such as intuitive imagination and logical reasoning while promoting the advanced development of geometric thinking.
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| 关键词 |
翻折变换；几何问题；一题多解；核心素养
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| KeyWord |
Folding transformation; Geometric problem; Multiple solutions; Key competencies
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| 基金项目 |
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| 页码 |
62-68 |
潘思源*.
剖析翻折链环 跃升多解思维 [J].
国际应用数学进展.
2025; 7; (2).
62 - 68.