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数目从此着色了 ——关于基础数学教学的思考

The Numbers are now Colored — Thinking About the Teaching of Basic Mathematics

理论数学前沿 / 2022,4(3)：103-126 / 2022-10-28 483 457

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• 作者： 钱进     
• 单位：

  中南财经政法大学，武汉
  

• 关键词： “时代终结”；哥德巴赫猜想；六类数平面；数目着色；核含两半；无穷无漏
• “End of era”; Goldbach’s conjecture; Six-type number plane; Number coloring; Kernel containing two halves; Infinite no leaks
• 摘要： 本文公布加拿大华人王迎旭的两篇论文证明了“哥德巴赫”和“孪生素数”猜想，一个时代终结。“数分六类，核含两半”的基本事实，令传统的数论问题简化，对上两文亦有精简作用；继续证实“万数”“同而不和”，细微差异加上“无穷无漏”的特性，使得素数如此特别。用彩色表示6 类不同的数字，印刷或显示都简洁便利，将随时需要，从此数目着色了。于是思考：立即把这些证明，补充“民间数学家”积累的成果，加以凝聚、提炼、活化，更换现今基础数学的教学，推陈出新，节约资源，节省时间。
• This article publishes two papers by Chinese Canadian Wang Yingxu proving the “Goldbach conjecture” and “twin prime number” conjectures, the end of an era. The basic fact that “numbers are divided into six categories, and the core contains two halves” simplifies traditional number theory problems, and also has a simplification effect on the above two articles. Continue to prove that “thousands” are “same but not harmonious”, and the subtle differences plus the “infinite and leak-free” characteristics make prime numbers so special. Use color to represent 6 different numbers, printing or display are simple and convenient, will be needed at any time, and the numbers have been colored from then on. So I thought: Immediately use these proofs to supplement the achievements accumulated by “folk mathematicians”, condense, refine, and activate them to replace the current teaching of basic mathematics, innovate, save resources, and save time.
• DOI： https://doi.org/10.35534/tms.0403011
• 引用： 钱进．数目从此着色了——关于基础数学教学的思考［J］．理论数学前沿，2022，4（3）：103-126．