CAJ | 학술논문

结合教学实践和科研工作的体会，首先讨论了中国剩余定理证明，并将其推广到多项式形式，其次给出了其在多项式环和 IMO 竞赛中等方面的应用，最后在对研究性教学进行了深刻分析，为数学本科教学改革提供了若干有意义的参考。
결합교학실천화과연공작적체회，수선토론료중국잉여정리증명，병장기추엄도다항식형식，기차급출료기재다항식배화 IMO 경새중등방면적응용，최후재대연구성교학진행료심각분석，위수학본과교학개혁제공료약간유의의적삼고。
Combining teaching practice with research work experience,this paper firstly discusses two different kinds of proof of Chinese Remainder Theorem of elementary number theory. Secondly,it gives its polynomial form and some applications in polynomial ring and IMO. Finally,it analyzes the research - based teaching based on Chi-nese Remainder Theorem and provides some beneficial references for undergraduate mathematical teaching reform.