組合數(shù)學(xué)魅力淺析

——表格里的組合證明

打開文本圖片集

摘要：本文旨在通過表格里的組合證明讓學(xué)生們充分感受組合數(shù)學(xué)的魅力，激發(fā)學(xué)生對組合數(shù)學(xué)的選課熱情及學(xué)習(xí)興趣，最終達(dá)到良好的教學(xué)效果。

關(guān)鍵詞：組合數(shù)學(xué);組合證明;興趣教學(xué);啟發(fā)式教學(xué);教學(xué)效果

Analyses of the Charm of Combinatorics

——Combinatorial Proofs of the Tables

Hao XiaojianLing HaoZhang Kangqun

College of Science and Mathematics，Nanjing Institute of TechnologyJiangsuNanjing211167

Abstract：This paper is aim to achieve desirable teaching effects by arousing the students’ enthusiasm in choosing and learning combinatorial mathematics by means of demonstrating the charm of combinatorial mathematics through combinatorial proofs on tables.

Keywords：Combinatorics;combinatorial proof;interest-oriented teaching method;heuristic teaching method;teaching effect

組合數(shù)學(xué)又稱離散數(shù)學(xué)，是研究離散結(jié)構(gòu)的存在、計(jì)數(shù)、分析和優(yōu)化等問題的一門學(xué)科，其在群論、概率論、數(shù)理統(tǒng)計(jì)學(xué)、粒子物理學(xué)及計(jì)算機(jī)相關(guān)領(lǐng)域均有著重要的應(yīng)用。（剩余2663字）