基于Galois理论的抽象代数本科教学改革和研究

Teaching Reform and Research of the Course on Abstract Algebra Based on Galois Theory

以Galois理论为导向,对数学与应用数学本科专业的抽象代数课程进行教学改革,在更高的理论框架下展现课程主体知识的关联和延伸,使学生进一步明确课程目标、激发兴趣以及拓宽视野,提高学生学习动力和提升教学效果,使学习更有深度、广度和宽度。

Based on Galois theory,teaching reform on the undergraduated course on Abstract Algebra of mathematics and applied mathematics major is proposed.Guided by a deeper theoretical framework,the relationship and generalization of the major knowledge points in the course are shown.This reform can make students'learning objectives clearer,stimulate students'learning interest,expand the knowledge scope,improve their learning motivation and the effect of teaching.