数智化背景下线性代数课程教学创新研究

中图分类号：G642 文献标志码：A 文章编号：2096-000X(2025)25-0063-04

Abstract:LinearAlgebraasa fundamental mathematicscourse，aims tocultivatestudents’abitytosolveproblemsusing linearmodelsandmatrixtheoryAddresingthepainpointsoftraditionalteaching-"notknowingitsuse,notmasteringits methods，andnotunderstandingitsprinciples"-theteachingteamadherestothephilosophyof"consolidatingfoundations, strengtheningapplications，andcontinuousimprovement."LeveragingdigitalplatfomsandAItols，theyimplementinovative reformsfeaturing"discipline-integratedmathematicsteaching，AI-augmentedteachingempowerment，andcognitiveenlightenment throughmathematicalaesthetics."Throughthe"threeintegrationthreestages，andthreelinkages"teachingapproach，an autonomousandinteractivelearningenvironmentisconstructed.Thisfostersstudentsscientificthinkingandinterdisciplinary awareness，enhancestheir"abilitytolearnandinnovate,"andachievesthedualgoalsof"impartingknowledgealongside cultivating virtues"while synergistically advancing academic and holistic development.

Keywords:Discipline-integratedmathematicsteaching;AI-augmentedteachingempowerment;Cognitiveenlightenmentthrough mathematical aesthetics; Linear Algebra; Knowledge graphs

在国家大力推进教育数字化转型和"新工科"建设的战略背景下，线性代数课程教学创新研究具有重要的时代意义。（剩余6995字）