高等代数可视化模型构建与应用

Construction and Application of Visualization Models for Advanced Algebra

摘要: 高等代数课程由于其理论性强和抽象的特点，在教与学方面都有较大难度，为了淡化高等代数教学中的抽象性，本文从概念、理论和应用的角度出发，分析可视化策略在高等代数教学中的作用，通过抽象概念形象化、计算过程动态化、专业案例可视化和前沿应用可视化四个方面，分析如何有效提高学生的学习兴趣以及培养学生的代数思维和创新思维，并通过可视化策略的实施，进一步提升教师的教学能力。

Abstract: Due to its strong theoretical and abstract characteristics, higher algebra courses are difficult to teach and learn. In order to dilute the abstractness of higher algebra teaching, this paper analyzes the role of visual strategies in higher algebra teaching from the perspectives of concept, theory and application. Through the four aspects of abstract concept dynamic, calculation process visualization, professional case visualization and frontier application visualization, this paper analyzes how to effectively improve students’ learning interest and cultivate students’ algebraic thinking and innovative thinking, and further improve teachers’ teaching ability through the implementation of visualization strategies.