基于数学建模思想的高等代数课程教学研究

摘要

探讨如何在高等代数中融入数学建模思想,通过增强其应用性,帮助学生更深刻的理解高等代数内容,使其认识到学习高等代数的重要性和必要性.但是,由于高等代数教学中所涉及的例子很少能与实际生活相联系,学生感到学习内容抽象,感受不到数学的应用价值,缺少学习的兴趣和动力.通过在教学中融入数学建模思想,对试验数据进行分析建模求解,将知识由抽象转化为直观形象的生活实例,由理论转化为应用,来增强学生学习高等代数的兴趣,提高教学质量及学生的数学素质,从而培养学生的创新思维意识及数学应用意识.%This paper discusses how to integrate mathematical modeling thoughts into advanced algebra teaching in order to help the students understand the content of advanced algebra more deeply.But the examples involving in the teaching of advanced algebra can rarely link to the real life,some student feel the learning content abstract and disconnect with the real.This can not reflect the application of mathematics.By integrating the mathematical modeling thoughts into teaching,we analyze experimental data and establish models.This can translate the abstract knowledge into intuitive image.In the way,we can cultivate the students' innovative thinking and mathematics application consciousness.At the same way,this can improve the quality of teaching and the mathematics quality of the students.