Research on the Practice and Application of Modeling Ideas in Higher Vocational Mathematics Teaching

With the continuous deepening of educational reform, higher requirements have been put forward for higher vocational education. Higher vocational mathematics includes content such as advanced mathematics and linear algebra, which are highly abstract and difficult. Additionally, the teaching methods in higher vocational mathematics mainly focus on solving problems, which can easily lead students to mistakenly believe that the knowledge of vocational mathematics is only used to solve mathematical problems. As a result, students generally have a passive attitude towards learning subjects such as advanced mathematics and linear algebra. Vocational mathematics teaching should aim at cultivating students' core mathematical literacy and actively explore more scientific teaching models. Given the logical characteristics of mathematics, there are many commonalities with modeling ideas. Therefore, using this as a medium to help students develop modeling thinking can enhance the quality of vocational mathematics teaching. Thus, applying mathematical modeling ideas in vocational mathematics teaching plays a crucial role in promoting the reform of higher vocational mathematics teaching.