Integration of Mathematics Culture and Mathematics Teaching in High School under the View of Flipped Classroom

The new curriculum standard suggests that mathematics culture should be integrated into mathematics teaching activities. With the support of information technology, how to better integrate mathematics culture and cultivate students' mathematics cultural literacy has attracted much attention. This paper applies theoretical research methods to explore the combination of mathematical culture with the flipped classroom for teaching mathematical culture. On the basis of clarifying the connotation and characteristics of both mathematics culture and the flipped classroom, and analyzing the current situation of mathematics culture teaching and flipped classroom teaching in high schools, this paper proposes strategies for integrating mathematics culture into high school mathematics teaching within the flipped classroom framework: 1. Creating high-quality microvideos for mathematics culture teaching; 2. Clearly defining students' objectives and tasks for independent pre-class learning; 3. Selecting teaching methods judiciously for effective in-class instruction; 4. Enhancing teachers' own mathematics cultural literacy through reflective evaluation. Through the above strategies, high-quality teaching micro-videos enhance students' interest in learning and their independent learning abilities. Clear independent learning objectives and tasks can effectively improve students' learning efficiency and help them construct their own knowledge. Appropriate teaching methods can stimulate students' interest in learning and improve the effectiveness of classroom assessments. With the help of the flipped classroom as a teaching mode, it can assist teachers and students in adjusting and improving their teaching and learning processes, and create a more interesting, diversified, and open learning environment. This environment fosters a deeper appreciation for mathematical culture among students. The aim is to better integrate mathematics culture knowledge and enhance students' mathematical literacy in personalized teaching.