A Study on the Integration Strategies of Modern Mathematical Thoughts into Senior High School Mathematics Teaching

Feng Hanxiu, Qu Zhongfeng

School of Mathematical Sciences, University of Jinan

Abstract：

This paper systematically explores the strategies for the deep integration of modern mathematical ideas into senior high school mathematics teaching. Based on Felix Klein's "high standpoint" theory, the paper first analyzes the influence of modern mathematics on high school mathematics from three dimensions: algebraic structures, dynamic modeling, and discrete and fuzzy mathematics. Then it proposes integration strategies—idea permeation, method transfer, and technical visualization, and develops specific teaching case studies. The research indicates that integrating modern mathematical ideas into senior secondary instruction can cultivate the core mathematical literacy of students and facilitate a shift from "problem-solving" to "student development".

Key Words：

modern mathematical ideas; senior secondary mathematics teaching; core competencies; integration strategies