Research on the Theoretical Construction and Practical Path of Cultivating Top Notch Innovative Talents from the Perspective of Mathematics

Abstract

The cultivation of top-notch innovative talents is the core task of the strategy of building a strong education country in the new era. This article takes mathematics as a carrier and combines cognitive development theory, innovation ecosystem theory, and international experience to systematically explore the core characteristics, training difficulties, and breakthrough paths of top-notch innovative talents. By using case analysis and comparative research methods, a three-dimensional training framework based on “differentiated curriculum system project-based learning mode mentorship support network” is proposed. Research has found that the logical abstraction and problem-solving orientation of mathematics can effectively stimulate innovative thinking, but paradigm innovation needs to be achieved through dynamic selection mechanisms, interdisciplinary integration, and evaluation system reforms. This study provides theoretical support and practical reference for the cultivation of top talents in mathematics and related fields.