This is an innovative research on AI-empowered project-based teaching reform of "Advanced Mathematics"

Abstract

The development of artificial intelligence technology provides a new technological path for the teaching reform of project-based learning in Advanced Mathematics. This research focuses on the theoretical reconstruction and mechanism design of AI-empowered project-based teaching in Advanced Mathematics, and it carries out discussions from three levels. At the theoretical level, this research analyzes the intelligent transformation characteristics of project-based teaching in Advanced Mathematics, explains the mechanism of AI embedding into mathematical cognitive construction, and constructs a framework for a human-machine collaborative learning ecosystem. At the mechanism level, this research establishes a semantic association model between knowledge units and project themes, designs a difficulty adaptive adjustment strategy based on student performance data, and forms an intelligent matching path between multimodal resources and project tasks. At the intervention level, this research realizes the tracking and representation of mathematical thinking trajectories, establishes an automatic identification mechanism for reasoning obstacles, and forms a closed-loop system for personalized scaffolding delivery and optimization of inquiry depth. This research aims to promote the paradigm shift of project-based teaching in Advanced Mathematics from experience-driven to data-driven.