A Study on the Application of Problem-Driven Teaching Mode in College Mathematics Classroom Teaching

Abstract

As a core course with both foundational and logical attributes in higher education, college mathematics shoulders the important task of cultivating students’ logical thinking, abstract reasoning and mathematical application abilities. Traditional college mathematics teaching is dominated by theoretical instilling, formula derivation and example explanation, featuring a rigid and monotonous process that fails to motivate students’ initiative in thinking and inquiry, and cannot meet the training goals of applied and innovative talents in the new era. The problem-driven teaching mode, with real problems, disciplinary problems and inquiry-oriented problems as the core, breaks the barrier of one-way knowledge transmission and turns classroom learning into a complete thinking process of problem discovery, analysis, solution and verification. Based on the reality of college mathematics teaching, this paper explores the implementation paths and application strategies of the problem-driven mode, sorts out existing problems in practice and puts forward optimization ideas, so as to provide references for improving teaching effectiveness, shaping students’ mathematical core literacy and promoting the reform of college mathematics teaching.