Fractional Differential Equations in the Model of Vocational Education and Teaching Practice Environment

Abstract

This article introduces the development history of fractional calculus and expounds on the positive significance of fractional calculus in integrating higher mathematics teaching. The author introduces an ordinary differential equation model case appropriately. In this way, ordinary differential equations play an important role in improving college students' mathematical thinking ability and mathematical application ability.

Building a Smart Ecological Education in the AI Era

“…With the development of network technology, the convenience and flexibility of smart education have made it right to meet the needs of teachers' professional development [8]. as "human-computer co-teaching" becomes the norm, teachers should recognize the transform role of artificial intelligence in knowledge-based teaching and focus on aspects such as learning design, incentive, and emotional communication with students [9].…”