基于BOPPPS模式的高等数学课堂学生参与度研究

A Study on Students’ Engagement in Higher Mathematics Classes Based on the BOPPPS Model

摘要: 针对高等数学课堂学生参与度不足的问题，研究基于BOPPPS教学模式，以微分方程章节(传染病SIR模型)为例，设计了系统化的参与式教学策略。通过“导言(情境导入)→目标(明确预期)→前测(诊断起点)→参与式学习(主动探究)→后测(即时反馈)→总结(知识升华)”的闭环设计，结合真实案例，运用DeepSeek，豆包等AI工具辅助教学，显著提升了学生的课堂参与度。实践表明，实验组在行为参与和认知参与方面均优于传统教学组。该模式为高等数学教学改革提供了可复制的实践框架，有效实现了“知识传授”向“能力培养”的转型。

Abstract: To address the issue of insufficient student engagement in advanced mathematics classrooms, we design a systematic participatory teaching strategy based on the BOPPPS teaching model, and take the differential equations chapter (SIR model for infectious diseases) as an example. Through a closed-loop design of “Bridge-in (contextual introduction) → Learning Objectives (clarifying expectations) → Pre-assessment (diagnosing starting points) → Participatory Learning (active exploration) → Post-assessment (immediate feedback) → Summary (knowledge consolidation),” combined with real-world cases and the use of AI tools like DeepSeek and Doubao to assist teaching, student engagement in the classroom has been significantly improved. Practice shows that the experimental group outperformed the traditional teaching group in terms of behavioral and cognitive engagement. This model provides a replicable practical framework for the reform of advanced mathematics teaching, effectively shifting the focus from “knowledge transmission” to “ability cultivation”.