六顶思考帽融入数学研讨课的教学设计与实践——以定积分的应用为例

Six Thinking Hats Integrated into the Teaching Design and Practice of Mathematics Seminar—Taking the Application of Definite Integral as an Example

摘要: 在高等数学教学改革不断深化的背景下，为进一步提升学员的协同思考与问题解决能力，将六顶思考帽理论融入“定积分的应用”研讨课教学设计。首先解构六顶思考帽理论的核心内涵与高等数学课程的重要特质，明确二者在思维训练、知识探究等方面的契合性；进而从教学内容分析、教学目标设定、教学实施流程三个维度，构建完整的教学设计方案；最后通过教学反思审视实践成效与现存问题，为高等数学课程教学改革提供新思路。实践表明，该教学设计有助于打破传统教学局限，优化研讨课结构，提升研讨课的教学质量，促进学员对定积分应用知识的深度理解与灵活运用，促使学生从被动接受转向主动探究知识。

Abstract: Against the backdrop of deepening reforms in advanced mathematics teaching, in order to further enhance students’ collaborative thinking and problem-solving abilities, the Six Thinking Hats theory is integrated into the teaching design of the seminar on “Application of Definite Integrals”. Firstly, the core connotations of the Six Thinking Hats theory and the essential characteristics of advanced mathematics courses are deconstructed to clarify the compatibility between the two in terms of thinking training and knowledge exploration. Subsequently, a complete teaching design scheme is constructed from three dimensions: teaching content analysis, teaching objective setting, and teaching implementation process. Finally, the practical effectiveness and existing problems are examined through teaching reflection, providing new insights for the reform of advanced mathematics teaching. Practice has shown that this teaching design helps break the limitations of traditional teaching, optimize the structure of seminars, improve the teaching quality of seminars, promote students’ in-depth understanding and flexible application of definite integral knowledge, and facilitate the shift from passive reception to active knowledge exploration.