高中数学建模活动素材开发探究：从应用题到建模题

Exploring the Development of Materials for High School Mathematical Modelling Activities: From Application Problems to Modelling Problems

摘要: 《普通高中数学课程标准(2017年版2020年修订)》强调让学生掌握数学建模的重要性，并且努力让这种技能融入到各种教学活动之中，以提升他们的数学能力。但在实践教学中，教师往往难以找到合适的数学建模活动素材，使其满足学生数学建模能力水平又紧密结合高中课堂教学任务。制定高中数学建模活动素材选取与改编的依据、原则及策略，并以概率模型为例，开发了从高中应用题到建模题的案例，最后给出教学建议。研究方法及结果能为教师开展高中数学建模教学活动提供有价值的素材和参考。

Abstract: The General High School Mathematics Curriculum Standards (2017 Edition Revised 2020) emphasise the importance of equipping students with mathematical modelling and strive to integrate this skill into a variety of teaching and learning activities to enhance their mathematical competence. However, in practice, teachers often struggle to find suitable materials for mathematical modelling activities that meet students’ level of mathematical modelling competencies yet are closely aligned with the tasks of teaching and learning in high school classrooms. The rationale, principles and strategies for selecting and adapting materials for mathematical modelling activities in senior secondary schools are developed, and case studies ranging from senior secondary application problems to modelling problems are developed using probability models as examples, concluding with teaching suggestions. The research methods and results can provide valuable materials and references for teachers to carry out high school mathematical modelling teaching activities.