高中数学新教材中的数学建模

Mathematical modelling in the new textbook of high school mathematics

依据《普通高中数学课程标准(2017年版)》对数学建模的要求,我国高中数学新教材大幅度调整了教材中的建模内容,凸显了数学建模在数学课程中的地位.厘清新教材对数学建模内容的处理,是有效把握建模教学的前提.借鉴相关理论,从整体结构、情境表述、问题表述、模型类型及建模过程5个维度出发,对人教A版高中数学新教材中的数学建模进行分析与探讨.研究发现:新教材中数学建模内容遵循课标的要求与建议,内容组织合理;重视函数模型的应用,情境类型和问题表述使用丰富;关注数学建模活动过程.基于研究结果,针对新教材的建模内容给出了相应的教学建议.

According to the requirements of the General Senior High School Mathematics Curriculum Standard(2017 Edition),China′s new high school mathematics textbooks had significantly adjusted the modelling content,which highlighted the position of mathematical modelling in mathematics curriculum.Clarify the treatment of mathematical modelling content in the new textbook had been the premise of grasping modelling teaching.Based on the relevant theories,it was concluded in view of five dimensions of overall structure,situation expression,problem expression,model type and modelling process to make a statistical analysis of the modelling in the new textbook of high school mathematics version.It was concluded that:the content of mathematical modelling in the new textbook follows the requirements and suggestions of the new curriculum standards,reasonable content organization,emphasis on the application of function model,situation types and rich use of problem statements,focus on the process of modelling activities.Based on the results,several corresponding teaching suggestions were given for the modelling content of the new textbook.