基于教材资源的数学建模教学实例编写:个人住房贷款还款问题  

Compilation of Mathematical Modelling Teaching Cases Based on Mathematics Textbooks: Personal Housing Loan Repayment Problem

作　　者：陈夏明 CHEN Xiaming(Shanghai Experimental School,Shanghai 200125,China)

机构地区：[1]上海市实验学校,上海200125

出　　处：《数学建模及其应用》2021年第4期72-80,共9页Mathematical Modeling and Its Applications

基　　金：上海市教育科学研究一般项目——中学生数学建模能力评价体系构建的实践研究(C20024)。

摘　　要：选择合适的素材是编写适合中学生的数学建模案例的重要环节,现行的各版本中学数学教材是数学建模教学案例素材的重要来源.本研究以苏教版数学教材的个人公积金贷款问题为素材来源,对问题进行合理改编和拓展,建立了符合普通高中生知识储备、学习能力和思维特点的建模样例;建立了适应课内应用题、研究性活动与数学建模等多层次要求的建模样例框架.在此基础上,提炼建模案例的编写流程与策略,指出建模案例的教学注意要点.The selection of appropriate materials is an essential link in compiling mathematical modelling cases suitable for middle school students. The current versions of middle school mathematics textbooks are an essential source of mathematical modelling teaching case materials. Based on the personal provident fund loan problem in the mathematics textbook of Jiangsu Education Edition, this study reasonably adapts and expands the problem, and establishes a model in line with the knowledge reserve, learning ability and thinking characteristics of senior high school students. This paper establishes a model to meet the multi-level requirements of class word problems, research activities and mathematical modelling. Refine the process and strategy of writing modelling cases, and point out the key points of teaching modelling cases.

关 键 词：中学数学建模 教学案例 编写策略 教学要点 住房贷款 

分 类 号：O29[理学—应用数学]