教学转换理论视角下高中数学新编教材中数学建模的知识形态  

Mathematical Modeling Knowledge in the New Edition of High School Mathematics Textbook from the Theory of Didactic Transposition

作　　者：黄健[1] 徐斌艳[1] 王思凯 HUANG Jian;XU Binyan;WANG Sikai(College of Teacher Education,East China Normal University,Shanghai,200062,China)

机构地区：[1]华东师范大学教师教育学院,上海200062

出　　处：《全球教育展望》2022年第3期33-48,共16页Global Education

基　　金：上海市高校“立德树人”人文社科重点研究基地课题“数学课程中跨学科综合实践的设计与实施”(项目编号:15500-412224-21A45/004)的研究成果。

摘　　要：数学建模在各个领域内发挥着重要作用,教育界也对其日益重视。随着高中新课标与新教材的出版,数学建模教学也正紧锣密鼓地开展实践。然而,数学建模知识在不同背景下的表现形态与关注重点等却不尽一致。本研究在教学转换理论的视角下,选取三个关于数学建模的知识样本,比较分析数学建模的学术知识、待授知识、教学知识在概念界定、过程描述、教学目标与教学侧重四个维度上的差异。由此,本研究厘清了数学建模概念进入教学环境的演变路径与关键特征,以帮助教师更好地使用新编数学教材进行数学建模教学,也为数学建模素养的培养与研究提供理论参考。Mathematical modeling plays an important role in various fields,and the education community is paying more and more attention to it.With the new edition of high school curriculum standards and new edition textbooks,mathematical modeling teaching is also being carried out in full practice.However,the form and focus of mathematical modeling knowledge are quite different in different backgrounds.From the perspective of the Theory of Didactic Transposition,the research selected three knowledge samples about mathematical modeling and compared and analyzed the differences of scholarly knowledge,knowledge to be taught,and taught knowledge about mathematical modeling from four dimensions,including definition,process,teaching goal,and teaching emphasis.The research finally clarifies the evolution path and key characteristics of mathematical modeling into the teaching environment to help teachers better use the new edition mathematical textbooks for mathematical modeling teaching and provides the theoretical basis for the cultivation and research of mathematical modeling competence.

关 键 词：数学建模 教学转换理论 高中新编教材 学术知识 教学知识 

分 类 号：G633.6[文化科学—教育学]