Making Connections Between Modelling and Constructing Mathematics Knowledge: An Historical Perspective
Making Connections Between Modelling and Constructing Mathematics Knowledge: An Historical Perspective
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在建模和构建数学知识之间建立联系：历史的视角
DOI：
10.1007/978-94-007-0910-2_64
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
M. Stephens
中科院分区：
文献类型：
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作者：
Toshikazu Ikeda;M. Stephens
这项研究将通过检查近 70 年前的日本初中教科书，以令人惊讶的方式解决试图在建模和纯数学之间取得平衡时出现的紧张局势。发现了三个特征：（1）两个不同的角色——首先是作为数学化的对象以解决现实世界的问题，其次是作为检验数学概念有效性的证据； (2) 相同背景的重复实例，通过这些实例可以发展数学化的新阶段； (3)一系列现实世界问题，重点关注解决现实世界问题的原因。
This study will look at a surprising resolution of the tension that arises in trying to strike a balance between modelling and pure mathematics by examining Japanese textbooks for the junior high school nearly 70 years ago. Three characteristics are found: (1) two distinct roles –first as objects to mathematize in order to solve real world problems and second as evidence by which to test the validity of mathematical concepts; (2) repeated instances of the same contexts through which new phases of mathematization could be developed; and (3) a series of real world questions focussed on the reason for solving a real world problem.