What is Distinctive in (Our Views about) Models & Modelling Perspectives on Mathematics Problem Solving, Learning, and Teaching?

What is Distinctive in (Our Views about) Models & Modelling Perspectives on Mathematics Problem Solving, Learning, and Teaching?
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(我们对)模型的独特之处是什么

DOI:
10.1007/978-0-387-29822-1_15
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发表时间:
2007
期刊:
影响因子:
--
通讯作者:
Caroline Yoon
Caroline Yoon
中科院分区:
--
文献类型:
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作者:
R. Lesh;Caroline Yoon

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在一个以技术为基础的信息时代,为了在学校之外取得成功,需要基本但强大的数学结构和概念系统,典型的解决问题的情况的本质是什么?在这些情况下,强调的是什么样的“数学思维”?“理解”在上述情况下所需要的最重要的思想和能力是什么意思?这些能力是如何发展的?可以做些什么来促进发展?我们如何记录和评估所需的最重要的成就:(i)知情的公民,或(ii)成功参与越来越广泛的职业,成为数学,科学和技术的重度用户?
What is the nature of typical problem-solving situations where elementary-but-powerful mathematical constructs and conceptual systems are needed for success beyond school in a technology-based age of information? What kind of “mathematical thinking” is emphasized in these situations? What does it mean to “understand” the most important ideas and abilities that are needed in the preceding situations? How do these competencies develop? What can be done to facilitate development? How can we document and assess the most important achievements that are needed: (i) for informed citizenship, or (ii) for successful participation in the increasingly wide range of professions that are becoming heavy users of mathematics, science, and technology?