ABSTRACT

The goal of our research program is to explicate the learning of mathematical concepts in ways that are useful for instructional design and to develop design principles based on those explications. I review one type of concept and our elaboration of reflective abstraction, coordination of actions (COA) that accounts for its construction. I then postulate a second type of concept and a second type of reflective abstraction that accounts for its construction, the abstraction of commonality (AOC).

中文翻译：

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精心设计数学教学设计中的反射抽象：假定第二种类型的反射抽象

摘要

我们研究计划的目标是通过对教学设计有用的方式来阐述数学概念的学习，并根据这些说明来发展设计原则。我回顾了一种类型的概念，以及我们对反思性抽象的阐述，解释其构造的动作协调（COA）。然后，我提出了第二种类型的概念和第二种类型的反射性抽象，它们解释了其构造，即通用性（AOC）。