ABSTRACT

In this article, we describe how students structured 2-dimensional space with square and nonsquare units. We employed a cross-sectional design, interviewing 5 students from each of 4 different grade groups: Grades 1, 3, 5, and 7 (ages 7, 9, 11, and 13) in structured, task-based interviews. Our findings about students’ ways of measuring area fit a hypothetical route of learning, validating 4 specific levels of thinking about area units across tasks, regardless of unit shape and dimension indicators. Implications for instruction and research are discussed.

中文翻译：

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面积测量：使用非平方单位进行结构化

摘要

在本文中，我们描述了学生如何用正方形和非正方形单位构造二维空间。我们采用了横断面设计，通过基于任务的面试，采访了4个不同年级组中的每一个的5名学生：1、3、5和7年级（7、9、11和13岁）。我们关于学生测量面积的方法的发现符合假设的学习路线，验证了跨任务对面积单位的4个特定层次的思考，无论单位形状和尺寸指标如何。讨论对教学和研究的意义。