A Revision of the Geometry and Measurement Strands, K-6

几何和测量是密切相关的主题，在目前的小学课程中，通常在单独的章节中教授。然而，在现实中，许多测量涉及几何实体。同样，几何图形的许多性质也是通过测量得到的。因此，将几何线和测量线结合起来考虑是合理的。该项目将修改这两个方面，利用几何和测量之间的自然联系来实现它们的相互优势。修订将基于理论，以前的研究结果，并在文献中提出的专家意见。范希勒斯理论将成为修正几何链的主要依据。皮亚杰的理论同样将为修正测量链提供基础。将开发14个原型单元，其中7个为几何单元，7个为测量单元。计算器和计算机将在任何适当的时候使用：在问题情境中，在演示中，在公开调查中，在模式的开发和探索中，以及（有时）在执行计算中。目标是将数学课程从静态和死记硬背的演示转向动态和有意义的研究。

Geometry and measurement are closely related topics that are, in current elementary school curricula, usually taught in separate chapters. In reality, however, many measurements involve geometric entities. Similarly, many of the properties of geometric figures are derived through work with measurement. Thus it is reasonable that the geometry and measurement strands be considered together. This project will revise both strands, exploiting the natural connections between geometry and measurement to their mutual advantage. The revisions will be based on theory, the results of previous research, and expert opinion as presented in the literature. The theories of the van Hieles will be a major basis for the revision of the geometry strand. The theory of Piaget will likewise form a basis for revision of the measurement strand. Fourteen prototype units, seven in geometry and seven in measurement, will be developed. Calculators and computers will be used whenever appropriate: in problem situations, in demonstrations, in open investigations, in development and exploration of patterns, and (sometimes) in performing calculations. The goal is to move mathematics curricula from static and rote presentations toward dynamic and meaningful investigations.