A Guide to Standards-based K-12 Instructional Materials in Mathematics

本研究对由美国国家科学基金会资助的16个数学综合材料开发项目的数学内容进行了分析。可交付的成果是一份出版物，其中展示了每个项目中使用这些材料的学生应该知道的数学知识。还讨论了教学和工作人员发展问题。通过观察这些项目开发的材料将数学主题置于旨在使数学更有意义并吸引学生注意力的各种背景中，可以看出对此类研究的需求。这些上下文非常丰富，需要仔细分析才能看到所嵌入的所有数学主题。例如，从表面上看，互动数学课程中的“饼干”单元似乎是在尝试引入数学规划，但实际上，该单元的目的是让学生学习如何处理方程和如何使用图形进行推理。

9634085 Robinson This research leads to an analysis of the mathematical content of sixteen comprehensive, materials development projects in mathematics funded by NSF. The deliverable is a publication that shows for each project the mathematics that students who have used the materials should know. Discussions of pedagogical and staff development issues are also provided. The need for such a study is illuminated by the observation that the materials developed by these projects place the mathematical topics in various contexts that are intended to make the mathematics more meaningful and attract the attention of students. These contexts are very rich and require a careful analysis to see all the mathematical topics that are embedded. For example, on the surface the "Cookies" unit from the Interactive Mathematics Program appears to be an attempt to introduce mathematical programming, but in fact the purpose of the unit is for students to learn how to manipulate equations and how to reason using graphs.