Priming the Pump: Connected Geometry

这个项目将开发一套课程材料和配套的教师支持材料，将使用几何将数学探索的文化带入课堂，将学生的经验与经验的各个部分相互联系。这些材料将包括(1)学生活动资料库，以使它们可以用来形成连贯的单元，以处理特定的内容和主题；(2)课程地图制作程序，旨在帮助教师选择活动和相关活动的顺序，从现有几何课程的延伸到全新的课程；(3)提供自导式在职教材，协助教师有效运用教材，探索活动中所体现的教学新模式。这些活动将鼓励学生进行心理实验，使用物理操作和使用计算机图像。他们将培养学生推理、分析和交流的数学方法；将几何与科学、技术和艺术联系起来。以及将几何与其他数学领域的重要思想联系起来，包括代数、分析、数论、组合学和线性代数。

This project will develop a set of curriculum materials and accompanying teacher support materials that will use geometry to bring a culture of mathematical exploration into the classroom, interconnect students' experiences with various parts of experience. The materials will include (1) a library of students activities designed so they can be used to form coherent units addressing specific content and themes; (2) a Curriculum Map Maker designed to help teachers select activities and sequences of related activities, ranging from extensions to existing geometry courses to completely new courses; and (3) a Self-Guided Inservice Package to help teachers learn to make effective use of the toolkit and to explore the new models of teaching embodied in the activities. The activities will encourage students to experiment mentally, using physical manipulatives, and using computer images. They will foster students' development of mathematical ways of reasoning, analyzing, and communicating; link geometry to science, technology, art. and other areas of students' experience; and link geometry to important ideas in other areas of mathematics, including algebra, analysis, number theory, combinatoriecs, and linear algebra.