SBIR Phase II: The Mathematician's Sketchpad

*9623018 Finzer这个Key课程出版社的小型企业创新研究第二阶段项目利用了最近对动态几何的理解和机器的新功能，到第二代动态几何软件--数学家的画板--更易于使用，改进了与数学和科学的其他领域的集成，以及用于构建动态数学模型的新的概念和视觉隐喻。该项目的起点是几何画板，这是目前在美国可用的最受推崇和商业成功的软件系统之一。从动态几何与符号代数和绘图混合而来的是动态代数，它将允许学生、教师和作者基于用户指定的工具集创建Sketchbook。这项新技术与课堂材料相结合，将从根本上改变教师和学生学习和做数学的方式。《几何画板》的商业成功证明了《数学家画板》的商业潜力。与当前一代的几何画板相比，新程序在几何课堂上将有更多的实用价值，如果我们的研究成功，将在中学和大学数学课程中随时应用。教师对第一阶段制作的软件和课程材料的原型反应热烈，表明将会有很高水平的教师支持。将在项目期间编写的课程材料为拟议研究的最终产品提供了另一种已证实的商业可持续性途径。***

*** 9623018 Finzer This Small Business Innovation Research Phase II project from Key Curriculum Press leverages recent understanding of dynamic geometry and new power of machines to a second generation of dynamic geometry software--The Mathematician's Sketchpad--with much greater ease of use, improved integration with other areas of mathematics and science, and new conceptual and visual metaphors for building dynamic mathematical models. The starting point for the project is The Geometer's Sketchpad, one of the most highly regarded and commercially successful software systems presently available in the United States. From dynamic geometry mixed with symbolic algebra and graphing comes dynamic algebra which will allow students, teachers, and authors to create Sketchbooks based on user-specified sets of tools. This new technology combined with classroom materials will fundamentally change how teachers and students learn and do mathematics. The commercial success of The Geometer's Sketchpad demonstrates the commercial potential of the Mathematician's Sketchpad. The new program will have even more utility for the geometry classroom than the current generation of The Geometer's Sketchpad and, if our research is successful, will have ready application throughout the secondary and college mathematics curriculum. The enthusiastic response of teachers to prototypes of both software and curriculum materials produced during Phase I indicates that there will be high level of teacher support. The curriculum materials to be developed during the project provide another proven avenue of commercial sustainability for the eventual products of the proposed research. ***