SBIR Phase II: The Mathematician's Sketchpad

*** 9623018 Finzer这个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力量，以第二代动态几何软件-数学家的Sketchpad-更易于使用，改进了与其他数学和科学领域的集成，以及用于构建动态数学模型的新概念和视觉隐喻。该项目的起点是The Geometer的Sketchpad，这是目前在美国最受推崇和商业上最成功的软件系统之一。从混合了符号代数和图形的动态几何中产生了动态代数，它将允许学生、教师和作者基于用户指定的工具集创建速写本。这种与课堂材料相结合的新技术将从根本上改变教师和学生学习和做数学的方式。几何学家Sketchpad的商业成功证明了数学家Sketchpad的商业潜力。新程序将比当前一代的The Geometer’s Sketchpad在几何课堂上有更多的用途，如果我们的研究成功，将在中学和大学数学课程中得到应用。教师对第一阶段制作的软件和课程材料原型的热情反应表明，将会有高水平的教师支持。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商业可持续性的途径。*＊*

*** 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. ***