Introducing Dynamic Number as a Transformative Technology for Number and Early Algebra

引入动态数作为数字和早期代数的变革技术

• 批准号: 0918733
• 负责人: Daniel Scher
• 金额: $ 251.9万
• 依托单位: KCP Technologies
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-09-01 至 2013-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0918733&HistoricalAwards=false
• 关键词: Introducing; Dynamic; Number; Transformative; Technology

Introducing Dynamic Number is a research and development project undertaken by KCP Technologies to extend and operationalize research in number, operation, and early algebra. The project builds on the paradigm of Dynamic Geometry (the interactive and continuous manipulation of geometric shapes and constructions) with a new technological paradigm, Dynamic Number, centered on the direct manipulation of number representations and numerical constructions. Using The Geometer's Sketchpad as a starting point, KCP Technologies is developing new software tools to deepen students' conceptions of integers, fractions, decimals, real numbers, and early algebra in grades 2-8 mathematics. These tools are accompanied by 40 supporting classroom activities, as well as a six-week online professional development course for teachers. Both the software and learning materials are being designed from the perspective of a "bottom up/top down" analysis of the content domains. The University of Georgia, working under a subcontract, serves as the project's evaluator. Using a combination of videotaped teaching experiments and classroom observations from eight field-test schools, they are examining how Dynamic Number technology effects students' conceptions of discrete numerical quantities, continuous numerical quantities, and early algebraic principles, such as the concept of variable. They are also examining whether the software allows students to design and construct dynamic mathematical models of their own invention.

引入动态数是KCP Technologies承担的一个研究和开发项目，旨在扩展和操作数字，运算和早期代数的研究。该项目建立在动态几何（几何形状和构造的交互和连续操作）的范式基础上，采用了一种新的技术范式，动态数字，以数字表示和数字构造的直接操作为中心。以几何画板为起点，KCP技术公司正在开发新的软件工具，以加深2-8年级数学学生对整数、分数、小数、真实的数和早期代数的概念。与这些工具配套的还有40项辅助课堂活动，以及为期六周的教师在线专业发展课程。软件和学习材料都是从“自下而上/自上而下”分析内容领域的角度设计的。格鲁吉亚大学在一个研究所的指导下担任该项目的评估员。他们结合八所实地测试学校的录像教学实验和课堂观察，研究动态数技术如何影响学生对离散数值量、连续数值量和早期代数原理（如变量概念）的概念。他们还在研究该软件是否允许学生设计和构建自己发明的动态数学模型。