Collaborative Research: Computer-Supported Math Discourse Among Teachers and Students

这个完整的研究和开发项目旨在设计、开发和测试一个尖端的在线协作学习环境，在这里，学生和教师可以解决数学问题，并与他人交流他们的想法。主要的焦点是通过使用这个在线协作学习环境来提高数学教师和他们的学生之间重要的数学话语的质量和数量。这个在线协作学习环境基于PI之前的工作，称为虚拟数学团队，它将同步和异步媒体与第一个多用户动态数学可视化应用程序集成在一起。研究人员将测试在线协作学习环境在让学生参与高质量话语方面的可用性。研究人员还将研究在线协作学习环境对学生重要的数学话语和成就的影响。该项目使用设计研究方法以及终结性评估来实现研究和开发目标。运用语篇分析和回归模型考察在线协作学习环境对学生重要数学语篇和学习成绩的影响。该项目的研究结果在三个方面对该领域做出了贡献：(1)在线协作式学习环境既是数学教育中有效的教学工具，也是一种研究工具；(2)它将有助于我们理解在线数学语篇的本质，以及如何在教师和学生之间培养重要数学语篇的质量和数量；以及(3)该项目可以为有效的在线课程教学提供见解。

This full research and development project is to design, develop, and test a cutting-edge online collaborative learning environment where students and teachers solve mathematical problems and communicate their thinking with others. The major focus is to increase the quality and quantity of significant math discourse among mathematics teachers and their students by using this online collaborative learning environment. This online collaborative learning environment is based on PIs' prior work called Virtual Math Teams that integrates synchronous and asynchronous media with the first multi-user dynamic-math-visualization application. The researchers will test the usability of the online ollaborative learning environment for engaging students in high quality discourse. The researchers will also examine the impact of the online ollaborative learning environment on students' significant mathematical discourse and achievement.The project uses a design research method as well as summative evaluations to achieve research and development goals. Discourse analysis and regression models will be used to examine the impact of the online collaborative learning environment on student significant mathematical discourse and achievement.The findings of the project contribute to the field in three ways: (1) The online collanorative learning environment can be both an effective pedagogical tool and a research tool in mathematics education; (2) It will contribute to our understanding about the nature of mathematical discourse online as well as about ways to foster the quality and quantity of significant math discourse among teachers and their students; and (3) This project can provide insights into effective online deliveries of courses.