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

这个完整的研究和开发项目是设计，开发和测试一个先进的在线协作学习环境，学生和教师解决数学问题，并与他人交流他们的想法。 本研究的主要目的是透过线上合作学习环境，提升数学教师与学生之间重要数学话语的质与量。 这个在线协作学习环境是基于PI之前的工作，称为虚拟数学团队，它集成了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。 研究人员将测试在线协作学习环境的可用性，让学生参与高质量的话语。 研究人员还将研究在线协作学习环境对学生重要数学话语和成就的影响。该项目采用设计研究方法以及总结性评价来实现研究和开发目标。 本研究采用语篇分析和回归分析的方法，考察了在线协作学习环境对学生重要数学语篇和数学成绩的影响，研究结果表明：（1）在线协作学习环境既是一种有效的教学工具，也是一种研究工具;（2）它将有助于我们了解在线数学话语的性质，以及如何在教师和学生中培养重要的数学话语的质量和数量;（3）本项目可以提供有效的在线课程交付的见解。

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.