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、开发和测试一个尖端的在线协作学习环境，学生和教师可以在这里解决数学问题，并与他人交流他们的想法。主要的重点是通过使用这个在线协作学习环境，提高数学教师和学生之间重要数学话语的质量和数量。这种在线协作学习环境是基于pi先前的工作，称为虚拟数学团队，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的可用性，以吸引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。本项目采用设计研究法和总结性评价法来实现研发目标。语篇分析和回归模型将用于检验在线协作学习环境对学生重要数学语篇和成绩的影响。本项目的研究结果对该领域的研究有以下三个方面的贡献：(1)在线协作学习环境可以成为数学教育的有效教学工具和研究工具；(2)它将有助于我们理解在线数学话语的本质，以及如何在教师和学生之间培养重要数学话语的质量和数量；(3)该项目可以为有效的在线课程交付提供见解。

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.