Collaborative Research: Preparing Future Middle and High School Mathematics Teachers to Lead Productive Geometry Discussions using Web-Based Dynamic Geometry Technology Tools

该项目旨在通过为未来的初高中数学教师的本科生创建课程来服务于国家利益。这些材料将用于帮助未来的教师在教授几何概念时学习如何使用技术来引导富有成效的数学讨论。3级参与学生学习项目有三个目标：1)创建在线模块，重点培养未来的教师利用基于网络的动态几何工具促进富有成效的数学讨论；2)对未来的初中和高中数学教师在使用技术时注意到6-12年级学生的几何思维，以及他们利用这种分析来计划富有成效的讨论的方式进行研究；3)为数学教师教育工作者提供支持，使他们能够在自己的机构中与未来的教师一起使用这些材料。课程材料将包括高认知要求的任务，包括初高中学生完成这些任务的视频案例和样本，以帮助未来的初高中数学教师分析学生的思维并利用这种思维引导富有成效的讨论。项目团队将对40-60名未来教师进行研究，考察他们如何利用技术分析学生的思维，以及他们如何利用这种分析来计划引导讨论。本研究亦会以30至40名数学教师为对象，研究支援对其科技知识、教学法及科技知识的影响。研究结果将通过会议发言和研究出版物广泛传播。该项目开发的课程材料将通过现有的在线专业学习门户免费分发给全国的数学教师教育工作者。NSF IUSE: EDU项目支持研究和开发项目，以提高STEM教育对所有学生的有效性。通过参与学生学习轨道，该计划支持有前途的实践和工具的创建，探索和实施。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This project aims to serve the national interest by creating curricula for undergraduate students who are future middle and high school mathematics teachers. These materials will be used to prepare future teachers to learn how to use technology to lead productive mathematics discussions when teaching geometry concepts. The Level 3 Engaged Student Learning project has three goals: 1) create online modules focused on preparing future teachers to facilitate productive mathematics discussions with the use of web-based dynamic geometry tools, 2) conduct research studies on future middle and high school mathematics teachers’ noticing of grades 6-12 students’ geometric thinking while using technology and the ways they use that analysis to plan a productive discussion, and 3) provide support for mathematics teacher educators to use the materials with prospective teachers at their institutions.The curriculum materials will include tasks that are of high cognitive demand, including video cases and samples of middle and high school students’ work on those tasks to prepare future middle and high school mathematics teachers to analyze students’ thinking and use that thinking to lead productive discussions. The project team will conduct research on 40-60 future teachers’ by examining how they analyze students’ thinking with technology and the ways they use that analysis to plan to lead discussions. Research will also be conducted on 30-40 mathematics teacher educators to study the impacts of the support on their knowledge of technology, pedagogy, and technology. Findings will be disseminated broadly through conference presentations and research publications. The curriculum materials that are developed by the project will be freely distributed to mathematics teacher educators across the nation using an existing online professional learning portal. The NSF IUSE: EDU Program supports research and development projects to improve the effectiveness of STEM education for all students for Engaged Student Learning projects. Through the Engaged Student Learning track, the program supports the creation, exploration, and implementation of promising practices and tools.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.