Synthesizing Video Data on Students' Mathematical Reasoning

该项目将开发和实施一个“概念证明？该模型用于共享分析视频数据，这些数据来自NSF支持的关于K-12数学中学生推理和证明发展的纵向和横向研究。将在全世界范围内提供收藏的Epanode，为该领域提供宝贵和独特的资产，研究人员和在职和职前教师教育提供者可以通过互联网以创造性和有效的方式使用这些资产。分析的数字视频剪辑，transmittance和学生的工作图像将与分析评论，生产和引用根据全国数学教师理事会（NCTM）过程标准的推理和理由。录像片段和辅助材料将编入一个数据库，并放在一个服务器上供因特网访问。为了使数据库的内容易于检索，将在一个杰出的咨询委员会的专门知识指导下，制定和应用一个由属性或描述词组成的索引计划。该数据库将供任课教师、研究人员和师资教育工作者使用。由此产生的数据库将使教师能够详细研究个别学生在课堂环境中和小组工作中的学习情况，并通过个别访谈。视频数据的一个非常重要的方面是，它使人们能够研究学习实际上是如何展开的。这些视频工具将使教师、教师教育者和研究人员能够密切观察学生的数学学习情况，并反思学生的数学潜力。视频数据的收集为认真分析和反思实践提供了数据库。

This project will develop and implement a 'proof of concept? model for sharing analyzed video data that draws from two decades of NSF supported longitudinal and cross sectional research on the development of students' reasoning and justifying in K-12 mathematics. Episodes from the collection will be made accessible worldwide to provide an invaluable and unique asset to the field that can be used in creative and effective ways by researchers and providers of in-service and pre-service teacher education through the Internet. Analyzed digital video clips, transcriptions and images of students' work will be linked with analytical commentaries, produced and referenced according to the National Council of Teachers of Mathematics (NCTM) Process Standards for reasoning and justification. Video episodes and supporting materials will be organized into a database and placed on a server for Internet access. In order to make the database contents easily accessible, an indexing scheme made up of attributes or descriptors will be developed and applied, guided by the expertise of a distinguished Advisory Board. The database will be accessible for use by classroom teachers, researchers and teacher educators. The resulting database will enable teachers to study in detail the learning of individual students in classroom settings and in small group work and through individual interviews. A very important aspect of the video data is that it enables one to study how learning actually unfolds. These video tools will make it possible for teachers, teacher educators, and researchers to closely observe students' learning of mathematics and reflect on students' potential for doing mathematics. The collection of video data provides a database for careful analysis and reflection on practice.