Synthesizing Video Data on Students' Mathematical Reasoning

这个项目将开发和实施一个共享分析视频数据的概念验证模型，该模型来自美国国家科学基金会支持的关于学生在K-12数学中推理和证明能力发展的纵向和横向研究。将在全世界范围内提供这些片段，为实地提供一种无价和独特的资产，研究人员和在职和职前教师教育的研究人员和提供者可通过互联网以创造性和有效的方式加以利用。学生作业的分析数字视频剪辑、转录和图像将与根据全国数学教师委员会(NCTM)推理和辩护过程标准制作和参考的分析评论相联系。视频剧集和辅助材料将被组织到一个数据库中，并放置在服务器上以供互联网访问。为了使数据库内容易于查阅，将在一个杰出咨询委员会的专门知识指导下，制定和应用由属性或描述符组成的索引编制计划。该数据库将供课堂教师、研究人员和教师教育工作者使用。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、小组工作和个别访谈中的学习情况。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、教师教育工作者和研究人员能够密切观察学生的数学学习情况，并反思学生做数学的潜力。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.