Video in the Middle: Flexible Digital Experiences for Mathematics Teacher Education

这项工作着眼于数学教育中的一个实际问题：支持教师在代数教学中的专业发展。该项目将设计和开发一种基于网络的中学代数学习和教学的专业发展和教师教育形式。该项目是一个为期4年的设计和开发项目，在教学链。计划了40个模块，这些模块将为在线专业发展体验提供重点和结构。这些模块遵循明确的学习轨迹，在在线教师学习体验中使用视频剪辑，包括解决数学问题、课堂实践视频分析和教学反思。在每个单元活动中，教师都会体验到一组一致的活动。在观看每一个视频片段之前和之后，老师们都会参与旨在让学生深度沉浸在数学内容和重点教学部分的活动。这项研究有可能将教育数据挖掘的知识应用到教师教育材料的研究和开发中。在研究材料的设计和影响方面，该项目可能会对其他对设计在线专业发展和教师教育材料感兴趣的人提供启示。Discovery Research PreK-12项目旨在通过研究和开发创新资源、模型和工具，显著提高PreK-12学生和教师在科学、技术、工程和数学方面的学习和教学。DRK-12计划中的项目建立在STEM教育的基础研究和先前的研究和开发工作的基础上，这些研究和开发工作为拟议的项目提供了理论和经验上的证明。专业发展植根于提炼和一致地审查制定教师材料的最佳实践。这项研究调查了这些材料的设计和影响，这些材料可以支持其他对设计数字专业发展感兴趣的人。该项目将使用数据分析来发现用户首先选择使用哪些基于视频的模块，他们使用模块的顺序，以及他们没有选择的模块。这些单元将包括三种授课形式，以满足不同的教师学习需求(个人自定进度、小组进度、促进/结构化课程)，并为专业发展提供者和教师教育工作者提供灵活的途径和多个模块的顺序，以供其在各自的情况下使用。此外，该项目还包括一项计划，使专业开发人员和教育工作者可以通过开放获取这些模块。该项目包含一项评估专业发展成效的强有力的计划。在第三年，计划进行一项随机对照试验先导成效研究，以探讨教师参与小组进度授课和促进课程形式对他们用于教学和教学实践的数学知识的影响，以及对学生表现的整体影响。该项目着重于支持教师的线性函数、表达式和方程式知识以及各种表示法之间的联系和联系这一实际问题。

This work focuses on a practical problem in mathematics education; supporting teacher professional development for algebra teaching. The project will design and develop a web-based form of professional development and teacher education for learning and teaching algebra in middle school. The project is a 4-year Design and Development project within the Teaching Strand. Forty modules are planned that will provide focus and structure to an online professional development experience. These modules follow an explicit learning trajectory in which a video clip is used in the middle of an online teacher learning experience composed of mathematical problem solving, video analysis of classroom practice, and pedagogical reflection. Within each module activity, a teacher experiences a consistent set of activities. Before and after teachers watch each video clip, they engage in activities designed to immerse them deeply in both the mathematics content and the focal instructional components. The study has the potential to advance the knowledge of the use of educational data mining into the research and development of teacher education materials. In researching both the design and impact of the materials this project may offer implications for others interested in designing online professional development and teacher education materials. The Discovery Research preK-12 program seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics by preK-12 students and teachers, through research and development of innovative resources, models, and tools. Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects.The professional development is rooted in refining and consistently examining best practices in developing the teacher materials. The study investigates the design and impact of the materials which can support others who are interested in designing digital professional development. The project will employ the use of data analytics to discover what video-based modules users choose to use first, the sequence in which they use the modules, and the modules they don't choose. The modules will include three delivery formats to meet the variety of teacher learning needs (individual self-paced, group-paced, facilitated/structured course) and offer flexible pathways and sequences of multiple modules for professional development providers and teacher educators to use in their own contexts. Moreover, the project includes a plan to make the modules available through open access for professional developers and educators. The project contains a robust plan for evaluating the effectiveness of the professional development. In Year 3, a randomized controlled trial pilot efficacy study is planned to address the impact of teachers' participation in the group-paced delivery and facilitated course form format on their mathematics knowledge for teaching and teaching practice as well as the overall impact on their students' performance. The project has a strong focus on the practical problem of supporting teachers' knowledge of linear functions, expressions, and equations as well as how various representations are connected and linked.