Building a Next Generation Diagnostic Assessment and Reporting System within a Learning Trajectory-Based Mathematics Learning Map for Grades 6-8

探索研究K-12项目（DRK-12）旨在通过研究和开发创新资源、模型和工具（rmt），显著提高pre -12学生和教师对科学、技术、工程和数学（STEM）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，为拟议的项目提供了理论和实证依据。本提案旨在设计下一代诊断评估，使用学习进度和其他研究（学习科学）来支持中学数学教学和学习。它将侧重于九个大的内容理念，以及相关的数学共同核心国家标准。pi将长期跟踪学生，并在学区内工作，以确保评估系统的可行性和使用。这项研究将以多个资助机构先前的资助为基础，并实现四个主要目标。该伙伴关系旨在实现以下目标：1)通过增加新的项目类型和动态数据收集工具来修订和加强数学诊断性评估；2)利用学习轨迹的概念研究使用测量模型来评估学生数学进步的替代方法；3)研究如何帮助学生和教师有效地解释个人和班级的数学进步报告。4)设计和研究基于学生结果和解释的教学策略，因为它们在基于能力和个性化学习的课堂中实施。学习地图、评估系统和分析都是开源的，可以被其他研究和实现团队使用。由于许多州、学区和各种类型的学校寻求这种资源作为改善教学的手段，该项目将产生广泛的影响。最后，该研究项目有助于国家支持大规模创建、使用和应用基于研究的开放教育资源。

The Discovery Research K-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools (RMTs). 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. This proposal seeks to design a next generation diagnostic assessment using learning progressions and other research (in the learning sciences) to support middle grades mathematics teaching and learning. It will focus on nine large content ideas, and associated Common Core State Standards for Mathematics. The PIs will track students over time, and work within school districts to ensure feasibility and use of the assessment system. The research will build on prior funding by multiple funding agencies and address four major goals. The partnership seeks to address these goals: 1) revising and strengthening the diagnostic assessments in mathematics by adding new item types and dynamic tools for data gathering 2) studying alternative ways to use measurement models to assess student mathematical progress over time using the concept of learning trajectories, 3) investigating how to assist students and teachers to effectively interpret reports on math progress, both at the individual and the class level, and 4) engineering and studying instructional strategies based on student results and interpretations, as they are implemented within competency-based and personalized learning classrooms. The learning map, assessment system, and analytics are open source and can be used by other research and implementation teams. The project will exhibit broad impact due to the number of states, school districts and varied kinds of schools seeking this kind of resource as a means to improve instruction. Finally, the research project contributes to the nationally supported move to create, use, and apply research based open educational resources at scale.