Using Problem-Based Learning Analytics to Investigate Individual and Collaborative Mathematics Learning in a Digital Environment Over Time

在技术增强的课堂上支持丰富的学生学习、话语和协作可能是一项重大挑战，因为技术可能会成为对话的障碍。该项目支持开发一个嵌入丰富的中学数学任务的协作式数字学习环境。该项目旨在了解数字平台如何增强学生在学习数学方面的个人和合作参与，以及在为期一年的七年级课程中，学生的参与和学习是如何受到影响的。该项目将使用互联数学项目材料开发最初的数字协作平台，这是一个丰富的、以问题为基础的中学数学课程。使用数字笔记本、平台分析和其他课堂人工制品，该团队将为支持学生在数学学习中协作的数字平台开发一套设计特征。本项目将探索与学生在技术平台中的学习和协作相关的两个关键问题：平台如何增强学生的个人和协作参与，以及在重复使用该平台的一学年中，学生的学习成果、参与度和态度是如何发展的。该项目将使用该平台收集与学生合作、参与、教学实践、课堂人工制品以及学生和教师的书面和口头数学反思相关的数据。研究成果将包括以研究为基础的方法在技术增强的数学教育中使用学习分析的指导方针，了解使用数字笔记本支持有意义的STEM学习的设计特征，以及在使用数字学习资源支持学生的个人需求方面师生边界的性质。该项目将重点深入研究七年级课程中的一个关键数学思想-比例推理，以了解使用该平台如何随着时间的推移影响学生的理解。项目活动将包括与学生一起开发和测试该平台，与教师进行试点和现场测试，以及为教师提供专业学习机会，以确保该平台在实践中得到深思熟虑的实施。探索研究预科-12项目(DRK-12)旨在通过研究和开发创新资源、模型和工具，显著提高预科-12学生和教师在科学、技术、工程和数学(STEM)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，为拟议的项目提供了理论和经验上的证明。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

Supporting rich student learning, discourse, and collaboration in technology-enhanced classrooms can be a significant challenge as technology can act as an impediment to conversation. This project supports the development of a collaborative digital learning environment that embeds rich middle school mathematics tasks. The project aims to understand how students' individual and collaborative engagement in learning mathematics is enhanced by the digital platform, and how student engagement and learning is affected over the course of a year-long seventh grade course. The project will develop the initial digital collaborative platform using the Connected Mathematics Project materials, a rich, problem-based middle grades mathematics curriculum. Using digital notebooks, platform analytics, and other class artifacts, the team will develop a set of design characteristics for digital platforms that support student collaboration in learning mathematics.This project will explore two key questions related to student learning and collaboration in the technological platform: how does the platform enhance students' individual and collaborative engagement, and how do student learning outcomes, engagement, and attitudes develop over an academic year in which the platform is used repeatedly. The project will use the platform to collect data related to student collaboration, engagement, instructional practices, classroom artifacts, and written and spoken mathematical reflections from students and teachers. The research outcomes will include guidelines for a research-based approach to the use of learning analytics in technology-enhanced mathematics education, an understanding of design features that support meaningful STEM learning using digital notebooks, and the nature of the teacher-student boundaries in using digital learning resources to support students' individual needs. The project will focus on a deep examination of a key mathematical idea in the seventh-grade curriculum, proportional reasoning, to understand how students' understandings are influenced over time using the platform. Project activities will include development and testing of the platform with students, pilot and field testing with teachers, and professional learning opportunities for teachers to ensure thoughtful implementation of the platform in practice.The Discovery Research preK-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. 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 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.