Collaborative Research: UTMOST: Undergraduate Teaching in Mathematics with Open Software and Textbooks

合作研究：UTMOST：利用开放软件和教科书进行本科数学教学

• 批准号: 1624998
• 负责人: Susan Lynds
• 金额: $ 6万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-09-15 至 2019-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1624998&HistoricalAwards=false
• 关键词: Collaborative; Research; UTMOST; Undergraduate; Teaching

The UTMOST 2.0 project will design, develop and study innovative approaches to the teaching and learning of undergraduate mathematics using open software and electronic textbooks. This project will study students' use of electronic textbooks when these are made freely available in a variety of formats and on a variety of devices. These textbooks will support interactive computation through a seamless integration of Sage, the leading open-source computing system for mathematics. The main vehicles for this integration will be SageMathCloud, a rich online environment for computation and collaboration between students and their course instructor, and Sage cells, self-contained interactive calculation modules that can be embedded in any web page while requiring no software installation or prior knowledge of Sage, because the commands are pre-loaded. Additionally, UTMOST 2.0 will support the further adoption of MathBook XML, an authoring platform that enables the creation of highly functional, open-source textbooks--in particular, textbooks which can exist both in print and in an online format that contains Sage cells. The project includes technical improvements to Sage cells which will make it easier for instructors to create their own Sage cells for their particular course needs. A catalog of Sage cells will be curated, which will further lower the barrier to widespread adoption. Online dynamic textbooks provide a unique opportunity to directly measure all aspects of how they are used. UTMOST 2.0 is designed to leverage technology to enhance the quality and breadth of the mathematical education research into how students and teachers use electronic textbooks and modern online tools for communication about technical subjects in real classrooms. UTMOST 2.0 will work with instructors at multiple institutions, all of whom will use MathBook XML textbooks, some in the online version and some in the printed version. The online version will be hosted in the cloud, on a server that will be configured to record all user activity at an extremely fine-grained level. The automatic online data collection will be combined with classroom data collection methods, providing a means to validate the information collected that can later be correlated with student gains in course content knowledge. UTMOST 2.0 will also assist authors of undergraduate mathematics textbooks that have already converted to the Mathbook XML format in the next steps of incorporating interactive features such as Sage cells and WeBWorK exercises. This will greatly increase the number of books with those advanced features and simultaneously expand the areas in which the UTMOST project can perform its research investigations.

UTMOST 2.0 项目将使用开放软件和电子教科书设计、开发和研究本科数学教学的创新方法。该项目将研究学生对以各种格式和各种设备免费提供的电子教科书的使用情况。这些教科书将通过与领先的数学开源计算系统 Sage 的无缝集成来支持交互式计算。 这种集成的主要工具将是 SageMathCloud（一个丰富的在线环境，用于学生和课程讲师之间的计算和协作）和 Sage cells（独立的交互式计算模块，可以嵌入到任何网页中，无需安装软件或事先安装） Sage 的知识，因为命令是预先加载的。此外，UTMOST 2.0 将支持 MathBook XML 的进一步采用，这是一个创作平台，可以创建功能强大的开源教科书，特别是可以以印刷版和包含 Sage 单元的在线格式存在的教科书。该项目包括对 Sage 单元的技术改进，这将使教师能够更轻松地根据其特定课程需求创建自己的 Sage 单元。我们将整理 Sage 细胞目录，这将进一步降低广泛采用的障碍。在线动态教科书提供了一个独特的机会来直接衡量其使用方式的各个方面。 UTMOST 2.0 旨在利用技术来提高数学教育研究的质量和广度，研究学生和教师如何使用电子教科书和现代在线工具在真实课堂上交流技术主题。 UTMOST 2.0 将与多个机构的教师合作，所有教师都将使用 MathBook XML 教科书，有些是在线版本，有些是印刷版本。在线版本将托管在云端的服务器上，该服务器将配置为以极其精细的粒度记录所有用户活动。自动在线数据收集将与课堂数据收集方法相结合，提供一种验证收集到的信息的方法，这些信息随后可以与学生在课程内容知识中的收获相关联。 UTMOST 2.0 还将协助已经转换为 Mathbook XML 格式的本科数学教科书的作者在接下来的步骤中整合 Sage 单元格和 WeBWorK 练习等交互功能。这将大大增加具有这些高级功能的书籍数量，同时扩大 UTMOST 项目可以进行研究调查的领域。