UTMOST: Undergraduate Teaching in Mathematics with Open Software and Textbooks

极限2.0项目将设计、开发和研究使用开放软件和电子教科书的本科数学教学的创新方法。这个项目将研究学生对电子教科书的使用，当这些教科书以各种格式和各种设备免费提供时。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。这一整合的主要载体将是SageMathCloud，一个丰富的在线环境，用于学生和他们的课程教师之间的计算和协作，以及Sage单元，一个独立的交互式计算模块，可以嵌入到任何网页中，而不需要安装软件或事先了解Sage，因为命令是预装的。此外，极限2.0将支持MathBook XML的进一步采用，MathBook XML是一个创作平台，可以创建功能强大的开源教科书，特别是可以同时存在于印刷和包含Sage单元格的在线格式的教科书。该项目包括对Sage单元的技术改进，这将使教师更容易为他们的特定课程需求创建自己的Sage单元。Sage细胞的目录将被整理，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，可以直接衡量教材使用的各个方面。极限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在真实教室中使用电子教科书和现代在线工具进行技术主题的交流。极限2.0将与多个机构的讲师合作，他们都将使用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服务器上，该服务器将被配置为以极细粒度的级别记录所有用户活动。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手段，这些信息可以稍后与学生在课程内容知识方面的收获相关联。maximus2.0还将帮助已经转换为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交互功能，如Sage单元格和WeBWorK练习。这将大大增加具有这些先进功能的书籍的数量，同时扩大了极限项目可以进行研究调查的领域。

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.