Open resources for the mathematics curriculum

在网上寻找大学数学的学习和教学资源并不困难——资源丰富。然而，寻找现成的、在各种环境中经过现场测试的、已知高质量的资源是一个更大的挑战。本次探索项目将(1)提供教材内容、视频、互动小程序、讲师指南等材料；(2)确定建立全面、有质量控制和有组织的图书馆的最佳方法，为大学水平的数学课程免费提供可重复使用的教学材料；(3)调查此类图书馆对教师采用循证教学实践的影响。这些材料将由合作创建和策划，该项目将提供开发和使用这些内容的培训。该项目将探索这种新方法如何使教师能够在课堂上找到和利用各种课程材料。作为策划课程的起点，该项目将侧重于线性代数，因为这些课程对于现实世界的应用以及数学理论都很重要。项目团队将开发一个托管和传播开放数学内容的平台，确定促进内容创作合作方式的最佳方式，并举办研讨会，培训教师使用开放内容。通过测量教师如何使用和重用开放内容，研究人员将发现在线内容的哪些特征在鼓励数学家广泛采用方面特别有效。

Finding online resources for the learning and teaching of college mathematics is not difficult -- resources abound. However, finding resources that are readily available, field-tested in a variety of settings, and known to be high quality is more of a challenge. This exploration project will (1) provide materials such as textbook content, videos, interactive applets, and instructor guides; (2) identify optimal methods for building comprehensive, quality-controlled, and curated libraries of freely reusable instructional materials for college-level mathematics courses; and (3) investigate the impact of such a library on faculty adoption of evidence-based teaching practices. The materials will be created and curated collaboratively, and the project will provide training in the development and use of such content. The project will explore how this new approach enables instructors to locate and utilize a variety of curricular materials in the classroom.As a starting point for a curated course, the project will focus on linear algebra because these courses are important for real-world applications as well as for the mathematical theory. The project team will develop a platform for hosting and disseminating open mathematics content, identify optimal ways to foster a collaborative approach to content creation, and run workshops to train faculty in the use of open content. By measuring how the open content is being used and reused by instructors, the investigators will discover what features of online content are especially effective at encouraging broad adoption by mathematicians.