Collaborative Research: Linear Algebra in New Environments (LINE)

数学科学（21）这个合作项目整合了：(a)重要数学内容的研究，(b)应用程序的使用，以及(c)教师和学生在高等本科线性代数课程的背景下对数学学习理论的反思。这门新课程的开发和实施涉及到在数学、计算机科学和数学教育等各个领域具有专业知识的教师之间的共同教学和合作。该项目包括大学教师的专业发展，他们将形成专业学习社区，以支持创新教学模式的实施。本项目旨在：1.；通过将数学与学生的经历联系起来激励学生；2. 将内容分析与学习理论和教学模式相匹配；和3。提供协作支持，以便利用内容和教学法方面的专业知识来设计有效的教学实践。这个项目的一个新特点是，在一个单一的学习课程中，以当前的本科数学教学理论为指导，将内容和应用相结合。该项目工作涉及数学和数学教育教师之间的重要和长期合作。该项目通过展示基于学科之间丰富合作的课程设计的影响，从而改变了参与机构的STEM教育，这些学科为内容、应用和教育理论做出了贡献。这些学校对数学有着浓厚的兴趣，尤其是线性代数，因为它对中学数学、计算机科学、抽象数学和工程都很重要。更广泛的影响：考虑到参与的大学和潜在的线性代数学生的数量，这个项目在初始阶段就影响了大量的学生。此外，在初始阶段参与的教师人数（至少10人）将对五家参与机构的STEM教学法和内容产生重大影响。这个项目中的所有数学教育工作者要么被安排在数学系，要么与他们的数学同事有很强的工作关系，因此有机会开始一场关于STEM教育如何发展的真正对话，以及这些数学教授和其他可以使用传播教学材料的人如何思考他们的学生如何学习数学。

Mathematical Sciences (21) This collaborative project integrates: (a) the study of important mathematical content, (b) the use of applications, and (c) reflection on mathematical learning theories by faculty and students in the context of an advanced undergraduate linear algebra course. The development and implementation of this new course involves co-teaching and collaboration among faculty with expertise in a variety of areas including mathematics, computer science and mathematics education. The project includes professional development of college faculty who will form professional learning communities to support implementation of innovative teaching modes. The project is designed to: 1. Motivate students by connecting math to their experiences; 2. Match the analysis of content to theories of learning and instructional models; and 3. Provide collaborative support so that expertise in content and pedagogy are used to design effective instructional practice. A novel characteristic of this project is the integration, within a single course of study, of content and applications, in a manner guided by current theories of teaching and learning mathematics at the undergraduate level. The project work involves a significant and long-term collaboration among mathematics and mathematics education faculty.Intellectual Merit This project is transforming STEM education at the participating institutions by demonstrating the impact of curriculum design based firmly in a rich collaboration among disciplines that contribute content, application, and educational theory. There is a strong interest in mathematics in these schools, and particularly in linear algebra, because of its importance for secondary mathematics, computer science, abstract mathematics and engineering. Broader Impacts: This project is impacting a large number of students even in its initial phase, given the number of colleges and potential linear algebra students involved. In addition, the number of faculty who will be involved (at least 10) in the initial phase promises a strong impact in STEM pedagogy and content at the five participating institutions. All of the mathematics educators in this project are either placed in mathematics departments or have strong working relationships with their colleagues in math, and therefore there is an opportunity to begin a genuine dialogue about how STEM education could evolve, and the way that these mathematics professors, and others who could use the disseminated instructional materials, think about how their students learn mathematics.