Collaborative Research: Developing inquiry oriented instructional materials for Linear Algebra

线性代数被广泛认为是大学生的重点和难点，因此创新的教学材料是必不可少的。该项目正在生产：（a）学生教材，内容包括具挑战性和连贯性的责任序列，以促进以探究为本的方法教授和学习线性代数;（B）教学辅助材料，以实施学生教材;以及（c）原型评估工具，以衡量学生对主要线性代数概念的理解。该项目通过开发教学材料，使学生积极参与关键数学思想的指导探索，为该领域做出了必要的贡献。它还在编写教学辅助材料，这些材料既能传达教学设计者的意图，又不过分规定，并能提供关于学生在任务序列中如何思考和学习的信息。原型评估工具的生产是有价值的，因为它进一步了解学生在线性代数中的思维，并提供了一个衡量教学方法的比较。该研究与数学教育研究人员和数学家合作，将教学研究纳入本科阶段的有效教学方法。项目成果正通过期刊出版物、介绍和讲习班传播。通过项目网站促进了教学任务和支持材料的共享。

Linear algebra is widely viewed as pivotal yet difficult for university students, and hence innovative instructional materials are essential. This project is producing: (a) student materials composed of challenging and coherent task sequences that facilitate an inquiry-oriented approach to the teaching and learning of linear algebra; (b) instructional support materials for implementing the student materials; and (c) a prototype assessment instrument to measure student understanding of key linear algebra concepts. The project is making a needed contribution to the field by developing instructional materials that allow for active student engagement in the guided exploration of key mathematical ideas. It is also developing instructional support materials that convey the instructional designers' intention without being overly prescriptive and that provide information about how students think and learn within the task sequences. The production of a prototype assessment instrument is of value because it furthers what is known about student thinking in linear algebra and provides a measure of comparison across pedagogical approaches. The study partners mathematics education researchers and mathematicians to incorporate research on teaching and learning into effective pedagogical approaches at the undergraduate level. Project results are being disseminated through journal publications, presentations, and workshops. Sharing the instructional tasks and support materials is facilitated through the project website.