Collaborative Research: Developing Inquiry Oriented Instructional Materials for Linear Algebra

线性代数被广泛认为对大学生来说是关键而困难的，因此创新的教学材料是必不可少的。这个项目正在制作：(a)由具有挑战性和连贯的任务序列组成的学生材料，促进以探究为导向的线性代数教学方法；(b)实施学生材料的教学支持材料；(c)一个原型评估工具来衡量学生对关键线性代数概念的理解。该项目通过开发教学材料，使学生能够积极参与对关键数学思想的指导探索，为该领域做出了必要的贡献。它还在开发教学支持材料，以传达教学设计师的意图，而不是过度规范，并提供有关学生如何在任务序列中思考和学习的信息。原型评估工具的制作是有价值的，因为它进一步了解了学生在线性代数中的思维，并提供了一种跨教学方法的比较措施。该研究与数学教育研究人员和数学家合作，将教与学的研究纳入本科水平的有效教学方法。项目成果正通过期刊出版物、报告和讲习班传播。通过项目网站，可以方便地分享教学任务和辅助材料。

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.