Collaborative Research: Developing inquiry oriented instructional materials for Linear Algebra

合作研究：开发面向探究的线性代数教学材料

• 批准号: 1245796
• 负责人: Chris Rasmussen
• 金额: $ 6.56万
• 依托单位: San Diego State University Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-06-15 至 2016-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1245796&HistoricalAwards=false
• 关键词: Collaborative; Research; Developing; inquiry; oriented

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.

对于大学生而言，线性代数被广泛视为关键但困难，因此创新的教学材料至关重要。该项目正在生产：（a）由具有挑战性且连贯的任务序列组成的学生材料，这些序列促进了以询问为导向的线性代数教学和学习的方法； （b）实施学生材料的教学支持材料； （c）一种原型评估工具，用于衡量学生对关键线性代数概念的理解。该项目是通过开发教学材料来为该领域做出所需的贡献，该材料允许积极参与指导的关键数学思想探索。它还正在开发教学支持材料，这些材料可以传达教学设计师的意图而不会过分规定，并提供有关学生在任务序列中的思考和学习方式的信息。原型评估工具的生产具有价值，因为它进一步促进了在线性代数中的学生思维的了解，并提供了跨教学方法的比较度量。该研究合作数学教育研究人员和数学家将有关教学和学习的研究纳入了本科生的有效教学方法。项目结果通过期刊出版物，演示文稿和研讨会传播。通过项目网站促进了共享教学任务和支持材料。