Developing Inquiry-Oriented Instructional Materials for Linear Algebra Instruction
Linear algebra is widely viewed as pivotal yet difficult for university students, and hence innovative instructional materials are essential. The goals of this project are to produce: (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 makes a needed contribution to the field by developing instructional materials that allow for active student engagement in the guided reinvention of key mathematical ideas. It also develops 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 study partners mathematics education researchers and mathematicians to incorporate research on teaching and learning into effective pedagogical approaches at the undergraduate level. Sharing the instructional tasks and support materials is facilitated through the project website.
This material is based upon work supported by the National Science Foundation under grant numbers DUE-1245673/1245796/1246083. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.