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  1. ; ; ; ; ( , Proceedings of the Annual Conference on Research in Undergraduate Mathematics Education)
    Karunakaran. S. S. ; Higgins, A. (Ed.)
    We present the results of a classroom teaching experiment for a recently designed unit for the Inquiry-Oriented Linear Algebra (IOLA) curriculum. The new unit addresses orthogonality and least squares using Realistic Mathematics Education design principles with the intent to implement the new unit in an IOI (Inquiry-Oriented Instruction)-style classroom. We present an analysis of students’ written responses to characterize how they thought about the notion of shortest distance, travel vectors, orthogonality, and dot product in the “Meeting Gauss” context. 
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    Accepted Manuscript Full Text Available
  2. ; ; ; ; ( , Proceedings of the Annual Conference on Research in Undergraduate Mathematics Education)
    Karunakaran, S. ; & Higgins, A. (Ed.)
    We present the results of a classroom teaching experiment for a recently designed unit for the Inquiry-Oriented Linear Algebra (IOLA) curriculum. The new unit addresses orthogonality and least squares using Realistic Mathematics Education design principles with the intent to implement the new unit in an IOI (Inquiry-Oriented Instruction)-style classroom. We present an analysis of students’ written responses to characterize how they thought about the notion of shortest distance, travel vectors, orthogonality, and dot product in the “Meeting Gauss” context. 
    more » « less
    Accepted Manuscript Full Text Available