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An Example of Inquiry in Linear Algebra: The Roles of Symbolizing and Brokering
Authors:Michelle Zandieh  Megan Wawro  Chris Rasmussen
Institution:1. zandieh@asu.edu
Abstract:Abstract

In this paper we address practical questions such as: How do symbols appear and evolve in an inquiry-oriented classroom? How can an instructor connect students with traditional notation and vocabulary without undermining their sense of ownership of the material? We tender an example from linear algebra that highlights the roles of the instructor as a broker, and the ways in which students participate in the practice of symbolizing as they reinvent the diagonalization equation A = PDP?1.
Keywords:Inquiry  linear algebra  symbolizing  brokering
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